 Equivalent fractions from decimals | Year 5 Maths Resources

## 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

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.

$$0.23=\frac{23}{100}$$

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.

$$0.99=\frac{99}{100}$$

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