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Practise Converting Mixed Fractions to Decimals Including Hundredths

In this worksheet, students will convert simple mixed numbers into decimals including hundredths.

'Practise Converting  Mixed Fractions to Decimals Including Hundredths' 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 is 0 ones, 7 tenths and 5 hundredths.

 

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

 

We can also use hundredths to convert between fractions and decimals.

6.43 means 6 whole numbers, 4 tenths and 3 hundredths. It can also means 6 whole numbers and 43 hundredths. 

So we can write 6.43 as 6 and 43/100

 

5 and 27/100 means 5 whole numbers and 27 hundredths, which can be written as 5.27

 

Are you happy with that?

 

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