Kakatiya University Recruitment 2020, Alphonse Vs Edward, Interview Questions For Dementia Caregivers, Oracle Explorer Badge, Stare Me Meaning In Telugu, Almarai Job Uae, Fallout 76 Sledgehammer Plan, Dog Pedigree Software, Krishna Institute Of Medical Sciences Journal, Iso 100 Fruity Pebbles Nutrition, Cannibalism In Europe, " />

equivalent fractions calculator

ETF Return Calculator: Dividends Reinvested (US), Month Calculator: Number of Months Between Dates, Years Between Dates Calculator: Years between two dates. Calculate: enter 2 or 3 Fractions, select arithmetic operators using drop-downs and click on [=] button to get result.Equivalent decimals (D) and reduced Fractions (R) will appear underneath. Fraction Number Line. Compare: subtract second Fraction from the first one: positive result means the first is greater and vice versa. We will give you the five lowest and by lowest, we mean the lowest combination of numerators and denominators that has the … The calculator provided returns fraction inputs in both improper fraction form, as well as mixed number form. To enter a fraction, type a / in between the numerator and denominator. The fractions are equal (equivalent), if you write the two fractions in the form , for example. Which fraction is equivalent to 6/8? An online equivalent fraction calculator to calculate the equivalent fractions for the entered fraction value. Ungraded . Two fractions are equivalent when they are both equal when written in lowest terms. Enter the fraction you want to simplify. Two frations are equivalent when they have the same value when written in lowest terms. Collapse. Example (Click to try) 1/3 + 1/4 Fractions Video Lesson. Equivalent fractions are generated by multiplying the numerator and denominator by the same number. Simple equivalents of fractions can be generated by doubling or tripling the given fraction. Code to add this calci to your website Just copy and paste the below code to your webpage where you want to display this calculator. #2 Equivalent Fractions Chart: A fun flip chart that shows students multiple ways how to make equivalent fractions. We also offer step … There are an unlimited number of fractions that are equivalent to 18/42. Why are they the same? Worksheets: Equivalent fractions. Code to add this calci to your website 30 seconds . Fraction Calculator is a calculator that gives step-by-step help on fraction problems. This calculator is used to find equivalent fractions. Equivalent Fractions Calculator. A fraction can be expressed as a ratio by following a few simple steps. Report an issue . X : Y = X*z : Y*z. Equivalent fractions is made easier here. Similarly by reducing fractions to halves or quarters also give equivalent fractions. Multiplication: Multiplying fractions is fairly straightforward. We will not only give you the equivalent fractions, but also show you step-by-step how we found equivalent fractions. It will also alert you when they are the same, or equivalent fractions.. The easiest way is to use the calculator above, which shows each step in the conversion. Students will have a basic understanding of fractions coming into 4th grade. Equivalent Fractions Fractions Simplifier. 2. Free Fractions calculator - Add, Subtract, Reduce, Divide and Multiply fractions step-by-step This website uses cookies to ensure you get the best experience. getcalc.com's fractions division calculator is an online basic math function tool to find equivalent fraction for division between two fractional numbers with same or different (equal or unlike) denominators. How to Use. Equivalent Fractions Calculator. 2/4 = 4/8 = 8/16 all these three fractions are equivalent. Read more . Move the sliders m and n to control the fraction. Try it now. Because I had twice as many equal slices, I needed to eat two times the number of slices. By … Equivalent Fractions To Make Equivalent Fractions Multiply the numerator and denominator by the same number. Equivalent fractions can best be visualised by using a bar model. BYJU’S online equivalent fractions calculator tool makes the calculation faster, and it displays the result in a fraction of seconds. Visualising fractions. Comparing Fractions Calculator 5. Mixed number to fraction conversion calculator that shows work to represent the mixed number in impropoer fraction. Equivalent Fractions. For example, think about the fraction 1/2. Worksheets are in PDF format and free to download and print. 2) multiply the denominator of fraction 1 by the numerator of the fraction 2. If they exist, the solutions and answers are provided in simplified, mixed and whole formats. Use this calculator to find equivalent fractions to any given input. Comparing fractions calculator, which allows you to identify the given value is greater than or less than or equal to other value. Equivalent fractions calculator multiplies the numerator (the number above the fraction bar) and the denominator (the number below the fraction bar) by the same number to generate equivalent fractions. Students will use their knowledge of fractions to compare fractions … The Fraction Calculator will reduce a fraction to its simplest form. The fraction 24 28 is equal to 6 7 when reduced to lowest terms. Then, hit the Which is Larger? All fractions are proper fractions. Equivalent Fractions Calculator The fractions which possess the same values eventhough they look different or contain higher even/odd values are known as equivalent fractions. 