Adding Fractions with Unlike Denominators

Intervention
Lesson H42
Name
Adding Fractions with Unlike Denominators
Materials fraction strips
Tamika and Li are painting a mural. Tamika has painted 1
of the mural and
3
Li has painted 1
of it. What part of the mural have they painted in all?
6
by answering 1 to 6.
Find 1 + 1
6
3
and a 1
strip on a one strip.
1. Show a 1
3
6
Since it is difficult to tell what part of the
one strip is covered, change the 1
​to sixths.
3
□
2. 1
= 6
3
3. Put 1
strips on top of the 1
strip.
3
6
1
3
1
6
1
3
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
2
1
6
What is 2
+ 1
? 6
6
4. What is 1 + 1
? ​
6
3
5. What is 3
in simplest form? 6
So, 13 + 16 = 26 + 16 = 36 = 12.
At the right is another way to write the addition.
6. What part of the mural have
Tamika and Li painted in all?
7. Use fraction strips and fill in the missing numbers at the right to find 12 + 25.
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1
1
1
2
5
5
1 1 1 1 1 1 1 1 1
10 10 10 10 10 10 10 10 10
H42 (student p. 1)
1
6
1
6
1=2
3 6
+1
=1
6 6
3 1
=
6 2
1=□
2 10
□
+2
=
5 10
□
□
MDIS 2.0
Intervention
Lesson H42
Name
Adding Fractions with Unlike Denominators
(continued)
Find each sum. Use fraction strips, if you like.
8.
9. 4=4
8 8
□
□
+ 1
=
3
6
+1= 8
4
1
8
1
8
1
8
1
8
1
8
1
8
1
8
1
8
1
4
1=□
2
6
1
4
1
8
1
4
1
8
1
6
1
4
1
2
1
6
1
3
1
6
1
6
1
6
10. 2
+1=
3 6
11. 1
+ 3 =
5 10
12. 3
+2=
8
13. 3 + 2
=
4 8
5
14. 1
+
=
6 12
1=
15. 1
+
8 2
16. 2
+1=
6 3
17. 2 + 1
=
4 8
4
18. 3
+1=
8 2
19. A jar is filled with red, blue, and green marbles. Half of
the marbles are red. One-third of the marbles are blue.
One-sixth of the marbles are green. What fraction of
the marbles are either red or blue?
20. Reasoning Could you change both fractions to a
denominator of 9 to add 1
and 1? Explain.
3
4
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
H42 (student p. 2)
MDIS 2.0