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

Q1Jim and Victor together bought 32 gallons of milk from a store. If Jim bought 12 gallon, then how many gallons of milk did Victor buy?

A. 2
B. 3
C. 5
D. 1

Solutions
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Step: 1
The quantity of milk Victor bought = The quantity of milk Jim and Victor bought together - The quantity of milk Jim bought.
Step: 2
= 32 - 12 = 3 - 12
  [Write the difference over the common denominator, 2.]
Step: 3
= 22 = 1
  [Subtract numerators and simplify.]
Step: 4
Therefore, Victor bought 1 gallon of milk from the store.
Correct Answer is :   1
Q2The weight of mortar, a mixture of sand, lime and cement, is 92 kg. If the weight of lime and sand in it is 42 kg, then find the weight of cement in the mixture.

A. 12 kg
B. 15 kg
C. 52 kg
D. 25 kg

Solutions
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Step: 1
The weight of cement in the mixture is 92 - 42 kg.
Step: 2
= 9 - 42
  [Write the difference over the same denominator, 2.]
Step: 3
= 52 kg
  [Subtract the numerators.]
Step: 4
The weight of cement in the mortar is 52 kg.
Correct Answer is :    52 kg
Q3Katie gives birth to twins. The weight of one baby is 175 lb and the weight of the second baby is 115 lb. What is the difference between their weights?

A. 56 lb
B. 16 lb
C. 15 lb
D. 65 lb

Solutions
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Step: 1
The weight of first baby is 175 lb and of second baby is 115 lb.
Step: 2
The difference of their weights is 175 - 115.
Step: 3
= 17 - 115
  [Write the difference over the common denominator, 5.]
Step: 4
= 65
  [Subtract the numerators.]
Step: 5
The difference between their weights is 65 lb.
Correct Answer is :    65 lb
Q4A farmer had 94 acres of land. He sprayed pesticide on 24 acres of the land. What portion of the land still needs to be sprayed?

A. 24 acres
B. 47 acres
C. 74 acres
D. 17 acres

Solutions
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Step: 1
Area of land left to be sprayed = total area of the land - area of the land on which pesticide was sprayed
Step: 2
= 94 - 24
  [Substitute the values.]
Step: 3
= 9 - 24
  [Write the difference over the common denominator, 4.]
Step: 4
= 74
  [Subtract the numerators.]
Step: 5
74 acre of land still needs to be sprayed.
Correct Answer is :   74 acres
Q5An bowl with a mixture of clay, sand, and water. The weight of the bowl is 65 lb and the weight of clay and water used in it is 25 lb. Find the weight of sand in the bowl. (Hint: Assume that no water is evaporated.)

A. 58 lb
B. 16 lb
C. 45 lb
D. 17 lb

Solutions
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Step: 1
Weight of sand in the bowl = weight of the bowl - weight of the clay and water in the bowl
Step: 2
= 65 - 25
  [Substitute the values.]
Step: 3
= (6 - 2)5
  [Write the difference over the common denominator 5.]
Step: 4
= 45
  [Subtract the numerators.]
Step: 5
So the weight of sand in the bowl is 45 lb.
Correct Answer is :   45 lb
Q6A newspaper manufacturing company bought 92 tons of white paper. They used 42 tons of the paper to print newspapers. How much of the white paper was left?
A. 32 tons
B. 75 tons
C. 52 tons
D. 27 tons

Solutions
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Step: 1
Quantity of paper remained = total quantity of paper the company bought - quantity of paper used
Step: 2
= 92 - 42
  [Substitute the values.]
Step: 3
= 9 - 42
  [Write the difference 5 over the common denominator.]
Step: 4
= 52 tons
  [Subtract the numerators.]
Correct Answer is :   52 tons
Q7Sunny and Henry receive the same salary. Sunny spends 35 of his salary and Henry spends 25 of his salary. How much more does Sunny spend than Henry?

