Solved Examples and Worksheet for Application of Adding Fractions-Like Denominators

Q1Andy ate 19 of a watermelon and Ed ate 49 of it. What part of the watermelon did they eat together?
A. 19
B. 15
C. 59
D. 149

Solutions
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Step: 1
The part of watermelon that Andy ate is 19.
Step: 2
The part of watermelon that Ed ate is 49.
Step: 3
The part of watermelon they eat = 19 + 49
Step: 4
= 1 + 49 = 59
  [Denominators are equal. So, add the numerators.]
Step: 5
The part of watermelon they ate together is 59.
Correct Answer is :    59
Q2William read 17 of a book on the first day and 47 of it on the second day. How much has William read?
A. 15
B. 112
C. 57
D. 17

Solutions
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Step: 1
The part of the book read by William on the first day = 17
Step: 2
The part of book read by him on the second day = 47
Step: 3
The total part of the book read by him is 17 + 47.
Step: 4
The denominators are same. So, add the numerators.
Step: 5
= 1 + 47 = 57
  [Add.]
Step: 6
William has finished reading 57th part of the book.
Correct Answer is :    57
Q3A tap fills 57of a tank in the first two hours and 17of the tank in the next two hours. What portion of the tank is filled in four hours?

A. 67
B. 17
C. 113
D. 16

Solutions
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Step: 1
The portion of the tank filled by the tap in two hours = 57
Step: 2
The portion of the tank filled in the next two hours = 17
Step: 3
The portion of the tank filled in the four hours = 57 + 17
Step: 4
57 + 17 = 67
  [Add the numerators and keep the denominator same.]
Step: 5
The portion of the tank filled in four hours = 67
Correct Answer is :    67
Q4A person has done 310 of a job in one week. The next week, he is only able to complete 110 of the job. Find the fraction of work he completed in the two weeks.
A. 18
B. 25
C. 16
D. 17

Solutions
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Step: 1
Work done by the person in the first week = 310
Step: 2
Work done by the person in the second week = 110
Step: 3
Total work done by the person in the past two weeks = 310 + 110
Step: 4
3 + 1 = 4
  [Denominators are equal. So, add the numerators.]
Step: 5
310 + 110 = 410
  
Step: 6
410 = 25
  [Divide.]
Step: 7
The work done by the person during the two weeks = 25.
Correct Answer is :    25
Q5Frank spent 37 of his salary in the first two weeks of January and 27 in the next two weeks. What fraction of his salary did he spend in the month of January?

A. 15
B. 57
C. 12
D. 17

Solutions
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Step: 1
Salary spent in the first two weeks = 37
Step: 2
Salary spent in the next two weeks = 27
Step: 3
The total part of salary spent in the month = 37 + 27
Step: 4
= 3 + 27 = 57
  [Denominators are equal. So, add the numerators.]
Step: 5
Frank spent 57 of the total part of salary in the month.
Correct Answer is :    57
Q6Justin's mother gave 13 of an apple to him before he left for school. She gave 23 of the apple to him after he returned from school. How much of the apple did he eat in all?

A. half the apple
B. 34th
C. whole apple
D. quarter part of the apple

Solutions
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Step: 1
Part of apple given by Justin's mother to him before going to school = 13
Step: 2
Part of apple given to him after he returned from the school = 23
Step: 3
The part of the apple he got in total = 13 + 23
Step: 4
= (1+2)3
  [Denominators are equal.]
Step: 5
= 33 = 1
Step: 6
Justin ate one whole apple.
Correct Answer is :   whole apple
Q7Emily spends 110 of her day playing sports and 310 of her day studying. What fraction of the day does Emily spends together playing sports and studying?

A. 13 of the day
B. 25 of the day
C. 15of the day
D. 3100 of the day

Solutions
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Step: 1
The time Emily spends studying and playing = the time she spends studying + the time she spends playing = 310 + 110.
Step: 2
= 3 + 110 = 410
  [As the denominators of the fractions are equal, just add the numerators 3 and 1.]
Step: 3
= 4 ÷ 210 ÷ 2 = 25
  [Simplify the fraction by dividing both the numerator and the denominator by 2.]
Step: 4
So, Emily spends 25 of her day studying and playing.
Correct Answer is :   25 of the day
Q8Quincy bought 35 cup of milk for making an ice cream. She used 15 cup of milk to make one recipe and another 15 cup for another recipe. How much milk did she use in all?

A. 15 cup
B. 25 cup
C. 35 cup
D. 45 cup

Solutions
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Step: 1
Total milk used = Milk used for making one recipe + Milk used for making another recipe = 15 + 15
  [Substitute the fractions.]
Step: 2
= (1 + 1)5 = 25
  [As the denominators of the fractions are equal, just add the numerators 1 and 1.]
Step: 3
So, Quincy used 25 cup of milk.
Correct Answer is :   25 cup
Q9Nina buys a watermelon and a pineapple. The watermelon weighs 711 of a pound and the pineapple weighs 311 of a pound. Find their total weight.
A. 711 pounds
B. 411 pounds
C. 1011 pounds
D. none of these

Solutions
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Step: 1
The weight of watermelon and pineapple = Weight of watermelon + Weight of pineapple = 711 + 311
Step: 2
= (7+3)11 = 1011
  [As the denominators of the fractions are equal, just add the numerators 7 and 3.]
Step: 3
So, the weight of watermelon and pineapple is 1011 pounds.
Correct Answer is :   1011 pounds
Q10Rose bought 63 chocolates. She ate 59 of the chocolates and her friend ate 29 of the chocolates. Find the sum of the fractions of chocolates that Rose and her friend ate.

A. 79
B. 29
C. 17
D. 57

Solutions
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Step: 1
Sum of the fractions of chocolates = Fraction of chocolates Rose ate + Fraction of chocolates her friend ate = 59 + 29
  [Substitute the fractions.]
Step: 2
= (5+2)9 = 79
  [As the denominators of the fractions are equal, just add the numerators 5 and 2.]
Step: 3
So, Rose and her friend ate 79of the chocolates .
Correct Answer is :   79

HighSchool Math