#### 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

Step: 1
3310 + 4310 + 5310
[Original fractions.]
Step: 2
= 12910
Q2Find the sum of 513 and 323.

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

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

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

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
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
Step: 8
= 4511
[Write the sum as a mixed number.]
Step: 9
So, 11011 + 2611 = 4511.
Q4Find the sum of 219 and 449.

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

Step: 1
219 + 449
[Original mixed numbers.]
Step: 2
= 659
Q5Find the sum of the mixed numbers 213, 423, and 323.

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

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

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

Step: 1
22024 + 5424
[Original mixed numbers.]
Step: 2
= 72424
Step: 3
= 7 + 1
[Write the fraction 2424as 1.]
Step: 4
= 8
Q7   315
+ 225
_____

A. 525
B. 535
C. 635
D. 625

Step: 1
315
+ 225
_____
535
_____

Q8What is the sum of 22024 and 3424?

A. 6
B. 24
C. 16

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

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

Step: 1
Step: 2
319 + 349 = 3 + 3 + 19 + 49
[Rewrite the mixed numbers as whole numbers and proper fractions.]
Step: 3
= 6 + 19 + 49
Step: 4
= 6 + 1 + 49
[Add the fractions as the denominators are same.]
Step: 5
= 6 + 59
Step: 6
= 659
Step: 7
So, 319 and 349 = 659.
Q10235 + 145 = ?

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

Step: 1
Step: 2
235 + 145 = 2 + 1 + 35 + 45
[Rewrite the mixed numbers as whole numbers and proper fractions.]
Step: 3
= 3 + 35 + 45
Step: 4
= 3 + 3 + 45
[Add the fractions as the denominators are same.]
Step: 5
= 3 + 75