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# Fractions & Decimals

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# Equivalent Fractions

As you can see from the number line, many fractions can have the same value. Different fractions with the same value are called equivalent fractions.

Since and share a spot on the number line, they are equivalent, or equal to the same value.

## Find equivalent fractions by **multiplying the numerator and denominator by the same number**

**The following fractions are all equivalent to :**

You could continue this pattern and find an infinite number of equivalent fractions. (However, that doesn't sound like much fun, so let’s stop here.)

## It's often helpful to convert fractions to a particular denominator

- Find the number you need to multiply with the original denominator to get the new denominator
- Then multiply the numerator by that same number

For example, let's think about the number 1. Any whole number can be written as a fraction with a denominator of 1, so the number 1 can also be written as . If we multiply both the numerator and denominator by a common number, we can find boatloads of equivalent fractions.