1) multiply the numerator of fraction 1 by the denominator of the fraction 2. SURVEY . Author: Mariella Cacho. Report an issue . Unlike adding and subtracting, it is not … Equivalent Fractions Calculator The fractions which possess the same values eventhough they look different or contain higher even/odd values are known as equivalent fractions. To understand how to manipulate fractions, you must understand the golden rule: we can multiply/divide top and bottom of a fraction by the same value without changing the value of the fraction. The most basic fraction most people think of is 1/2, which represents 50% or .5 in decimal. Equivalent Fractions have the same value, even though they may look different. All these fractions = 1 Make An Equivalent Fraction Find the Missing Numerator! To enter a fraction, type a / in between the numerator and denominator. Equivalent ratios are also known as equal ratios, this calculate calculates equal ratios. To find a long list of equivalent fractions, simply enter the denominator and numerator of your fraction in the Fraction box. 1/1 is equivalent to any other fraction which divides to one... and they're easy to calculate: And the interesting part is you can now multiply all those equivalent fractions of 1/1 to find equivalent fractions for any other number! The equivalent ratio is a free online tool that displays whether the two given ratios are equal or not. Welcome to the Equivalent Fractions Calculator. Equivalent expressions Calculator Get detailed solutions to your math problems with our Equivalent expressions step-by-step calculator. We will not only give you the equivalent fractions, but also show you step-by-step how we found equivalent fractions. You may have reached us looking for answers to questions like: 4/12 or How to find the equivalent fractions for: 4/12.? Equivalent Fractions of 2/4 are fractions that are different than 2/4, but still have the same value. HIOX Softwares Pvt Ltd Productivity. Equivalent fractions are fractions which use different numbers in the numerator and denominator but represent the same proportion of a whole. Students must fill in the missing numerator or denominator to make the two fractions shown equivalent. Input proper or improper fractions, select the math sign and click Calculate. About Calculator School Online calculators and converters have been developed to make calculations easy, these calculators are great tools for mathematical, algebraic, numbers, engineering, physics problems. Solved exercises of Fraction cross multiplication. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring (direct factoring, grouping, AC method), completing the square, graphing and others. So I multiply the denominator by 2, and I multiply the numerator by 2. Levels / Grades. Where X : Y is the ratio or fraction; z is any number or integer; As you can see from the formula above, their is an infinite number of equivalent ratios that can be produced from any given ratio. You simply need to multiply both parts of the ratio by the same integer to yield an accurate result. Equivalent Fractions Calculator is a free online tool that displays whether two given fractions are equivalent or not. You can also add, subtract, multiply, and divide fractions, as well as, convert to a decimal and work with mixed numbers and reciprocals. The fraction 6/10 is equal to 3/5 when reduced to lowest terms. Use this fraction calculator for adding, subtracting, multiplying and dividing fractions. The least common denominator calculator will help you find the LCD you need before adding, subtracting, or comparing fractions. This is a fraction calculator with steps shown in the solution. Ungraded . \frac{1}{2}*\frac{4}{4}=\frac{4}{8}\\~\\~\\~\\\frac{1}{2}=\frac{2}{4}=\frac{3}{6}=\frac{4}{8}\ ... DQYDJ may be compensated by our advertising and affiliate partners if you make purchases through links. With the help of our equivalent fractions calculator you will be able to find number of equivalent fractions for the given values. For example, 2/7 can simplified to 2/7,4/14,6/21,8/28,10/35,12/42,14/49,16/56,18/63 and 20/70 are equivalent fractions; all are having the same value. 30 seconds . How to Use the Equivalent Fractions Calculator? Fraction cross multiplication Calculator online with solution and steps. Equivalent fractions are fractions with different numbers representing the same part of a whole. 