# Convert Between Decimals and Both Mixed and Improper Fractions

In this worksheet, students will convert between simple fractions and decimals, The fractions might be mixed or improper.

Key stage:  KS 2

Curriculum topic:   Number: Fractions and Decimals

Curriculum subtopic:   Recognise Decimal Equivalents

Difficulty level:

#### Worksheet Overview

We can use this number line to convert fractions into decimals.

From the number line, we know that

¾ = 0.75

This also means that.....

1¾ = 1.75

2¾ = 2.75

3¾ = 3.75

4¾ = 4.75    etc...

We can see that it is simple to convert between fractions and decimals using tenths.

4.6 means 4 whole numbers and 6 tenths, which we can write as 4 and 6/10

3.5 means 3 whole numbers and 5 tenths, which we can write as 3 and 5/10 or simplify to make 3 and 1/2

2 and 2/10 means 2 whole numbers and 2 tenths, which we can write as 2.2

Sometimes, we might have improper fractions where the top number is larger than the bottom one.

17/10 means 17 tenths. If we divide 17 by 10, we make 1 and 7 tenths, which we can write as 1.7

23/10 can also be divided by 10 to make 2 and 3 tenths, which we write as 2.3

Are you happy with that?

Let's try some questions then!

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