#### Solved Examples and Worksheet for Sum of the Unit Fractions

Q1Which of the following is the same as 49 ?

A. 49 + 49 + 49 + 49
B. 19 + 19 + 14
C. 19 + 19 + 19 + 19
D. 14 + 14 + 19

Step: 1
Any fraction can be written as sum of unit fraction.
Step: 2
So, 49 = 19 + 19 + 19 + 19
Correct Answer is :   19 + 19 + 19 + 19
Q2Which of the following is the same as 211 ?
A. 111 + 111
B. 12 + 12
C. 211 + 211
D. 111 + 12

Step: 1
Any fraction can be written as sum of unit fraction.
Step: 2
So, 211 = 111 + 111
Correct Answer is :   111 + 111
Q3Joe wanted to buy a book which costs $12 by saving money. He saves$1 daily. which equation shows what part of money he saves in 3 days?
A. 112 + 112 +112 + 112 + 112 = 512
B. 112 + 112 +112 + 112 = 412
C. 13 + 13 + 13 = 33
D. 112 + 112 +112 = 312

Step: 1
He saves $1 daily out of$12 i.e.112 part of money.
Step: 2
The part of money he saves in 3 days = 112 + 112 + 112
Step: 3
So, 112 + 112 + 112 = 312
Correct Answer is :   112 + 112 +112 = 312
Q4Which of the following is the same as 413 ?

A. 113 + 113 + 113
B. 113 + 113 + 113+ 113
C. 113 + 14
D. 14 + 14 + 14 + 14

Step: 1
Any fraction can be written as sum of unit fraction.
Step: 2
So, 413 = 113 + 113 + 113 + 113
Correct Answer is :   113 + 113 + 113+ 113
Q5Which of the following is the same as 210 ?

A. 210 + 210
B. 110 + 110
C. 110 + 12
D. 12 + 12

Step: 1
Any fraction can be written as sum of unit fraction.
Step: 2
So,210 = 110 + 110
Correct Answer is :   110 + 110
Q6Which of the following is the same as 414 ?
A. 114 + 114 + 114
B. 144 + 14
C. 114 + 114 + 114 + 114
D. 114 + 14 + 14

Step: 1
Any fraction can be written as sum of unit fractions.
Step: 2
So, 414 = 114 + 114 + 114 + 114
Correct Answer is :   114 + 114 + 114 + 114
Q7Which of the following is the same as 26 ?

A. 12 + 12
B. 16 + 12
C. 26 + 26
D. 16 + 16

Step: 1
Any fraction can be written as sum of unit fraction.
Step: 2
So, 26 = 16 + 16
Correct Answer is :   16 + 16
Q8Which of the following is the same as 610 ?

A. 610 + 610 + 610
B. 16 + 16 + 16 + 16
C. 110 + 110 + 110 + 110 + 110 + 110
D. 110 + 110

Step: 1
Any fraction can be written as sum of unit fraction.
Step: 2
So, 610 = 110 + 110 + 110 + 110 + 110 + 110
Correct Answer is :   110 + 110 + 110 + 110 + 110 + 110
Q9Dennis needs $16 to buy a birthday gift for his friend. He saves$1 daily. Which equation does show the part of money that he saves in 4 days?

A. 14 + 14 + 14 + 14 = 1
B. 116 + 116 + 116 + 116 = 416
C. 14 + 14 = 24
D. 116 + 116 + 116 = 316

Step: 1
Any fraction can be written as sum of unit fraction.
Step: 2
So, 116 + 116 + 116 + 116 = 416
Correct Answer is :   116 + 116 + 116 + 116 = 416
Q10Which of the following is the same as 418 ?

A. 418+ 418 + 418 + 418
B. 118 + 118 + 118 + 118
C. 118 + 118 + 118
D. 114 + 114

Step: 1
Any fraction can be written as sum of unit fractions.
Step: 2
So, 418 = 118+ 118 + 118 + 118
Correct Answer is :   118 + 118 + 118 + 118