How do you work out equivalent fractions

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.

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.

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 with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same. It means half of something. They represent the same part of the whole. Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction. Last updated: October 17,

By using more than one digit, we see that these two fractions are not equivalent.

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. Find a fraction with a denominator of 21 that is equivalent to.

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.

How do you work out equivalent fractions

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.

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To find the equivalent fractions for any given fraction, divide the numerator and the denominator by the same number. Sort by: Top Voted. Cookies make wikiHow better. Knowing how to convert a fraction into an equivalent one is an essential math skill that's necessary for everything from basic algebra to advanced calculus. Thank you for your feedback. Thanks Helpful 3 Not Helpful 7. Anchor charts and tables, like the one given below, make it easier for the students to understand equivalent fractions. Then we actually ate the same amount of pie. Solution: Let us check the equivalence of the given fractions by the cross multiplication method. Since 3 multiplied by 7 gives us 21, we can find an equivalent fraction by multiplying both the numerator and denominator by 3. Download Article Learn how to find equivalent fractions in different mathematical contexts. Well, we still ended up eating the same amount of the pie. Equivalent Fractions Equivalent fractions are fractions that represent the same value, even though they look different. These are equivalent fractions.

Fractions are equivalent if they are of equal value.

In other words, it can be seen that the shaded parts in both the figures represent the same portion if seen as a whole. More reader stories Hide reader stories. More References 6. If you cut a cake into eight equal pieces and eat four of them, you will still have eaten half the cake. Some values may equal 0. Privacy Policy. Many problems regarding fractions involve determining if two fractions are equivalent. Method 3. Maths Puzzles. Thanks Helpful 3 Not Helpful 3. So equivalent fractions are, essentially what they sound like. Virtual Help Chat with library staff now Contact your library. This is the reason why these fractions get reduced to the same number when they are simplified. Let's say-- and that pie is quite ugly, but let's assume it's the same type of pie.