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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.

'Convert Between Decimals and Both Mixed and Improper Fractions' worksheet

Key stage:  KS 2

Year:  Year 4 Maths worksheets

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?

 

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