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Addition of Mixed Numbers Worksheet

Addition of Mixed Numbers Worksheet
  • Page 1
 1.  
Add.
43 7 + 25 7
a.
61 7
b.
11 7
c.
18 7
d.
71 7


Solution:

43 / 7 + 25 / 7

= 4 + 2 + 3 / 7 + 5 / 7

= 6 + 8 / 7

= 6 + 11 / 7
[8 / 7 = 7 / 7 + 1 / 7 = 1 + 1 / 7 = 11 / 7.]

= 6 + 1 + 1 / 7

= 71 / 7


Correct answer : (4)
 2.  
Add.
34 7 + 25 7
a.
51 7
b.
58 7
c.
62 7
d.
54 7


Solution:

34 / 7 + 25 / 7

= 3 + 2 + 4 / 7 + 5 / 7

= 5 + 4 + 57

= 5 + 9 / 7

= 5 + 12 / 7
[9 / 7 = 7 / 7 + 2 / 7 = 1 + 2 / 7 = 12 / 7.]

= 5 + 1 + 2 / 7

= 62 / 7


Correct answer : (3)
 3.  
Add.
44 5 + 23 5
a.
73 5
b.
58 7
c.
72 5
d.
63 5


Solution:

44 / 5 + 23 / 5

= 4 + 2 + 4 / 5 + 3 / 5

= 6 + 4 + 35

= 6 + 7 / 5

= 6 + 12 / 5
[7 / 5 = 5 / 5 + 2 / 5 = 1 + 2 / 5 = 12 / 5.]

= 6 + 1 + 2 / 5

= 72 / 5


Correct answer : (3)
 4.  
Find the sum of 72 5 and 52 7.
a.
1223 35
b.
1226 35
c.
125 7
d.
1224 35


Answer: (d)


Correct answer : (4)
 5.  
Find the sum of 133 10 and 103 13.
a.
2371 130
b.
237 13
c.
2369 130
d.
2334 65


Answer: (c)


Correct answer : (3)
 6.  
Find the sum of 64 5 and 4.
a.
104 5
b.
4 5
c.
114 5
d.
94 5


Solution:

645 + 4
[Original fractions.]

= 1045
[Add the whole numbers. Add the fractions.]

So, the sum of 64 / 5 and 4 is 104 / 5.


Correct answer : (1)
 7.  
Find the value of 21 3 + 6 7.
a.
31 7
b.
34 21
c.
32 7
d.
35 21


Solution:

21 / 3 + 6 / 7
[Original fractions.]

= 21×7 / 3×7 + 6×3 / 7×3
[Multiply both the numerator and the denominator of 1 / 3 with 7 and 6 / 7 with 3 to make like fractions.]

= 27 / 21 + 18 / 21
[Simplify.]

= 225 / 21
[Add the whole numbers. Add the fractions.]

= 2 + 21+4 / 21

= 2 + 21 / 21+ 4 / 21 = 2 + 1 + 4 / 21

= 34 / 21
[Add whole numbers. Add fractions.]

The sum of the fractions is 34 / 21.


Correct answer : (2)
 8.  
Find the sum of 133 10 and 103 13.
a.
2334 65
b.
2371 130
c.
2369 130
d.
237 13


Solution:

133 / 10 + 103 / 13
[Original fractions.]

= 133×13 / 10×13 + 103×10 / 13×10
[Multiply both the numerator and the denominator of 3 / 10 with 13 and 3 / 13 with 10 to make both the fractions equal.]

= 1339 / 130 + 1030 / 130

= 2369 / 130
[Add the whole numbers. Add the fractions.]


Correct answer : (3)
 9.  
Victor, Charles and Mike ate 24 7, 33 7 and 1 pizzas. How many pizzas did they all eat together?
a.
7
b.
6
c.
8
d.
9


Solution:

= 247 + 337 + 1
The number of pizzas they together ate = sum of the pizzas each one ate
[Substitute.]

= 677
[Add the whole numbers. Add the fractions.]

= 6 + 1
[Write the fraction 7 / 7as whole number 1 and add it to the whole number.]

= 7

So, they ate 7 pizzas.


Correct answer : (1)
 10.  
Find the sum of 23 10, 33 10, and 43 10.
a.
101 10
b.
99 10
c.
94 5
d.
10


Solution:

23 / 10 + 33 / 10 + 43 / 10
[Original fractions.]

= 99 / 10
[Add the whole numbers and add the fractions.]


Correct answer : (2)

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