- Topics At a Glance
- Fractions
**Equivalent Fractions**- Reducing Fractions
- Adding & Subtracting Fractions
- Converting Between Mixed Numbers & Improper Fractions
- Adding & Subtracting Mixed Numbers
- Multiplying Fractions & Mixed Numbers
- Dividing Fractions
- Fractions Word Problems
- Decimals
- Place Value & Naming Decimals
- Visualizing Decimals
- Adding & Subtracting Decimals
- Multiplying Decimals
- Dividing Decimals
- Decimals Word Problems

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.

**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.)

- 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.

Equivalent Fractions Example 1

Write as a fraction with a denominator of . |

Equivalent Fractions Example 2

Write as a fraction with denominator of . |

Equivalent Fractions Example 3

Equivalent Fractions Exercise 1

Write as a fraction with a denominator of .

Equivalent Fractions Exercise 2

Write as a fraction with a denominator of .

Equivalent Fractions Exercise 3

Equivalent Fractions Exercise 4

Use the number line to find fractions equivalent to

Equivalent Fractions Exercise 5

Use the number line to find fractions equivalent to