# How to Add Fractions (and Multiply and Divide Fractions)

20th April, 2021

When I teach how to add and subtract fractions, I start with explanations of equivalent fractions and how to simplify them.

Moving on from that, I look at multiplying and dividing fractions – which is easier than adding and subtracting!

Table of Contents

## Equivalent Fractions and Simplifying Fractions

### Equivalent Fractions

If you multiply or divide the numerator and denominator by the same number you have an equivalent fraction.

“*Whatever you do to the top, you do to the bottom*”

### Simplifying Fractions

If you can divide the top and bottom by the same number, you can simplify the fraction.

## How to Multiply Fractions

### Multiply Fractions

### Multiply Fractions – Multiply tops and bottoms

### Multiply Fractions – Simplify Fraction

## How to Divide Fractions

### Divide Fractions – change to a multiply question

To divide fractions, we change it to a multiply question, using “K.F.C.” – Keep, Flip, Change.

- Keep the first fraction
- Flip the numbers on the second fraction
- Change the question to a multiplication

### Divide Fractions – Multiply

### Divide Fractions – Simplify Fraction

## How to Add and Subtract Fractions

### How to Add and Subtract Fractions – when the denominators are the same

The denominators remain the same, simply add or subtract the numerators to find the sum of the fractions.

### How to Add and Subtract Fractions – when the denominators are different

Change to equivalent fractions with common denominators, then add or subtract.

And what’s the best common denominator to use? The one that is the lowest common multiple of the two denominators.

e.g. the lowest common multiple of 3 and 4 is 12. The lowest common multiple of 2 and 5 is 10.

## FREE Resources on How to Simplify Fractions, How to Add / Subtract Fractions, How to Multiply Fractions and How to Divide Fractions

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## About Me

My name is Nicola Bhalerao and I am a private tutor based in Warwick. Since 2013, I have provided one-to-one tuition for children and adults. I specialise in maths tutoring, but cater for different requests, ranging from 11+ to various computing skills, including website training.

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