# Equivalent fractions definition

What are equivalent fractions?

• Sometimes fractions can be simplified into smaller ones.
• These fractions are said to be equivalent.
• You can multiply the numerator and denominator in the smaller fraction, by the same number, and get the first fraction back.

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.Jul 21, 2022

## How do you determine whether fractions are equivalent?

• Equivalent fractions may look different, but they have the same value.
• You can multiply or divide to find an equivalent fraction.
• Adding or subtracting does not work for finding an equivalent fraction.
• If you multiply or divide by the top of the fraction, you must do the same to the bottom.

More items…

## How to understand equivalent fractions?

• For example: set 10 / 20 = 1 / 2.
• Cross multiply: 2 x 10 = 20 x 1.
• 20 = 20; therefore, the fractions are equivalent.
• Another example: 5 / 10 = 1 / 2.
• Cross multiply: 5 x 2 = 10 x 1.
• 10 = 10; therefore, the fractions are equivalent.

## What are equivalent fraction explain with examples?

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.

## What are some equivalent fractions?

Equivalent Fractions have the same value, even though they may look different. These fractions are really the same: 1 2 = 2 4 = 4 8. … Also see the Chart of Fractions with many examples of equivalent fractions. Dividing. Here are some more equivalent fractions, this time by dividing: ÷ 3 : ÷ 6 : 18 = 6 = 1: 36: 12: 2

## What are Equivalent Fractions?

In math, equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.

## How many equivalent fractions can a child show?

Instead of handing out regular fraction worksheets to your children, ask your child to divide the pizza or pancakes such that he can show three equivalent fractions.

## What are Equivalent Fractions?

Two or more fractions are said to be equivalent if they are equal to the same fraction when simplified. For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.

## How to Determine if Two Fractions are Equivalent?

We need to simplify the given fractions to find whether they are equivalent or not. Simplification to get equivalent numbers can be done to a point where both the numerator and denominator should still be whole numbers. There are various methods to identify if the given fractions are equivalent. Some of them are:

## How to write 6/8 as an equivalent fraction?

In order to write the equivalent fraction for 6/8, let us multiply the numerator and denominator by 2 and we will get (6 × 2)/ (8 × 2) = 12/16. Therefore, 6/8 and 12/16 are equivalent fractions. Now, let us get another equivalent fraction for 6/8, by dividing it by a common number, say, 2. After dividing the numerator and denominator by 2 and we will get (6 ÷ 2)/ (8 ÷ 2) = 3/4. Therefore, 6/8 and 3/4 are equivalent fractions.

## How to multiply the numerator and the denominator?

Multiply the numerator and the denominator by the same number.

## Is a decimal the same as a fraction?

The decimal values of both the fractions are the same and hence, they are equivalent.

## Do equivalent fractions get reduced to the same fraction?

All equivalent fractions get reduced to the same fraction in their simplest form as seen in the above example. 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.

## Why are fractions the same?

Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it’s value.

## Can you multiply to get an equivalent fraction?

You only multiply or divide, never add or subtract, to get an equivalent fraction.