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# Dividing fractions
- URL: https://www.esheets.io/dividing-fractions/
- Published: 2025-01-18T21:04:17.000Z
- Updated: 2026-06-21T17:56:58.000Z
- Author: Richard Linnington
- Tags: Maths, Number

Dividing fractions might seem tricky at first, but it’s a skill you’ll use in real life more often than you think—like when splitting a recipe into smaller portions or figuring out how to divide tasks fairly. Once you master flipping and multiplying, you’ll see how simple it really is! [Jump the questions](#practise-now)

## Practise now

Worksheet preview and key skills 

### Worksheet preview

Practise dividing 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

- Changing the division to multiplication by the reciprocal.
- Flipping the second fraction.
- Multiplying numerators and denominators.
- Simplifying the final answer where possible.

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

Rewrite the division as multiplication, multiply, and simplify your answer. Leave your final answer as a proper or improper fraction in its simplest form.

## Topic guide

### What this worksheet practises

This worksheet provides practice on dividing fractions. Division of fractions is rarely done directly. Instead, we use a simple rule to turn the difficult division problem into an easy multiplication problem.

### Key method

The standard method for dividing fractions is often remembered by the acronym **KFC** (Keep, Flip, Change).

- **Keep** the first fraction exactly as it is.
- **Change** the division sign (÷) into a multiplication sign (×).
- **Flip** the second fraction upside down (this is called finding its reciprocal).
- Multiply the two top numbers (numerators) together.
- Multiply the two bottom numbers (denominators) together.
- Simplify the final fraction if possible.

### Worked example

**Calculate 2/3 ÷ 4/5\. Give your answer in its simplest form.**

Step 1: Apply the KFC rule.

**Keep** 2/3.

**Change** ÷ to ×.

**Flip** 4/5 to 5/4.

The calculation becomes: 2/3 × 5/4.

Step 2: Multiply the numerators.

2 × 5 = 10.

Step 3: Multiply the denominators.

3 × 4 = 12.

The fraction is 10/12.

Step 4: Simplify. Both numbers are even, so halve them.

The final answer is 5/6.

### Common mistakes to avoid

The most common mistake is flipping the *first* fraction instead of the second one. Another frequent error is forgetting to change the division sign to multiplication, causing confusion. Always strictly follow the Keep-Change-Flip order.

### Things to remember

If you are dividing by a whole number, remember that you can write any whole number as a fraction over 1\. For example, dividing by 3 is the same as dividing by 3/1\. When you flip this, it becomes a multiplication by 1/3.