Solved Examples and Worksheet for Application of Multiplying Fractions with Whole Numbers

Q1In a class, 13 of 15 students were absent on Monday. Find the exact number students who were absent on Monday.

A. 5
B. 4
C. 7
D. 6

Solutions
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Step: 1
Number of students absent = 13 of 15
Step: 2
= 13 × 15
  [Fraction of a whole number = fraction × whole number.]
Step: 3
= 13 × 151
  [Write 15 as 151.]
Step: 4
= (1×15)(3×1)
  [Multiply the numerators and the denominators.]
Step: 5
= (1×5)(1×1)
  [Cancel 15 with 3.]
Step: 6
= 51
  [Find the products.]
Step: 7
= 5
  [Write 51 as 5.]
Step: 8
5 students were absent on Monday.
Correct Answer is :   5
Q2Ed and Jerald went on a picnic. Ed drank 6 cokes. Jerald drank 23 of the cokes Ed drank. How many cokes did Jerald drink?
A. 3
B. 5
C. 6
D. 4

Solutions
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Step: 1
Number of cokes Jerald drank = 23 of 6
Step: 2
= 23 × 6
  [Fraction of a whole number = fraction × whole number]
Step: 3
= 23 × 61
  [Write 6 as 61.]
Step: 4
= (2×6)(3×1)
  [Multiply the numerators and denominators.]
Step: 5
= 2×21×1
  [Cancel 6 with 3.]
Step: 6
= 41
  [Find the products.]
Step: 7
= 4
  [Write 41 as 4.]
Step: 8
Jerald drank 4 cokes.
Correct Answer is :   4
Q3Nathan has 12 balloons and 13 of them are lilac in color. How many lilac colored balloons does Nathan have?

A. 7
B. 6
C. 4
D. 2

Solutions
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Step: 1
Number of lilac colored balloons Nathan has = 13 of 12
Step: 2
= 13 × 12
  
Step: 3
= 13 × 121
  [Write 12 as 121.]
Step: 4
= 1×123×1
  [Multiply the numerators and the denominators.]
Step: 5
= 1×41×1
  [Cancel 12 with 3.]
Step: 6
= 41
  [Simplify.]
Step: 7
= 4
  [Write 41 as 4.]
Step: 8
Nathan has 4 lilac colored balloons.
Correct Answer is :   4
Q4Stephanie bought 7 pounds of rice from a grocery store. She used 47 of the rice in two days. How much rice did she use?

A. 4 pounds
B. 6 pounds
C. 1 pound
D. 5 pounds

Solutions
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Step: 1
The quantity of rice she used = 47 of 7
Step: 2
= 47 × 7
  
Step: 3
= 47 × 71
  [Write 7 as 71.]
Step: 4
= 4×77×1
  [Multiply the numerators and the denominators.]
Step: 5
= 4×11×1
  [Cancel 7 with 7.]
Step: 6
= 41
  [Simplify.]
Step: 7
= 4
  [Write 41 as 4.]
Step: 8
Stephanie used 4 pounds of rice in two days.
Correct Answer is :   4 pounds
Q5Nancy had to finish her assignment of 10 pages. She did 25 of it. How many pages did she finish?

A. 5
B. 6
C. 3
D. 4

Solutions
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Step: 1
Nancy had finished 25 of 10 pages.
Step: 2
So, the number of pages she finished = 10 × (25) pages.
Step: 3
= 101 × 25
  [Write 10 as 101.]
Step: 4
= 10×21×5
  [Multiply the numerators and denominators.]
Step: 5
= 2×21×1 = 4
  [Simplify.]
Step: 6
Nancy completed 4 pages of her assignment.
Correct Answer is :   4
Q6Mr. Brian can run 6 miles in one hour. How far can he run in 53 hrs?
A. 9 miles
B. 14 miles
C. 12 miles
D. 10 miles

Solutions
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Step: 1
Mr. Brian can run 6 miles in one hour. He can run 6 × (53) miles in 53 hours.
Step: 2
= (53) × 6
  [Original expression.]
Step: 3
= 53 × 61
  [Write 6 as 61.]
Step: 4
= 5×63×1 = 5×21
  [Simplify.]
Step: 5
= 101 = 10
  [Simplify]
Step: 6
Brian can run 10 miles in 53 hours.
Correct Answer is :   10 miles
Q7Sam had 104 gallons of milk to sell. He sold 34 of the milk. How much milk did he sell?
A. 78 gallons
B. 80 gallons
C. 76 gallons
D. 81 gallons

Solutions
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Step: 1
Quantity of milk Sam sold = 34 of 104
Step: 2
= 34 × 104
  