A. 26
B. 17
C. 15
D. 16

Solutions
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Step: 1
Fraction of salary Sunny spent more than Henry = fraction of salary Sunny spent - fraction of salary Henry spent
Step: 2
= 35 - 25
  [Substitute the values.]
Step: 3
= 3 - 25
  [Write a difference over the common denominator, 5.]
Step: 4
= 15
  [Subtract the numerators.]
Step: 5
Sunny spends 15 of the salary more than Henry.
Correct Answer is :   15
Q8A sales person sold 49 kg of vegetables he had to two people. If the first person bought 19 kg, then how much did the second person buy?
A. 13 kg
B. 23 kg
C. 85 kg
D. 59 kg

Solutions
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Step: 1
Quantity of vegetables bought by the second person = total quantity of vegetables sold by the storekeeper - quantity of vegetables bought by the first person
Step: 2
= 49 - 19
  [Substitute the values.]
Step: 3
= 4-19
  [Write the difference over the common denominator, 9.]
Step: 4
= 39 = 13
  [Subtract the numerators and simplify the fraction.]
Step: 5
So, the second person bought 13 kg of vegetables.
Correct Answer is :   13 kg
Q9George has two dogs Snoopy and Gipsy. Snoopy weighs 94 lb and Gipsy weighs 24 lb. How much more does Snoopy weigh than Gipsy?

A. 37 lb
B. 14 lb
C. 17 lb
D. 74 lb

Solutions
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Step: 1
Difference between the weights of the dogs = weight of Snoopy - weight of Gipsy
Step: 2
= 94 - 24
  [Substitute the values.]
Step: 3
= 9 - 24
  [Write the difference over the common denominator, 4.]
Step: 4
= 74
  [Subtract the numerators.]
Step: 5
The difference between the weights of Snoopy and Gipsy is 74 lb.
Correct Answer is :   74 lb
Q10Ashley bought 85 pounds of potatoes of which 65 pounds were rotten. Find the fraction of potatoes that were not rotten.
A. 15 pounds
B. 12 pounds
C. 25 pounds
D. 16 pounds

Solutions
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Step: 1
Weight of the potatoes that were not rotten = total weight of the potatoes - weight of the potatoes that were rotten
Step: 2
= 85 - 65
  [Substitute the values.]
Step: 3
= 8 - 65
  [Write the difference over the common denominator,5.]
Step: 4
= 25
  [Subtract the numerators.]
Step: 5
∴ The fraction of potatoes that were not rotten is 25 pounds.
Correct Answer is :   25 pounds
Q11Bill ate 57 apples and Ed ate 157 apples. How much more did Ed eat than Bill?
A. 207
B. 97
C. 107
D. 1110

Solutions
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Step: 1
The difference between the number of apples they ate = 157 - 57
Step: 2
= 15 - 57
  [Write the difference over the common denominator.]
Step: 3
= 107
  [Subtract the numerators.]
Step: 4
So, Ed ate 107 of the apple more than Bill.
Correct Answer is :   107
Q12Danielle bought 47 of a cup of milk to make ice cream. She only used 17 of a cup of milk. How much milk was left?

A. 37
B. 47
C. 17
D. 34

Solutions
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Step: 1
Milk left = Milk Danielle bought - Milk she used = 47 - 17
Step: 2
= (4 - 1)7 = 37
  [Subtract the numerators and write the same denominator.]
Step: 3
So, 37 cup of milk is left.
Correct Answer is :   37
Q13Diane bought a watermelon and a pineapple. The watermelon weighs 23 pounds and the pineapple weighs 13 pounds. Which of the two fruits weighs more and by how much?
A. watermelon, by 13 pounds
B. watermelon, by 43 pounds
C. pineapple, by 31 pounds
D. both are equal

Solutions
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Step: 1
The weight of watermelon more than that of pineapple = weight of watermelon - weight of pineapple = 23 - 13 .
Step: 2
= (2-1)3 = 13
  [Subtract the numerators and write the same denominator.]
Step: 3
So, the watermelon weighs 13 pounds more than pineapple.
Correct Answer is :   watermelon, by 13 pounds
Q14Rachel bought some chocolates. She ate 37 of the chocolates and her friend ate 27 of them. Find the difference between the two fractions.

A. 16
B. 37
C. 67
D. 17

Solutions
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Step: 1
Difference between the fractions of chocolates eaten = fraction of chocolates Rachel ate - fraction of chocolates her friend ate = 37 - 27
  [Substitute the fractions.]
Step: 2
= (3 - 2)7 = 17
  [Subtract the numerators and write the same denominator.]
Step: 3
So, the difference between the fractions of chocolates eaten is 17.
Correct Answer is :   17

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