Fractions Worksheet Page 19
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36Reciprocals
3
4
4
3
The reciprocal of
is
and the reciprocal of
is
6
4
3
3
4
Remember that 6 5
1
1
1
The reciprocal of 6 is
, and the reciprocal of
is 6.
6
6
To find the reciprocal of a fraction, you invert it (turn it
upside down).
When you multiply a number by its reciprocal, you always
Note: 0 has no reciprocal.
get 1.
15
EXAMPLE
5
2
Find the reciprocal of (a)
(b) 2
.
Change all mixed numbers into
7
3
improper fractions before you find
7
the reciprocal.
(a)
5
5
7
35
Check:
5 1
3
5
7
5
35
6
2
8
(b) 2 3 3 5 6
1
5
3
3
3
8
3
Reciprocal of
is
3
8
8
3
24
Check:
5 1
3
5
3
8
24
3
EXERCISE
j
1 Invert these fractions.
(a)
2
(b)
4
(c) 1
2
(d) 2
5
3
5
7
9
2 Find the reciprocals of these fractions.
(a)
3
(b)
9
(d) 9
(d) 3
4
7
2
5
(f) 2
5
(g)
17
(h) 18
(i) 10
3
8
3
7
dividing fractions
1
To divide two fractions
4 4
means how many halves in 4?
2
Answer: 8
1 invert (turn upside down) the fraction you are
1
4
2
4 4
5 8
5
3
dividing by
2
1
1
2 change the division sign to a multiplication sign.
You turn the second fraction upside
down. This is the fraction you are
dividing by.
So
1
2
1
5
5
4
5
3
5
3
5
3
2
6
78 Number
M03_CMC_SB_IGCSE_6850_U03.indd 78
9/6/09 16:45:15
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