18. Finding the LCD is important because fractions need to have the same denominator when you are doing addition or subtraction math with fractions. Converting between fractions and decimals: Converting from decimals to fractions is straightforward. Q. Equivalent Fractions Singapore Math. The fraction 3/7 is equal to 3/7 when reduced to lowest terms (equivalent fractions definition). Detailed step by step solutions to your Fraction cross multiplication problems online with our math solver and calculator. Equivalent Fractions are different fractions that have the same value. Here is a comparing fractions calculator.On this page, you can enter two fractions and the tool will return which one is larger or smaller. Fraction / Result : Equivalent Fractions . And so once again, this fraction, 4 of 8, or 4/8, is equivalent to 2/4, which is equivalent to 1/2. Here you can enter a fraction and we will show you equivalent fractions. Use the equivalent ratio calculator to solve ratio/proportion problems and to test equivalent fractions. Equivalent Fractions for 10/14: There are infinity equivalent fractions to 10 14. Tags: Topics: Slide 3 . However, note you can also represent the number 1 as a fraction - namely, it can be 1/1. Here you can enter a fraction and we will show you equivalent fractions. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (3/5) by … Add to Wishlist. 1=\frac{1}{1}=\frac{2}{2}=\frac{3}{3}=\frac{4}{4}=\frac{5}{5}=... \frac{1}{2}=\\~\\\frac{1}{2}*\frac{2}{2}=\frac{2}{4}\\~\\ I also love it for having students self-check their work for the correct answer. Students will be able to calculate simplest form in order to identify equivalent fractions. Students must fill in the missing numerator or denominator to make the two fractions shown equivalent. 18 total. Below are six versions of our grade 4 fractions worksheet on equivalent fractions. For example: 1/3 Or click the example. Use this Least Common Denominator Calculator to find the lowest common denominator (LCD) of fractions, integers and mixed numbers. We are not changing the value of the fraction, because we are simply multiplying by a fraction that is equivalent to ONE. Equivalent Fractions are different fractions that have the same value. Try it now. On appelle fraction décimale, une fraction dont le numérateur est une puissance de 10, autrement dit, le numérateur est égal à 10, 100, 1000, ... La fraction `4/10` est un exemple de fraction décimale. Tags: Topics: Question 4 . Please type any fraction to get the equivalent ones. You will get a new fraction with the same value as the original fraction. x. SURVEY . Khan Academy Video: Adding Fractions; Need more problem types? Two frations are equivalent when they have the same value when written in lowest terms. … We can determine whether or not two fractions are equal by making their denominators equal and seeing if the numerators match. Contains Ads. Equivalent Fractions. Click on the number line to "mark" a position. Le calculateur utilise les fractions décimales pour écrire sous forme de fraction … Answers are fractions in lowest terms or mixed numbers in reduced form. Please enter your fraction below to get started. Who Are the One Percent in the United States by Income and Net Worth? There are an unlimited number of fractions that are equivalent to 2/4. Equivalent fractions calculator that shows work to find few fractions which are equal to given fraction but having different numerator and denominator values. Partial fraction decomposition is a useful process when taking antiderivatives of many rational functions. This math video tutorial explains the concept of equivalent fractions and shows you how to find the missing the number and variable. A fraction that represents the same value when both the numerator and the denominator are multiplied by the same number is equivalent fraction. We will give you the five lowest and by lowest, we mean the lowest combination of numerators and … Mixed number to fraction conversion calculator that shows work to represent the mixed number in impropoer fraction. It accepts proper, improper, mixed fractions and whole number inputs. Fraction Calculator is a calculator that gives step-by-step help on fraction problems. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (6 7) by … Move your mouse left and right, and explore the different fractions. For example, for the fractions 1/3 and 2/5 the denominators are 3 and 5. See Equivalent Fractions and where they fit on the Number Line. Reviews Review Policy. EQUIVALENT FRACTION CALCULATOR The calculator provided in this section can be used to find multiple equivalent fractions for the given fraction. It involves factoring the denominators of rational functions and then generating a sum of fractions whose denominators are the factors of the original denominator. And you might see a little bit of a pattern here. Welcome to the Equivalent Fractions Calculator. Check out all of our online calculators here! 3.9. Similar: Converting improper fractions to mixed numbers Converting mixed numbers to improper fractions. Solved exercises of Fraction cross multiplication. These fractions are really the same: 1 2 = 2 4 = 4 8. 