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# Equivalent fractions
- URL: https://www.esheets.io/equivalent-fractions/
- Published: 2025-12-09T09:02:10.000Z
- Updated: 2026-06-21T16:42:03.000Z
- Author: Richard Linnington
- Tags: Maths, Number

Understanding equivalent fractions helps you realise that different-looking fractions can actually represent the same value — like swapping ½ of a chocolate bar with 2 quarters and still getting the same amount! This skill is essential when comparing, simplifying, or adding fractions in real-world contexts like cooking, sharing, and measuring. [Jump to the questions](#practise-now)

## Practise now

Worksheet preview and key skills 

### Worksheet preview

Practise equivalent fractions with this self-marking maths worksheet.

The interactive worksheet below generates questions, gives instant feedback, and lets students record their score.

#### What you’ll practise

- Multiplying or dividing the numerator and denominator by the same number.
- Recognising fractions with the same value.
- Keeping the fraction equivalent.
- Comparing different forms of the same fraction.

Use the interactive worksheet below, or read the [Topic guide](#topic-guide) for the method and worked example.

## Topic guide

### What this worksheet practises

This worksheet provides practice on finding equivalent fractions. Equivalent fractions look different but represent the exact same proportion of a whole. Knowing how to create them is the most important skill needed for adding, subtracting, and comparing fractions.

### Key method

The golden rule of equivalent fractions is whatever you do to the top, you must do to the bottom.

- To make an equivalent fraction with larger numbers, multiply both the numerator (top) and denominator (bottom) by the exact same whole number.
- To make an equivalent fraction with smaller numbers (simplifying), divide both the top and bottom by the exact same whole number.
- You can only use multiplication and division. You cannot use addition or subtraction.

### Worked example

**Find the missing number: 3/7 = ?/35.**

Step 1: Look at the numbers you know. You have both denominators: 7 and 35.

Step 2: Figure out the multiplier. What do you multiply 7 by to get 35?

7 × 5 = 35\. The multiplier is 5.

Step 3: Apply the golden rule. Multiply the top number by the exact same amount.

3 × 5 = 15.

The missing number is 15\. The equivalent fraction is 15/35.

### Common mistakes to avoid

The most common mistake is adding to the top and bottom instead of multiplying. For example, a student might see 1/2 and think that adding 2 to the top and bottom makes it 3/4\. But 1/2 is 50%, while 3/4 is 75%; they are not equivalent. You must always use multiplication or division.

### Things to remember

You can create an infinite number of equivalent fractions for any given fraction. 1/2 is exactly the same as 5/10, 50/100, and 5000/10000\. They all mean "half".