**Equivalent fractions from decimals** *KS2 Revision*

## What you need to know

**Things to remember:**

- Think about the place value of each digit and how many hundredths it is worth.
- Write how many hundredths you have as a fraction over 100.

What is 0.32 as a fraction?

Let’s consider the place values:

Tenths\rightarrow 3

Hundredths\rightarrow 2

We need to remember that each tenth is made up of 10 hundredths, so 3 tenths is worth 3\times10=30 hundredths. Then we add how many hundredths there are, 30+2=32 hundredths. And now we just put this as a fraction over 100.

0.32=\frac{32}{100}

So, we can do this in 3 steps:

What is 0.67 as a fraction?

**Step 1: **Multiply the tenths by 10.

6\times10=60

**Step 2:** Add the hundredths to the number in **Step 1**.

60+7=67

**Step 3:** Write the number in **Step 2** as a fraction over 100.

0.67=\frac{67}{100}

## Example Questions

**Question 1:** What is 0.23 as a fraction?

**Step 1: **Multiply the tenths by 10.

2\times10=20

**Step 2:** Add the hundredths to the number in **Step 1**.

20+3=23

**Step 3:** Write the number in **Step 2** as a fraction over 100.

0.23=\frac{23}{100}

**Question 2:** What is 0.99 as a fraction?

**Step 1: **Multiply the tenths by 10.

9\times10=90

**Step 2:** Add the hundredths to the number in **Step 1**.

90+9=99

**Step 3:** Write the number in **Step 2** as a fraction over 100.

0.99=\frac{99}{100}