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Fraction decimal switch

Decimals and fractions are just different ways of showing the same value. A half can be written as a fraction ½ or as a decimal 0.5.

Fractions where the denominator (the bottom number) is a power of ten can easily be shown as decimals.

7/10 written as a decimal is 0.734/100 written as a decimal is 0.34

Take a look at the following fractions and decimals and try to match them to their equivalents.

Move on

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0.03 3.00.3

310

0.3Move

on

Which decimal is the same as 3/10? Click on the equivalent decimal.

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Sorry you’re wrong

Try againHINT:

1/10 is 0.1 as a decimal, 1/100 is 0.01 as a decimal and 1/1000 is 0.001

Try again

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0.75 0.0757.5

75100

0.75Move

on

Which decimal is the same as 75/100? Click on the equivalent decimal.

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Sorry you’re wrong

Try againHINT:

1/10 is 0.1 as a decimal, 1/100 is 0.01 as a decimal and 1/1000 is 0.001

Try again

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9/10 9/1001/9

0.09

9/100Move

on

Which fraction is the same as 0.09? Click on the fraction.

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Sorry you’re wrong

Try againHINT:

1/10 is 0.1 as a decimal, 1/100 is 0.01 as a decimal and 1/1000 is 0.001

Try again

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45/100 1/4545/1000

0.045

45/1000Move

on

Which fraction is the same as 0.045? Click on the fraction.

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Sorry you’re wrong

Try againHINT:

1/10 is 0.1 as a decimal, 1/100 is 0.01 as a decimal and 1/1000 is 0.001

Try again

© www.teachitprimary.co.uk 2014 22858 10

Fraction decimal switch – getting trickier!

Remember when changing decimals to

fractions0.4 is the same as 4/10BUTYou may need to show the fraction in its simplest form, so find a number that divides into the numerator and the denominator.2 divides into 4 twice and into 10 five times so4/10 becomes 2/5!

or when changing fractions to decimalswhen the denominator is not a power of ten.Take 4/5 for example. You need to ‘change’ the denominator to a power of ten. 5 times by 2 gives 10 but now you need to do the same to the numerator so 4 times 2 gives 8. 4/5 is the same as 8/10 which is 0.8 as a decimal, phew!!! Move

on

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0.13 0.50.26

13/50

0.26Move

on

Which decimal is the same as 13/50? Click on the decimal.

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Sorry you’re wrong

Try againHINT:

1/10 is 0.1 as a decimal, 1/100 is 0.01 as a decimal and 1/1000 is 0.001

Try again

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1/25 1/41/5

0.25 1/4Move

on

Which fraction is the same as 0.25? Click on the fraction.

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Sorry you’re wrong

Try againHINT:

1/10 is 0.1 as a decimal, 1/100 is 0.01 as a decimal and 1/1000 is 0.001

Try again

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0.4 0.040.8

8/20 0.4Move

on

Which decimal is the same as 8/20? Click on the decimal.

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Sorry you’re wrong

Try againHINT:

1/10 is 0.1 as a decimal, 1/100 is 0.01 as a decimal and 1/1000 is 0.001

Try again

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1/85 17/2017/50

0.85 17/20Move

on

Which fraction is the same as 0.85? Click on the fraction.

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Sorry you’re wrong

Try againHINT:

1/10 is 0.1 as a decimal, 1/100 is 0.01 as a decimal and 1/1000 is 0.001

Try again

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=

0.5 0.30.15

15/30

0.5Move

on

Which decimal is the same as 15/30? Click on the decimal.

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Sorry you’re wrong

Try againHINT:

1/10 is 0.1 as a decimal, 1/100 is 0.01 as a decimal and 1/1000 is 0.001

Try again

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Now have a go on your own and see if you are a bronze, silver or gold

fraction decimal switcher!