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# Math: Basic Tutorials : Equivalent Fractions

## Equivalent Fractions

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.

## Equivalent Fractions

Equivalent Fractions Video transcript - RTF

## Example & Activity

### Example

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

To find equivalent fractions, we multiply the numerator and the denominator by the same number, so we need to multiply the denominator of 7 by a number that will give us 21. Since 3 multiplied by 7 gives us 21, we can find an equivalent fraction by multiplying both the numerator and denominator by 3.

Therefore, is an equivalent fraction to .

### Activity

Try this activity to test your skills. If you have trouble, check out the information in the module for help.

## Attribution

Example Source: "Prealgebra - opens in a new window" by Lynn Marecek & Mary Anne Anthony-Smith is licensed under CC BY 4.0 - opens in a new window / A derivative from the original work - opens in a new window