How do you work out equivalent fractions

Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:.

Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake. If you cut a cake into eight equal pieces and eat four of them, you will still have eaten half the cake. These are equivalent fractions. This section explains equivalent fractions in more detail.

How do you work out equivalent fractions

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Equivalent fractions 2. About About this video Transcript. Learn how to write equivalent fractions. Created by Sal Khan. Want to join the conversation? Log in. Sort by: Top Voted.

Regardless of the terms of a fraction, they are equivalent if the two numbers are exactly the same when expressed as a decimal. Posted 3 years ago. Log in Social login does not work in incognito and private browsers.

Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value. All equivalent fractions get reduced to the same fraction in their simplest form as seen in the example given above. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent. Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified. Equivalent fractions are defined as those fractions which are equal to the same value irrespective of their numerators and denominators. Let us see how their values are equal. We will represent each of these fractions as circles with shaded parts.

February 4, by Anthony Persico. Fractions are one of the most important foundational topics in math and students need to understand how to perform operations on fractions like adding and subtracting fractions and multiplying fractions. But, before students can understand fractions at an advanced level, it is critical that they have a strong grasp of equivalent fractions. In real life, we often deal different values that can be considered equivalent or equal to each other. For example, we know that 60 minutes is equivalent to 1 hour and we also know that 16 ounces are equivalent to one pound. In each case, we are expressing the same amount of time or weight in two different ways that are interchangeable. This idea of expressing two equal values in different ways is similar in math when it comes to equivalent fractions. This complete guide to equivalent fractions will provide a step-by-step tutorial on how to understand equivalent fractions and how to find them.

How do you work out equivalent fractions

To find the equivalent fraction, we multiply the numerator and denominator by the same number and the new fraction will be equivalent to the first fraction. You can also use division to find equivalent fractions. What about this fraction? Can you work it out? We have divided the denominator 10 by 2, to get 5, so we also need to divide the numerator 6 by 2, to get 3. Each time we multiply or divide the denominator and the numerator by the same number to work out the equivalent fraction. Sign up to our newsletter. External Link Sign up to our newsletter. Find out how Bitesize can support students' learning and more in our free newsletter for teachers.

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Charts and tables are often used to represent concepts in a better way since they serve as a handy reference for calculations and are easier to understand. The resulting fraction must have whole numbers in both the numerator and denominator to be valid. Addition and subtraction don't allow this possibility. Therefore, is an equivalent fraction to. Oh boy, this thing is messing up. Co-authored by:. And if you look at this, what we're doing here isn't magic. By calculating this number, you can begin putting the fractions in the same terms to determine equivalency. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake. Take the two equivalent fractions and multiply across the equals sign in an "X" shape. Another way, if we actually had-- let's do another one. We ate half of the pie. We multiply the denominator by 2. Sorry for that. Comment Button navigates to signup page.

Fractions are equivalent if they are of equal value. Equivalent fractions close equivalent fraction A fraction with the same value as another. The numerator is the number of parts used.

Posted 7 years ago. In this example, multiply 4 by 7 to get 28, then add 1 to get a numerator of Since every fraction is actually a division problem to begin with, this is the simplest way to determine equivalency. If you are looking for a specific numerator or denominator that is not shown here then try the Fractions Solve for Unknown X Calculator to find an equivalent fraction. Multiply both the numerator and denominator of a fraction by the same whole number. Cookies make wikiHow better. They're two fractions that although they use different numbers, they actually represent the same thing. Find equivalent fractions. This is surely related to other English words such as fracture, fractured etc. A fraction is said to be improper when its numerator is greater than its denominator. By now you have probably found out already, but here you go.