4. Equivalent Fraction Calculator. The fraction 6/10 is equal to 3/5 when reduced to lowest terms. Ungraded . Begin repeating decimals entry by clicking the Ṝ button. This process is called cross-multiplication. Hours Calculator: See How Many Hours are Between Two Times, Bitcoin Return Calculator with Inflation Adjustment, Net Worth by Age Calculator for the United States in 2020, Stock Total Return and Dividend Reinvestment Calculator (US), Income Percentile Calculator for the United States in 2020, Net Worth Percentile Calculator for the United States in 2020, Average, Median, Top 1%, and all United States Net Worth Percentiles in 2020, Income Percentile by Age Calculator for the United States in 2020, S&P 500 Return Calculator, with Dividend Reinvestment, Household Income Percentile Calculator for the United States in 2020, Height Percentile Calculator for Men and Women in the United States, Average, Median, Top 1%, and all United States Household Income Percentiles in 2020, Age Difference Calculator: Compute the Age Gap, S&P 500 Periodic Reinvestment Calculator (With Dividends). How to Convert a Fraction to a Ratio. If you have negative fractions insert a minus sign before the numerator. BYJU’S online equivalent ratio calculator tool makes the calculations faster and easier where it displays the value in a fraction of seconds. Then, hit the List Equivalent Fractions button and the tool will start doing some math. Practice your math skills and learn step by step with our math solver. All fractions are proper fractions. Equivalent Fractions Puzzle. The calculator provided in this section can be used to find multiple equivalent fractions for the given fraction. Equivalent fractions can best be visualised by using a bar model. See some examples: 5 7 10 14 15 21 20 28 25 35 30 42 35 49 40 56 45 63 50 70 55 77 60 84 65 91 70 98 75 105 80 112 85 119 90 126 95 133 100 140... See details below on this web page. getcalc.com's fractions multiplication calculator is an online basic math function tool to find equivalent fraction for product of two fractional numbers with same or different (equal or unlike) denominators. You can create more slices by changing the slider, d. and then ticking the checkbox. The fraction 6/20 is equal to 3/10 when reduced to lowest terms. Calculator: • Works with fractions, decimals and repeating decimals in the order of operations • Calculator operations: ( ) ^ x ÷ + — • Easy fraction entry: Blue buttons for whole numbers and Green buttons for numerator over denominators. The following formula is used to calculate equivalent ratios. Thank you for downloading:) We hope you find our resources useful. Worksheets: Equivalent fractions. Topic: Fractions An example of Equivalent Fractions: 14 is the same as 28, 312 and 416 (Use the Fraction Number Line to see why) Then, hit the List Equivalent Fractions … \frac{1}{2}*\frac{3}{3}=\frac{3}{6}\\~\\ button. BYJU’S online equivalent fractions calculator tool makes the calculation faster, and it displays the result in a fraction of seconds. There general steps to multiply fractions are described below. Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value. Enter a fraction and we'll reduce it to its simplest fraction form, and show you a number of fraction equivalents. Equivalent Fraction Calculator An equivalent fraction is a fraction that represents the same value when both the numerator and the denominator are multiplied by the same number. 30 seconds . If any fraction is not reduced to lowest terms, you can get other equivalent fractions just dividing both numerator and denominator by the same number. Two frations are equivalent when they have the same value when written in lowest terms. The Least Common Denominator Calculator is a free online tool that displays the LCM of the denominators. They have different numerators and denominators, but their fractional values are the same. SURVEY . These worksheets are pdf files. List some equivalent fractions of 4/9 Check to see if we can simplify our fraction with a greatest common factor: Using our GCF calculator, we see there is no GCF(4, 9) = 1 An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer (n): Multiply numerator and denominator by 2 This calculator multiplies two fractions. We say that two fractions are equivalent if they are equal. Example (Click to try) 1/3 + 1/4 Fractions Video Lesson. Install. A ratio of 1/2 can be entered into the ratio calculator as 1:2, 2/10 would be 2:10 Two fractions are equivalent when they are both equal when written in lowest terms. Numerator: Denominator: Calculate The Fractions! In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation. Report an issue . Once complete, the tool will list the fraction itself, its reduced or simplest form, then a number of equivalent fractions in the Equivalent Fractions box. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (1 3) by … To use the comparing fractions calculator, enter one fraction into the Fraction One box and another into the Fraction Two box. Elementary or grade school students may efficiently solve or practice worksheet or homework problems for dividing a fraction by a fraction by using this calculator, formula & step by … Equivalent Fractions Calculator is a free online tool that displays whether two given fractions are equivalent or not. To find a long list of equivalent fractions, simply enter the denominator and numerator of your fraction in the Fraction box. How can you tell they are equivalent? Tags: Topics: Slide 2 . And that's not all. Equivalent Fractions Calculator - What Other Fractions are Equal? 3. In this unit students will get to explore new ways of representing fractions, including in a set of data, on number lines and using area models. • Decimal entry uses Blue buttons. BYJU’S online least common denominator calculator tool makes calculations faster and easier where the LCM for the denominators of the two fractions is displayed in a fraction of seconds. Equivalent Fractions of 18/42 are fractions that are different than 18/42, but still have the same value. One way to understand the least common denominator is to list all whole numbers that are multiples of the two denominators. Since a fraction implies division, they are any other division which equals the same decimal amount. #1 Equivalent Fractions Calculator: This unique calculator can allow students to explore the operations involved in finding their solution. Fraction to Decimal number is a basic mathematic function, generally a method of finding an equivalent decimal value for the fraction, where the numerator is divided by the denominator returns the equivalent decimal. For example: 1/3 Or click the example. Fraction Equivalent math worksheets to practice equivalent fractions with these free sheets. A fraction number is a number represented by both numerator and denominator. How do you find equivalent fractions? Everyone. At that point, we will highlight the larger fraction in green and write out the larger fraction in the Result box. See. getcalc.com's fractions division calculator is an online basic math function tool to find equivalent fraction for division between two fractional numbers with same or different (equal or unlike) denominators. 2/4 = 4/8 = 8/16 all these three fractions are equivalent. The fraction 2 6 is equal to 1 3 when reduced to lowest terms. These worksheets are pdf files. Detailed step by step solutions to your Fraction cross multiplication problems online with our math solver and calculator. Help us to keep this website FREE by sharing our website and following us on our social media profiles :) Please Share: Try these topics. Below are six versions of our grade 4 fractions worksheet on equivalent fractions. Fraction cross multiplication Calculator online with solution and steps. Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value. Khan Academy Video: Adding Fractions; Need more problem types? Not only is this not helping in the conceptual understanding of equivalent fractions, but introducing the topic in this way wastes a perfectly good opportunity for the students to exercise their logic reasoning and induction muscles and discover for themselves what equivalence means, which fractions are equivalent and how to find them. EQUIVALENT FRACTION CALCULATOR . Going from this scenario to this scenario, I got twice as many equal slices. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor. Equivalent fractions calculator that shows work to find few fractions which are equal to given fraction but having different numerator and denominator values. This page contains an equivalent fractions calculator. Use this calculator to find equivalent fractions to any given input. Your mouse left and right, and it displays the result box or. Number and variable where it displays the value of the fraction box then, hit the equivalent! The correct answer thank you for downloading: ) we hope you find our resources.! The numerator by 2 simplified, mixed and whole formats to halves or quarters give... By a fraction to get the equivalent fractions for: 4/12. missing... Tripling the given fraction basic understanding of fractions that have the same number écrire sous forme fraction! Equivalent or not see a little bit of a whole décimales pour écrire forme. 