# Equivalent Fractions

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Learning text on the topic
**Equivalent Fractions**

## Equivalent Fractions

**Equivalent fractions** are a fundamental concept in mathematics. They are fractions that, though they might look different, actually **represent the same value**. Understanding equivalent fractions is essential for working with trickier math problems, such as adding and subtracting fractions, where fractions need to have the same denominators. Let’s explore what equivalent fractions are, and how we can find equivalent fractions!

## Understanding Equivalent Fractions

Equivalent fractions are pairs or groups of fractions with different numerators and denominators that **represent the same part of a whole**. For example, $\frac{1}{2}$ and $\frac{2}{4}$ are equivalent fractions.

There are two ways to find equivalent fractions:

One way of finding equivalent fractions, as we see above, is to create

**visual representations**of the fractions and compare them. When you do this, you**must**use the same size bar or circle to ensure your models are accurate. Then, you can compare them together to see if they are equivalent or not.Another way to find equivalent fractions, is to multiply or divide the numerator and denominator of a fraction by the

**same non-zero number**.

For example, if we multiply the numerator and denominator of $\frac{3}{6}$ by three, we get an equivalent fraction of $\frac{9}{18}$.

Remember, the **numerator** is the top number of a fraction, indicating how many parts are taken, and the **denominator** is the bottom number, showing the total number of parts in a whole.

Let’s check your understanding so far with some quick questions!

## Equivalent Fractions – Guided Practice

Let’s practice finding equivalent fractions together using $\frac{3}{5}$. For this example, let’s find an equivalent fraction with a denominator of 15. In this instance, we know we need to multiply the denominator, 5, by 3 to get 15. We would also need to do the same to the numerator.

## Equivalent Fractions – Exercises

## Equivalent Fractions – Summary

Equivalent fractions are different fractions that represent the same value. There are two ways you can find equivalent fractions:

- To find an equivalent fraction, multiply or divide both the numerator and denominator by the same number.
- Create visual models of given fractions and then compare them to see if they are equivalent.

Knowing how to calculate or find equivalent fractions is helpful when adding or subtracting fractions with different denominators.

Explore more about fractions, such as how to **Generate Equivalent Fractions** and other fraction topics through interactive practice problems, engaging videos, and printable worksheets on our educational platform. Enhance your learning journey with these resources!

If you feel like you need extra practice, then review **Equivalent Fractions**. After, come back and have another go at the problems on this page.

## Equivalent Fractions – Frequently Asked Questions

Even and odd numbers

Divisibility Rules - 3, 6, 9

Divisibility Rules - 7

Divisibility Rules - 4, 5, 8, 10

Prime Numbers

Integers and their Opposites

Least Common Multiples

Adding and Subtracting Rational Numbers on a Number Line

Ordering Rational Numbers

Cube Roots

Rational and Irrational Numbers

Ordered Pairs on the Coordinate Plane

Finding the Greatest Common Factor

Adding and Subtracting Decimals

Comparing Fractions

Equivalent Fractions

Simplifying Fractions

Temperature Conversion

Division with Exponents

Multiplication with Exponents

Improper Fractions and Mixed Numbers