Step: 3
= 34 × 1041
  [Write 104 as 1041.]
Step: 4
= 3×1044×1
  [Multiply the numerators and the denominators.]
Step: 5
= 3×261×1
  [Cancel 104 with 4.]
Step: 6
= 781
  [Find the products.]
Step: 7
= 78
  [Write 781 as 78.]
Step: 8
Sam sold 78 gallons of milk.
Correct Answer is :   78 gallons
Q8A pizza consisted of 10 pieces. Sam had 25 part of that pizza for his lunch. How many pieces of the pizza did Sam have for his lunch?
A. 6 pieces
B. 7 pieces
C. 4 pieces
D. 8 pieces

Solutions
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Step: 1
The number of pieces in the pizza is 10.
Step: 2
The part of pizza Sam had for his lunch is 25.
Step: 3
The number of pieces Sam had = (the part of pizza Sam had for his lunch) × (the number of pieces in the pizza).
Step: 4
= ( 25) × 10
  [Substitute the values.]
Step: 5
= ( 25) × ( 101)
  [Rewrite 10 as 101.]
Step: 6
= 205
  [Multiply the numerators and the denominators separately.]
Step: 7
= 4
  [Divide]
Step: 8
The number of pieces Sam had for his lunch is 4.
Correct Answer is :   4 pieces
Q9The total number of students in Mrs. Irena's class is 55. 611 of them are girls. Find the number of girls in Mrs. Irena's class.

A. 26
B. 34
C. 30
D. 32

Solutions
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Step: 1
Number of girls = Fraction that represents the girls × total number of students.
Step: 2
= 611× 55
  [Substitute the values.]
Step: 3
= 611 × 551
  [Write 55 as 551.]
Step: 4
= 30
  [SImplify.]
Step: 5
So, the number of girls in Mrs. Irena's class is 30.
Correct Answer is :   30
Q10Jimmy distributed 30 chocolates among his friends. How many chocolates will each child get if Arthur gives 15of the chocolates to each of them?
A. 11
B. 6
C. 3
D. 9

Solutions
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Step: 1
The number of chocolates each child got = Fraction of chocolates each child got × total number of chocolates
Step: 2
= 15× 30
  [Substitute the values.]
Step: 3
= 15 × 301
  [Write 30 as 301.]
Step: 4
= 6
  [Simplify.]
Step: 5
So, each child got 6 chocolates.
Correct Answer is :   6
Q11The total number of students in Mrs. Ursula's class is 28. 67 of them were absent on a particular day. Find the number of students who were absent.

A. 28
B. 22
C. 26
D. 24

Solutions
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Step: 1
Number of students who were absent = Fraction of students absent × total number of students.
Step: 2
= 67 × 28
  [Substitute the values.]
Step: 3
= 67 × 281
  [Write 28 as 281.]
Step: 4
= (6×28)(7×1)
  
Step: 5
= 24
  [Simplify]
Step: 6
So, the number of students who were absent in Mrs. Ursula's class is 24.
Correct Answer is :   24
Q12Francis and George made together 18 paper airplanes. Francis made 13 of the paper airplanes. How many paper airplanes did Francis make?

A. 11
B. 9
C. 6

Solutions
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Step: 1
Number of airplanes Francis made = Fraction of airplanes he made × Total number of airplanes they together made
Step: 2
= 13 × 18
  [Substitute the values.]
Step: 3
= 6
  [Divide 18 by 3.]
Step: 4
So, Francis made 6 paper airplanes.
Correct Answer is :   6
Q13Jack collected 36 marbles.He gave 12 of the marbles to Henry. How many marbles did he give Henry?


A. 14
B. 20
C. 18
D. 12

Solutions
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Step: 1
Number of marbles Jack collected = 36
Step: 2
36 can be divided into 18 groups of 2.
Step: 3
So, Jack gave 18 marbles to Henry.
Correct Answer is :   18
Q14Nancy bought 24 flowers. She used 12 flowers to make a bouqet. How many flowers did she use?


A. 6
B. 12
C. 4
D. 18

Solutions
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Step: 1
Number of flowers Nancy bought = 24
Step: 2
24 can be divided into 12 groups of 2.
Step: 3
So, Nancy used 12 flowers.
Correct Answer is :   12
Q15Jim and Frank ordered a pizza. It was cut into 3 pieces. Jim ate 23 of the pizza. How many pieces did Jim eat?

A. 3
B. 4
C. 2

Solutions
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Step: 1
Number of pieces Jim ate = total number of pieces in the pizza × fraction of pieces that Jim ate
Step: 2
= 3 × 23
  [Substitute the values.]
Step: 3
= 31 × 23
  [Write 3 as 31.]
Step: 4
= 3 × 21 × 3
  [Multiply the numerators and denominators.]
Step: 5
= 63
  [Find the two products.]
Step: 6
= 2
  [Write 63 in simplest form.]
Step: 7
Jim ate 2 pieces of the pizza.
Correct Answer is :   2

HighSchool Math