**Convert top-heavy fractions to mixed numbers** *KS2 Revision*

## What you need to know

**Things to remember:**

- Complete the division and find the whole number answer with a remainder
- Use this to write down the mixed number

Let’s look at what a top-heavy fraction is:

\frac{20}{6}

This fraction is saying that we are cutting something into sixths, and we want 20 of them. As a picture, our fraction would look like this

Drawing it likes this tells us that we have 3 wholes and \dfrac{2}{6}, or 3\dfrac{2}{6} as a mixed number.

But how can we do convert it in a more ‘mathy’ way? Well, what is a fraction? What does it mean? Remember, a fraction is just a division question.

\frac{20}{6}=20\div6

Let’s do this division and see what we get.

\frac{20}{6}=20\div6=3\text{ remainder }2

So, doing this division gives us 3 whole pieces and 2 left over that still need to be divided by 6.

3\text{ remainder }2=3+2\div6

But, we can write the division as a fraction.

3+2\div6=3+\frac{2}{6}=3\frac{2}{6}

Like we had before! So, we did this in 3 steps.

Write \dfrac{49}{9} as a mixed number.

**Step 1:** Do the division to find the whole number and the remainder.

\dfrac{49}{9}=49\div9=5\text{ remainder }4

Whole = 5

Remained = 4

**Step 2:** Put the remainder over the fraction.

\frac{4}{9}

**Step 3:** Put the whole number from **Step 1** and the fraction from **Step 2** together.

\frac{49}{9}=5\frac{4}{9}

## Example Questions

**Question 1:** Write \dfrac{25}{4} as a mixed number.

**Step 1:** Do the division to find the whole number and the remainder.

\frac{25}{4}=25\div4=6\text{ remainder }1

Whole = 6

Remained = 1

**Step 2:** Put the remainder over the fraction.

\frac{1}{4}

**Step 3:** Put the whole number from **Step 1** and the fraction from **Step 2** together.

\frac{25}{4}=6\frac{1}{4}

**Question 2:** Write \dfrac{113}{12} as a mixed number.

**Step 1:** Do the division to find the whole number and the remainder.

\frac{113}{12}=113\div12=9\text{ remainder }5

Whole = 9

Remained = 5

**Step 2:** Put the remainder over the fraction.

\frac{5}{12}

**Step 3:** Put the whole number from **Step 1** and the fraction from **Step 2** together.

\frac{113}{12}=9\frac{5}{12}