Solved Examples and Worksheet for Adding Mixed Numbers-Like Denominators

Q1Find the sum of 3310, 4310, and 5310.

A. 12910
B. 13110
C. 1245
D. 13

Solutions
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Step: 1
3310 + 4310 + 5310
  [Original fractions.]
Step: 2
= 12910
  [Add the whole numbers and add the fractions.]
Correct Answer is :    12910
Q2Find the sum of 513 and 323.

A. 10
B. 9
C. 1113
D. 1013

Solutions
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Step: 1
513 + 323
  [Original fractions.]
Step: 2
= 833
  [Add the whole numbers. Add the fractions.]
Step: 3
= 8 + 1
  [Write the fraction 33 as 1 and add this to the whole number.]
Step: 4
= 9
Correct Answer is :   9
Q3Simplify:
11011 + 2611

A. 4511
B. 4611
C. 3511
D. 459

Solutions
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Step: 1
11011 + 2611
  [Original expression.]
Step: 2
= 1 + 2 + 1011 + 611
  [Add the fractional part and the whole number part separately.]
Step: 3
= 3 + 10+611
  [Add the like terms.]
Step: 4
= 3 + 1611
  [Simplify.]
Step: 5
= 3 + 1511
  [Convert the improper fraction 1611 to a mixed number 1511.]
Step: 6
= 3 + 1 + 511
  [Separate whole number and fractional part.]
Step: 7
= 4 + 511
  [Add the whole numbers.]
Step: 8
= 4511
  [Write the sum as a mixed number.]
Step: 9
So, 11011 + 2611 = 4511.
Correct Answer is :   4511
Q4Find the sum of 219 and 449.

A. 449
B. 649
C. 619
D. 659

Solutions
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Step: 1
219 + 449
  [Original mixed numbers.]
Step: 2
= 659
  [Add the whole numbers. Add the fractions.]
Correct Answer is :   659
Q5Find the sum of the mixed numbers 213, 423, and 323.

A. 1123
B. 1125
C. 1025
D. 1023

Solutions
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Step: 1
213 + 423 + 323
  [Original mixed numbers.]
Step: 2
= 953
  [Add the whole numbers. Add the fractions.]
Step: 3
= 9 + 123
Step: 4
= 1023
Correct Answer is :   1023
Q6What is the sum of 22024 and 5424?

A. 18
B. 24
C. 124
D. 8

Solutions
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Step: 1
22024 + 5424
  [Original mixed numbers.]
Step: 2
= 72424
  [Add the whole numbers. Add the fractions.]
Step: 3
= 7 + 1
  [Write the fraction 2424as 1.]
Step: 4
= 8
  [Add the whole numbers.]
Correct Answer is :   8
Q7   315
+ 225
_____
A. 525
B. 535
C. 635
D. 625

Solutions
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Step: 1
   315
+ 225
_____
   535
_____
  





[Add the whole numbers. Add the fractions.]
Correct Answer is :   535
Q8What is the sum of 22024 and 3424?

A. 6
B. 24
C. 16

Solutions
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Step: 1
22024 + 3424
  [Original mixed numbers.]
Step: 2
= 52424
  [Add the whole numbers. Add the fractions.]
Step: 3
= 5 + 1
  [Write the fraction 2424as 1.]
Step: 4
= 6
  [Add the whole numbers.]
Correct Answer is :   6
Q9Find the sum of 319 and 349.

A. 659
B. 559
C. 549
D. 649

Solutions
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Step: 1
To add two mixed numbers, add the whole numbers first and then add the fractions.
Step: 2
319 + 349 = 3 + 3 + 19 + 49
  [Rewrite the mixed numbers as whole numbers and proper fractions.]
Step: 3
= 6 + 19 + 49
  [Add the whole numbers.]
Step: 4
= 6 + 1 + 49
  [Add the fractions as the denominators are same.]
Step: 5
= 6 + 59
  [Add the numerators.]
Step: 6
= 659
Step: 7
So, 319 and 349 = 659.
Correct Answer is :   659
Q10235 + 145 = ?

A. 335
B. 425
C. 325
D. 435

Solutions
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Step: 1
To add two mixed numbers, add the whole numbers first and then add the fractions.
Step: 2
235 + 145 = 2 + 1 + 35 + 45
  [Rewrite the mixed numbers as whole numbers and proper fractions.]
Step: 3
= 3 + 35 + 45
  [Add the whole numbers.]
Step: 4
= 3 + 3 + 45
  [Add the fractions as the denominators are same.]
Step: 5
= 3 + 75
  [Add the numerators.]
Step: 6
= 3 + 55 + 25
Step: 7
= 3 + 1 + 25
Step: 8
= 425
Step: 9
So, 235 + 145 = 425 .
Correct Answer is :   425

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