Fractions And Percentages Worksheet Page 20

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MEP Pupil Text 11
Worked Example 2
3
7
×
=
?
5
12
Solution
1
×
3
7
1
7
×
=
×
5
12
5
4
4
7
=
20
Worked Example 3
1
4
×
=
1
3
?
2
5
Solution
1
4
3
19
×
=
×
1
3
2
5
2
5
57
=
10
7
= 5
10
Division
To understand how to divide with fractions, first consider how multiplication and division
are related.
Take as an example,
×
=
3
4
12
.
Then it is also true that
÷
=
12
4
3
.
× 4
÷ 4
So '
' and '
' are inverse operations.
Note that
1
×
=
12
3
,
4
1
÷ 4
×
so
is the same as
.
4
1
÷
× 2
Similarly, because
is the same as
,
2
1
1
÷
=
×
=
6
12
(check:
12
6
)
2
2
×
=
and, alternatively,
6
2
12
.
253

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