Numeracy Worksheet - Castlebrae Community High School - 2012 Page 27

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FHS Numeracy
Fractions
contents page
Improper Fractions
A top heavy fraction is called an IMPROPER fraction and is
greater than 1. A MIXED NUMBER has a whole number part and
a fraction part.
32
Example 3
Change the improper fraction
to a mixed number.
6
Level 3
32 ÷ 6 = 5 remainder 2
6
= 1 so how many 6’s can we get from 32
6
1
32
2
= 5
= 5
3
6
Always write fractions in their simplest form.
6
5
Example 4
Change the mixed number 3
to an improper fraction
7
Level 3
7
7
7
5
26
5
3 =
+
+
+
=
7
7
7
7
7
7
26
5
3
=
7
3 x 7
+ 5 = 26
7
A Fractions of a Quantity
To find the fraction of a quantity:
divide by the denominator(bottom).
multiply by the numerator(top).
1
Example 5
Find
of £150
5
Level 2
1
of £150
5
If the numerator is 1 then we only:
= 150
÷ by the bottom.
5
= £30
3
Example 6
Find
of 48
4
Level 2
3
of 48
x by the top.
4
= 48 x 3
÷ by the bottom.
4
= 12 x 3
= 36
27
L Watson 2012

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