#### 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

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.
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

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.
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

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

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.
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

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

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
Q79 × 23 = ______

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

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
Q856 × 60 = ______
A. 54
B. 50
C. 53
D. 55

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.]
Q916 × 30 = ______

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

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
Q1016 × 36 = ______

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

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