Decimal fractions
fractions
A decimal fraction is a fraction described as a decimal number. A place value
chart is used to demonstrate them.
Whole numbers
tens
Fractions
ones
tenths
hundredths
0
3
4
decimal point
A number that has two decimal places has two numbers after the decimal point,
eg 0.34 has two decimal places.
It can be read as:
• zero point three four
• 34 hundredths
• three tenths and four hundredths
Common fractions
(as hundredths)
Decimal fraction
Percentage
1
––
4
25
–––
100
0.25
25%
1
––
2
50
–––
100
0.5
50%
3
––
4
75
–––
100
0.75
75%
2
––
5
40
–––
100
0.4
40%
3
––
10
30
–––
100
0.3
30%
12
–––
100
12
–––
100
0.12
12%
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Using decimal fractions
Decimal fractions are used in many areas of mathematics,
especially measurement.
1 dollar = 100 cents
so
$1.48 = 1 dollar and 48 cents
1 metre = 100 centimetres
so
1.25 metres = 1 metre and 25 centimetres
1 metre = 1000 millimetres
so
1.25 metres = 1 metre and 250 millimetres
1 kilogram = 1000 grams
so
2.5 kilograms = 2 kilograms and 500 grams
1 litre = 1000 millilitres
so
4.368 litres = 4 litres and 368 millilitres
1 hour = 60 minutes
so
1.5 hours = 1 hour and 30 minutes
For more homework help, tips and info sheets go to www.schoolatoz.com.au
© Owned by State of NSW through the Department of Education and Communities 2011. This work may be freely reproduced and distributed
for non-commercial educational purposes only. Permission must be received from the department for all other uses.
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