Fractions And Percentages Worksheet Page 21
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28MEP Pupil Text 11
11.7
1
÷
× 2
So
is the same as
.
2
You can generalise these examples to give
1
÷ a
×
is the same as
a
1
÷
× b
is the same as
b
and combining the two results gives
a
b
÷
×
is the same as
.
b
a
For example,
3
4
3
÷
=
×
1
6
6
4
4
3
3
3
2
= 8
4
4
.
3
3
4
(This result can be seen more easily from the diagram opposite.)
3
4
4
3
Similarly,
3
5
4
4
6
2
6
5
÷
=
×
3
6
4
20
5
20
2
3
=
4
So to divide by a fraction, the fraction should be inverted, that is, turned upside down,
and then multiplied.
a
c
a
d
÷
=
×
In general terms,
b
d
b
c
Worked Example 4
3
7
÷
=
?
4
8
Solution
2
3
7
3
8
÷
=
×
4
8
4
7
1
×
3
2
=
×
1
7
6
=
7
254
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