Add Unlike Fractions

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LESSON 22.5
Name
Add Unlike Fractions
1
Yesterday, Jill walked 4 mile, and Bob walked
far did they walk in all?
1
1
3
mile. How
1
To answer this, you add 4 3.
1
1
The fractions 4 and 3 are unlike fractions because the
denominators are not the same.
To add unlike fractions, you can use the following steps:
Step 1
Step 2
Use fraction bars to
1
1
model 4 3.
Find the like fraction
Write an equation for
bars that are equivalent the sum shown by the
1
1
to 4 3 in length.
like bars.
Step 3
1
1
4
1
3
1
1
1
4
1
4
1
3
1
3
1 1 1 1 1 1 1
12 12 12 12 12 12 12
?
7
1
1
4 3 12
RW118 Reteach
2
2
2. 5 10
4.
2
1
8
4
6.
1
1
3 4
1 1
8. 3 2
10.
1
2
4 6
1 2
12. 6 3
6, or 3
5
10
4
, or 1
2
8
7
12
5
6
7
12
5
6
© Harcourt
Use fraction bars to find the sum.
5
1 1
12
1. 6 4
7
, or 11
1
5
6
3. 6
3 6
7
1 1
10
5. 5 2
1
1
4
1
12
7. 6 4
9
3
3
10
9. 5 10
9
, or 11
3
3
8
8
11. 8 4
LESSON 22.5
Name
Add Unlike Fractions
1
Yesterday, Jill walked 4 mile, and Bob walked
far did they walk in all?
1
1
3
mile. How
1
To answer this, you add 4 3.
1
1
The fractions 4 and 3 are unlike fractions because the
denominators are not the same.
To add unlike fractions, you can use the following steps:
Step 1
Step 2
Use fraction bars to
1
1
model 4 3.
Find the like fraction
Write an equation for
bars that are equivalent the sum shown by the
1
1
to 4 3 in length.
like bars.
Step 3
1
1
4
1
3
1
1
1
4
1
4
1
3
1
3
1 1 1 1 1 1 1
12 12 12 12 12 12 12
?
7
1
1
4 3 12
RW118 Reteach
2
2
2. 5 10
4.
2
1
8
4
6.
1
1
3 4
1 1
8. 3 2
10.
1
2
4 6
1 2
12. 6 3
6, or 3
5
10
4
, or 1
2
8
7
12
5
6
7
12
5
6
© Harcourt
Use fraction bars to find the sum.
5
1 1
12
1. 6 4
7
, or 11
1
5
6
3. 6
3 6
7
1 1
10
5. 5 2
1
1
4
1
12
7. 6 4
9
3
3
10
9. 5 10
9
, or 11
3
3
8
8
11. 8 4
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