Solved Examples and Worksheet for Multiplying Fractions with Whole Numbers

Q1Find the product of 49 and 19.

A. 1049
B. 949
C. 749
D. 849

Solutions
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Step: 1
49 × 19
  [Original expression.]
Step: 2
= 49 × 191
  [Write 19 as 191.]
Step: 3
= 4 × 199 × 1
  [Multiply the numerators and the denominators.]
Step: 4
= 769
  
Step: 5
= 849
  [Convert improper fraction into mixed number.]
Step: 6
The product of 49 and 19 is 849.
Correct Answer is :   849
Q2Danielle had 14 jobs to complete. By the evening, she completed 37 of the jobs. How many jobs did she complete?
A. 12
B. 9
C. 5
D. 6

Solutions
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Step: 1
Number of jobs she completed = fraction of jobs she completed x total number of jobs
Step: 2
= 37 x 14
  [Substitute the values.]
Step: 3
= 37 x 141
  [Write 14 as 141.]
Step: 4
= 31 x 21
  [Cancel 14 with 7.]
Step: 5
= 3x21x1
  [Multiply the numerators and the denominators.]
Step: 6
= 61 = 6
  [Write 61 as 6.]
Step: 7
Danielle completed 6 jobs.
Correct Answer is :   6
Q3Diane bought 25 pounds of cherries from a vegetable store. She used 25of them in two days. What quantity of cherries did she use?

A. 9 pounds
B. 14 pounds
C. 10 pounds
D. 12 pounds

Solutions
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Step: 1
Quantity of cherries she used = fraction of cherries she used × quantity of cherries she bought
Step: 2
= 25 × 25
  [Substitute the values.]
Step: 3
= 25 × 251
  [Write 25 as 251.]
Step: 4
= 21 × 51
  [Cancel 25 with 5.]
Step: 5
= 2×51×1
  [Multiply the numerators and the denominators.]
Step: 6
= 101 = 10
  [Write 101 as 10.]
Step: 7
Diane used 10 pounds of cherries.
Correct Answer is :   10 pounds
Q4Lydia had 6 files to update. By the evening, she updated 13 of the files. How many files did she update?
A. 2
B. 1
C. 4
D. 3

Solutions
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Step: 1
Number of files she updated = fraction of files she updated × total number of files
Step: 2
= 13 × 6
  [Substitute the values.]
Step: 3
= 13 × 61
  [Write 6 as 61.]
Step: 4
= 11 × 21
  [Cancel 6 with 3.]
Step: 5
= 1 × 21 × 1
  [Multiply the numerators and the denominators.]
Step: 6
= 21 = 2
  [Write 21 as 2.]
Step: 7
Lydia updated 2 files.
Correct Answer is :   2
Q5Tony drank 10 cups of orange juice in one day. Dennis drank 25 part of that of Tony. How many cups of juice did Dennis drink?
A. 4 cups
B. 3 cups
C. 6 cups
D. 9 cups

Solutions
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Step: 1
25 × 10
Step: 2
= 25 × 101
  [Write 10 as 101.]
Step: 3
= 21 × 21
  [Cancel 10 with 5.]
Step: 4
= 2×21×1
  [Multiply the numerators and the denominators.]
Step: 5
= 41 = 4
  [Write 41 as 4.]
Step: 6
Dennis drank 4 cups of juice.
Correct Answer is :   4 cups
Q611000 × 511 = ______
A. 4000
B. 6000
C. 7000
D. 5000

Solutions
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Step: 1
11000 × 511
  
Step: 2
= 110001 × 511
  [Write 11000 as 110001.]
Step: 3
= 11000 × 511 × 1
  [Multiply the numerators and denominators.]
Step: 4
= 5500011
  [Find the two products.]
Step: 5
= 5000
  [Divide 55000 by 11.]
Step: 6
11000 × 511 = 5000
Correct Answer is :   5000
Q79 × 23 = ______

A. 8
B. 7
C. 6
D. 9

Solutions
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Step: 1
9 × 23
  
Step: 2
= 91 × 23
  [Write 9 as 91.]
Step: 3
= 9 × 21 × 3
  [Multiply the numerators and denominators.]
Step: 4
= 183
  [Find the two products.]
Step: 5
= 6
  [Write 183 in simplest form.]
Step: 6
9 × 23 = 6
Correct Answer is :   6
Q856 × 60 = ______
A. 54
B. 50
C. 53
D. 55

Solutions
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Step: 1
56 × 60
  
Step: 2
= 56 × 601
  [Write 60 as 601.]
Step: 3
= 5 × 606 × 1
  [Multiply the numerators and denominators.]
Step: 4
= 3006
  [Find the two products.]
Step: 5
= 50
  [Divide 300 by 6.]
Correct Answer is :   50
Q916 × 30 = ______

A. 5
B. 8
C. 7
D. 6

Solutions
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Step: 1
16 × 30
  
Step: 2
= 16 × 301
  [Write 30 as 301.]
Step: 3
= 1 × 306 × 1
  [Multiply the numerators and denominators.]
Step: 4
= 306
  [Find the two products.]
Step: 5
= 5
  [Divide 30 by 6.]
Step: 6
16 × 30 = 5
Correct Answer is :   5
Q1016 × 36 = ______

A. 6
B. 9
C. 7
D. 5

Solutions
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Step: 1
16 × 36
  
Step: 2
= 16 × 361
  [Write 36 as 361.]
Step: 3
= 1 × 366 × 1
  [Multiply the numerators and denominators.]
Step: 4
= 366
  [Find the two products.]
Step: 5
= 6
  [Divide 36 by 6.]
Step: 6
16 × 36 = 6
Correct Answer is :   6

HighSchool Math