# EdPlace's Year 5 and 6 home learning maths lesson: Dividing Fractions

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**Get them started on the lesson below **and then jump **into our teacher-created activities** to practice what they've learnt. We've recommended five to ensure they feel secure in their knowledge - 5-a-day helps keeps the learning loss at bay (or so we think!).

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**Now...onto the lesson!**

**Upper Key Stage 2 Statutory Requirements for Maths**

*Year 6*

*students should be taught to divide proper fractions by whole numbers.*

## Learning Objectives:

We're confident that if you follow this step-by-step approach together, your child will be able to:

1) **Understand **how to divide any fraction by a whole number.

2) **Apply** this to independent work.

3) **Explain** to you how they completed their work, if they've really cracked it!

## How on earth do we divide fractions?!

What is ^{1}/_{6} ÷ 3?

If we remember the good old acronym ‘KFC’, it becomes quite straightforward!

This article will teach you how to divide fractions by a whole number.

## Step 1 - Key Terminology

**Divide** – share something equally.

**Simplify** – reduce a fraction to its simplest form, by dividing the numerator (number on top) and the denominator (number on the bottom) by the highest common factor (the largest number than can go into both the numerator and the denominator).

## Step 2 - Prior Understanding

Your child will need to be able to **simplify fractions**, by finding the **highest common factor** and dividing the **numerator and denominator** by this **factor**.

Example: 5/35 the **highest common factor** is 5 (both numbers can be divided by 5)

1/7 is 5/35 in its simplest form.

Your child also needs to understand that any whole number can be written as a **fraction** over 1, e.g. 5 is the same as 5/1 or 12 is the same as 12/1.

They need to know how to multiply fractions – you just multiply the numerators together, and multiply the **denominators** together, so 2/9 x 3/5 = 6/45.

## Step 3 - Introducing a New Skill

The main thing you need to remember is KFC: Keep, Flip, Change

Keep the first fraction the same

Flip the second fraction round

Change the operation (from ÷ to x)

Examples:

1. 1/4 ÷ 2 = 1/4 ÷ 2/1 = 1/4 x 1/2 = 1/8

**K – keep first fraction the same ( ¼ )**

**F – flip second fraction (it changes from 2/1 to 1/2)**

**C – change from ÷ to x**

1. 3/4 ÷ 6 = 3/4 ÷ 6/1 = 3/4 x 1/6 = 3/24, 3 and 24 can both be divided by 3 so the answer is 1/8.

You might also notice that a faster way would be to ignore the numerator (keep it the same) and multiply the denominator by the whole number:

1. 2/7 ÷ 2 = 2/14 Don’t forget to **simplify** it! = 1/7.

Keep the **numerator** the same (2), then do 7 x 2 (**denominator** x whole number)

## Step 4 - Putting it into Practice

Now have a go at these examples together:

A) 1/6 ÷ 3

B) 1/7 ÷ 5

C) 3/5 ÷ 3

D) 2/9 ÷ 4

Challenge questions: (remember KFC)

E) 3/4 ÷ 1/2

F) 7/9 ÷ 3/4

## Step 5 - Give it a go...

Why not test your child's understanding and see if they can tackle these activities?

All activities are **created by teachers and automatically marked.** Plus, with an EdPlace subscription, we can **automatically progress your child** at a level that's right for them. Sending you progress reports along the way so you can **track and measure progress, together** - brilliant!

Activity 1 – Reducing Fractions

Main activities: (make sure you reduce them to their simplest form)

Activity 2 – Dividing Fractions (1)

Activity 3 – Dividing Fractions (2)

Extension activities: use your division knowledge to convert these fractions into decimals – read the instructions carefully so you know what to do

Activity 4 – Convert Fractions to Decimals Using Division (1)

Activity 5 – Convert Fractions to Decimals Using Division (2)

Answers:

A) 1/18

B) 1/35

C) 3/15 = 1/5

D) 2/36 = 1/18

E) 3/4 x 2/1 = 6/4 = 12/6 = 11/3

F) 7/9 x 4/3 = 28/27 = 11/27

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