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
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