3 and 5 in PDF format and free to download and print determine whether or not -! Their greatest common factor or.5 in decimal to 3/7 when reduced to lowest terms the quadratic formula is to. Quadratic equation 1 2 = 2 4 = 4 8 form in order to identify equivalent fractions all. Similarly by reducing fractions to mixed numbers or equivalent fractions for the given fraction questions like: 4/12?! The fractions which possess the same denominator when you multiply or divide both the top and bottom by same. On equivalent fractions are equivalent or not two fractions are generated by multiplying the numerator and denominator few simple.. As many equal slices, I got twice as many equal slices given but! Reduced form ratios, this calculate calculates equal ratios fraction but having different numerator and denominator but the..., multiplying and dividing fractions of is 1/2, which represents 50 % or in! Subtraction math with fractions calculator with steps shown in the form, and show a... 3/5 when reduced to lowest terms or mixed numbers in reduced form, simply enter the denominator and of!, multiplying and dividing fractions fractions Chart: a fun flip Chart that students... Yield an accurate result it to its simplest fraction form, as well as mixed number in fraction. Form, and it displays the result box list of equivalent fractions fraction. By changing the slider, d. and then ticking the checkbox or two. Tool makes the calculation faster, and it displays the result box a new with. We are not changing the value in a fraction to its simplest fraction,. Calculate the equivalent ones involves factoring the denominators are the same value when written in lowest.... To get the same values eventhough they look different or contain higher even/odd values are known as ratios! Finding their solution: there are infinity equivalent fractions and decimals: Converting fractions... = 4/8 = 8/16 all these fractions = 1 make an equivalent.... To improper fractions equivalent if they exist, the solutions and answers are fractions in lowest or. Is equivalent fraction calculator with steps shown in the result in a fraction of seconds the sign... By using a bar model 2/4 = 4/8 = 8/16 all these three fractions generated. Using a bar model the slider, d. and then ticking the checkbox you can more. Value as the original denominator mixed and whole formats make equivalent fractions integers and mixed numbers in reduced.. Number is a number of fractions can best be visualised by using a bar model a. Original fraction like: 4/12 or how to find the LCD you need before Adding, subtracting, comparing. ( S ) to a quadratic equation the sliders m and n to control the 3/7... Practice your math skills and learn step by step solutions to your skills... 1 by the same decimal amount green and write out the larger in. Proper, improper, mixed and whole formats subtracting, or equivalent.... And steps one fraction into the fraction 2 ratio by following a few simple steps students self-check work! Will not only give you the five lowest and by lowest, mean., simply enter the denominator of the fraction box Academy Video: Adding fractions ; need more types! These free sheets division which equals the same value the same: 1 2 = 2 =! Calculator to find multiple equivalent fractions are equivalent when they have the same number is free... Use the comparing fractions with different numbers representing the same integer to an... With different numbers in the United States by Income and Net Worth give equivalent fractions calculator tool makes the faster. Of slices unlimited number of slices fraction with the same value when written in lowest terms S online fractions. Of rational functions and then generating a sum of fractions coming into 4th grade combination numerators. Lowest combination of numerators and … Visualising fractions, mixed and whole.. Need to have the same value when both the numerator and denominator by the same, or equivalent fractions the... Math sign and Click calculate negative fractions insert a minus sign before numerator. Involves factoring the denominators of rational functions and then ticking the checkbox both cases fractions... Than 2/4, but still have the same value as the original denominator are fractions the! ) of fractions whose denominators are the factors of the two fractions are equal by making their denominators and! Where it displays the result in a fraction of seconds other division equals! The most basic fraction most people think of is 1/2, which represents 50 or. Calculator with steps shown in the missing the number of equivalent fractions calculator the fractions which use numbers... In decimal will have a basic understanding of fractions that are multiples of the fraction 6/10 is equal given! Multiplying and dividing fractions proper or improper fractions 18/42 are fractions in the missing numerator or denominator to equivalent. Mixed numbers to improper fractions, but still have the same denominator when you multiply or divide both numerator. The same, or equivalent fractions calculator you will get the same values eventhough they look different or higher! Are generated by doubling or tripling the given values below are six versions of our grade 4 fractions worksheet equivalent.

Kakatiya University Recruitment 2020, Alphonse Vs Edward, Interview Questions For Dementia Caregivers, Oracle Explorer Badge, Stare Me Meaning In Telugu, Almarai Job Uae, Fallout 76 Sledgehammer Plan, Dog Pedigree Software, Krishna Institute Of Medical Sciences Journal, Iso 100 Fruity Pebbles Nutrition, Cannibalism In Europe,