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Date:___________________

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MEAP Preparation - Grade 7 Mathematics
1.11 Addition of Three Mixed Numbers

Addition of three mixed numbers with like denominators

Example:
5 4/7 + 2 3/7 + 3 1/7 = ?

Method 1:
Add integer parts: 5 + 2 + 3 = 10
Add fraction parts: 4/7 + 3/7 + 1/7 = 8/7 = 1 1/7
5 4/7 + 2 3/7 + 3 1/7 = 10 + 1 1/7 = 11 1/7

Method 2:
5 4/7 + 2 3/7 + 3 1/7
Convert mixed fractions to improper fractions and then add them.
5 4/7 + 2 3/7 + 3 1/7 = 39/7 + 17/7 + 22/7
= 78/7
= 11 1/7

Addition of three mixed numbers with unlike denominators

Example:
3 1/8 + 2 1/2 + 4 3/5 = ?

Method 1:
Add integer parts: 3 + 2 + 4 = 9
Add fraction parts: 1/8 + 1/2 + 3/5 = 49/40 = 1 9/40
3 1/8 + 2 1/2 + 4 3/5 = 9 + 1 9/40 = 10 9/40

Method 2:
Convert mixed fractions to improper fractions and then add them.
3 1/8 + 2 1/2 + 4 3/5 = 25/8 + 5/2 + 23/5 = 818/80
= 10 9/40


Directions: Solve the following problems. Also write at least 5 examples of your own for each case shown above.

Name: ___________________

Date:___________________

MEAP Preparation - Grade 7 Mathematics
1.11 Addition of Three Mixed Numbers

Q 1: 3 1/12 + 4 3/12 =
7 1/3
7 1/7
7 1/6

Q 2: 2 1/5 + 3 1/2 + 2 1/3 =
8 1/15
8 1/10
8 1/30

Q 3: 18 20/10 + 1 1/10 + 2 14/10 =
24 1/4
24 1/2
22 1/2

Q 4: 3 1/5 + 2 1/5 =
4 1/5
5 2/5
5 1/5

Q 5: 3 1/4 + 2 1/7 =
5 12/27
11 5/28
5 11/28

Q 6: 12 4/3 + 11 1/3 + 2 2/3 =
27 1/6
27 1/4
27 1/3

Q 7: 5 1/6 + 2 5/6 =
7
6
8

Q 8: 2 3/8 + 1 1/8 =
3 2/3
3 1/2
3 1/4

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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