Adding Fractions Worksheet
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1Adding Fractions
Adding fractions is easy as long as the bottom number (the denominator) in the fractions being added is
the same. You should always show your answer in the simplest form by simplifying the fraction.
2
5
7
1
1
2
1
1
2
1
3
4
Examples
+
=
+
=
+
=
+
=
7
7
7
3
3
3
4
4
4
8
8
8
= 1
1
1
=
=
2
2
Now try these questions by filling in the blanks
3
2
_
2
1
_
3
1
_
+
=
+
=
+
=
5
5
_
6
6
_
10
10
_
= _
_
_
=
=
_
_
When adding fractions that have different denominators there is an extra step you have to carry out
before you can complete the addition. This extra step involves making the denominators the same.
2
1
In this addition the two bottom numbers (denominators) are different, we could change the
+
3 to 6 by multiplying by 2 but remember what you do to the bottom number you must do
3
6
to the top number to keep the fractions equivalent.
2 ×2
4
2
1
4
1
=
so
+
=
+
3
6
6
6
3 ×2
6
5
=
6
1
3
In this addition you will have to change both denominators, the easiest way to do this is
+
cross multiplication.
5
4
Multiply the first fraction by the second fractions denominator and multiply the second
fraction by the first fractions denominator.
1 × 4
3 × 5
1
3
+
=
+
5 × 4
4 × 5
5
4
4
15
=
+
20
20
19
=
20
1 × _
3 ×2
1
3
Try this question by filling in the blanks
+
=
+
2 × 7
7 × _
2
7
_
6
=
+
14
_
_
=
_
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