Decimal to Fraction

Place Value• You need to remember the place value of each

digit after the decimal point

Units Tenths Hundredths Thousandths

3.142 means

3 in the units1 in the tenths4 in the hundredths2 in the thousandths

3 1 4 2

Decimal to Fraction

Determine the place value of the right handdigit

Remove the decimal point and divide by this number

1.6 The 6 is in the tenths column so remove the point and divide by 10

1.6 =

5

810

16 31

5

8

5

0.625 The 5 is in the thousandths column so remove the point and divide by 1000

0.625 =

2540

6251000

58

25

40

5

8

3.45

The 5 is in the hundredths column so remove the point and divide by 100

0.45 = 920

45100

9

20

Ignore the 3 as this is already a whole number and only deal with the digits after the decimal point.

So 3.45 =

93

20Just replace the whole number

Now a few to try

Convert to fractions1. 0.552. 0.1253. 2.44. 5.15

55/100 = 11/20

125/1000 = 1/8

24/10= 22/5

515/100 = 53/20

Decimal to FractionDetermine the place value of the right hand digitRemove the decimal point and divide by this number

1.6 The 6 is in the tenths column so remove the point and divide by 10

1.6 =

5

810

16 31

5

8

5