Name
Reteaching
7-5
Adding Mixed Numbers
You can add to find the total weight of these two packages of cheese.
1
2
5
7
lb
2 10 lb
Write the fractions so they both have
the same denominator. Add the whole
numbers. Add the fractions.
1_25 Write the improper fraction as a mixed
number. Add the whole numbers. Write
the fraction in simplest form.
4
1__
10
7 2__
7
2__
10
10
11
3__
10
1 4__
1.
3 1__
10
10
Find each sum. Simplify your answer.
1.
5_23 5_46
2.
3_16 3_16
8_56
6 7 14__
3. 8__
11
11
5. 3_58 12_16 7_45 6_14 2
23__
11
__
15 19
24
4.
6.
16
5
6__
7__
20
20
1
14__
20
16_18
6_14 9_78 _
5
14 13_57 27 7
7 inches of snow fell during the day. Another 5_
1 inches of snow fell
7. On Monday, 3__
10
2
that night. What was the total snowfall?
9_15 inches
8. Writing to Explain Explain how to rewrite 5_78 14_16 so the fractions have the same
denominator. Find the sum.
Find a common multiple for 8 and 6. One way is
to write multiples until you find one that is the
same for both numbers: Use 24 as the
1
common denominator; 20__
24 .
52
Topic 7
© Pearson Education, Inc. 6
Reteaching 7-5
1 pounds.
The total weight of the cheese is 4__
10
Name
Practice
7-5
Adding Mixed Numbers
Find each sum. Simplify your answer.
8_16
__
9
15 5
2
1_58 1 __
16
16
_
678
2_78 1 4 5
__
19
3 1 2 56
7 1 3_
_
40
5
8
9
12__
10
__
11
712
6_23 1 _54 5
__
1
6 1 1__
9 5 9
7__
20
10
20
_
1
9 1 3_23 1 _56 5 13 2
1. 5 1 3_16 5
1 5
2. 4_45 1 8__
10
3.
4.
5.
7.
6.
8.
9. Number Sense Give an example of two mixed numbers whose
sum is a whole number.
Sample answer: Any two mixed numbers
that include halves as fractional parts, such
5
as 6_12 1 2__
10
Practice 7-5
10. An ostrich egg is 6_45 in. long. A California condor’s
3 in. long, and an albatross egg is 5__
7 in.
egg is 4__
10
10
long. If the three eggs are placed end to end, what
is the total length in inches?
16_45 in.
11. Shanda can travel 10 mi on her electric scooter before she has
to recharge the batteries. If it is 4_58 mi to the library and 5_25 mi to
her friend’s house, can she make both trips before she needs to
recharge the batteries?
1
No; 4_58 1 5_25 5 10__
40 , which is greater than 10.
3?
12. Which is the fractional portion of the solution to 5_38 1 2__
12
6
A __
12
B _58
C _68
© Pearson Education, Inc. 6
15
D __
8
Sample
answer:
Find a common denominator, add the whole
numbers, add the fractions, and simplify if
possible.
13. Writing to Explain Explain the steps to adding mixed numbers.
What must you do first?
Topic 7
53