Adding Fractions With Unlike Denominators Worksheet
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1Name
Reteaching
11-2
Adding Fractions with Unlike
Denominators
When you add fractions with unlike denominators, you need
to change the fractions to equivalent fractions so they have a
common denominator.
_
_
1
2
Example 1 Hassan used
of a bag of black potting soil and
of
4
3
a bag of soil with clay in his container garden. How much soil did
_
_
1
2
he use altogether? Find
.
4
3
Step 1 Rewrite the fractions using a
Step 2 Add the new fractions.
common denominator. Think: What
Write the sum in simplest form.
number has 4 and 3 as factors? 12
_
__
__
1
3
11
is already in
12
4
12
simplest form.
3
4
_
__
2
8
+
3
12
1
3
2
8
__
11
4
1
2
3
1
2
12
3
4
__
11
Hassan used
of a bag of soil altogether.
12
Example 2 When one denominator is a factor of the other
denominator, you have to rewrite only one of the fractions.
_
_
2
2
Find
.
3
9
Step 1 3 is a factor of 9, so rewrite
Step 2 Add the new fractions.
_
2
with a denominator of 9.
_
_
_
2
6
8
is already in
3
3
9
9
3
simplest form.
_
_
2
2
+
9
9
2
6
_
3
9
8
3
9
Write the answers in simplest form.
_
__
_
_
_
_
__
_
_
_
3
1
1
1
1
2
7
1
1
2
1.
2.
3.
4.
5.
5
10
2
8
6
3
12
3
3
9
__________
__________
__________
__________
__________
_
_
_
_
_
_
_
_
_
__
3
3
1
1
1
2
1
1
2
1
6.
7.
8.
9.
10.
8
4
4
6
5
2
3
5
2
10
__________
___________ ___________ ___________
___________
22
Topic 11
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