Fractions And Percentages Worksheet Page 16
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28MEP Pupil Text 11
11.6 Addition and Subtraction of Fractions
Note
The numerator is the top part of a fraction and the denominator is the bottom part of a
fraction.
When adding or subtracting fractions they must have the same denominator.
Worked Example 1
4
5
+
=
?
7
7
Solution
As both fractions have the same denominator (7), they can simply be added to give
4
5
9
+
=
7
7
7
2
= 1
.
7
Worked Example 2
3
2
+
=
?
4
5
Solution
As these fractions have different denominators, it is necessary to find the lowest common
denominator, that is, the smallest number into which both denominators will divide
exactly. In this case it is 20, since both 4 and 5 divide into 20 exactly.
3
2
15
8
+
=
+
4
5
20
20
+
15
8
=
20
23
=
20
3
= 1
20
Worked Example 3
2
7
+
=
?
3
12
Solution
In this example, 12 is the lowest common denominator.
249
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