#### Solved Examples and Worksheet for Application of Multiplying Fractions

Q1Apple juice requires 56 of a cup of water and juice concentrate of 145 of the water quantity. How much juice concentrate is required for the apple juice?

A. 155 cup
B. 153 cup
C. 154 cup
D. None of the above

Step: 1
= 145 × 56
[Original expression.]
Step: 2
= 19 × 16
[Cancel 45 with 5.]
Step: 3
= 1×19×6 = 154
[Multiply numerators and denominators separately.]
Step: 4
The apple juice requires 154 cup of juice concentrate.
Correct Answer is :   154 cup
Q2Henry ate 47 of a pizza and Valerie ate 14 of what Henry ate. How much did Valerie eat?

A. 17
B. 14
C. 47
D. None of the above

Step: 1
14 × 47
[Original expression.]
Step: 2
= 11 × 17
[Divide by the GCF 4.]
Step: 3
= 1×11×7
[Multiply the numerators and the denominators.]
Step: 4
= 17

Step: 5
Valerie ate 17 of the pizza.
Q3Tim bought 3812 inches of rope and used 27 of it. How much rope did he use?

A. 13 in.
B. 10 in.
C. 12 in.
D. 11 in.

Step: 1
27 × 3812
[Original expression.]
Step: 2
= 27 × 772
[Write the mixed number as an improper fraction.]
Step: 3
= 11 × 111
[Cancel 2 with 2 and 77 with 7.]
Step: 4
= 1 × 111 × 1
[Multiply the numerators and the denominators.]
Step: 5
= 111 = 11
[Write 111 as 11.]
Step: 6
Tim used 11 in. of the rope.
Correct Answer is :   11 in.
Q4Justin's bag contains popcorns weighing 14 oz. Edward's bag contains 13 of Justin's bag of popcorns. Calculate the weight of popcorns in Edward's bag.
A. 34 oz.
B. 113 oz.
C. 111 oz.
D. 112 oz.

Step: 1
The weight of Edward's bag of popcorns = (14 × 13) oz.
Step: 2
= 1×14×3 oz.
[Multiply numerators and denominators.]
Step: 3
= 112 oz.
[Simplify.]
Step: 4
Edward's bag contains popcorns weighing 112 oz.
Correct Answer is :   112 oz.
Q5A new gas line is being installed in a city. If 14 a mile of the gas line is installed in a day. How long will the line be in 85 days?

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

Step: 1
The length of the gas line to be installed in 85 days = the fraction of days × the length of the gas line installed in one day.
Step: 2
= 85 × 14
[Substitute the values.]
Step: 3
= 8×15×4
[Multiply the numerators and the denominators.]
Step: 4
= 2×15×1
[Cancel 8 with 4.]
Step: 5
= 25
[Simplify.]
Step: 6
25 miles long gas line will be installed in 85 days.
Correct Answer is :   25 miles
Q6The length of the dining table Justin made was 383 feet. The length of the dining table Chris made was 34 of Justin's table. What is the length of Chris's dining table?
A. 219 feet
B. 194 feet
C. 192 feet
D. 419 feet

Step: 1
The length of the dining table Chris made = the fraction of the length of Chris's table in Justin's table × the length of Justin's table
Step: 2
= 34 × 383
[Substitute the values.]
Step: 3
= 3 × 384 × 3
[Multiply the numerators and the denominators.]
Step: 4
= 1 × 192 × 1
[Cancel 38, 4 with 2 and 3 with 3.]
Step: 5
= 192
[Simplify.]
Step: 6
The length of the dining table Chris made is 192 feet.
Correct Answer is :   192 feet
Q7Mona is lighting candles to decorate her house for the Christmas party. 37 of the candles are in the shape of balls. 19of these ball-shaped candles are blue in color. What fraction of the candles are blue ball-shaped candles?
A. 321
B. 122
C. 121
D. 19

Step: 1
19 × 37
[Write the product of the fractions.]
Step: 2
= 13 × 17
[Cancel 9 with 3.]
Step: 3
= 17×3 = 121
[Multiply numerators and denominators separately.]
Step: 4
So, the blue ball-shaped candles are 121 of all candles.
Q815 employees of a company went to a Coffee shop. 27 of them ordered a coffee, out of which 38 ordered for a cold coffee. What fraction of them ordered for cold coffee?
A. 429
B. 328
C. 828
D. None of the above

Step: 1
38 × 27
[Write the product of the fractions.]
Step: 2
= 34 × 17
[Cancel 8 with 2.]
Step: 3
= 3×14×7
[Multiply the numerators and denominators separately.]
Step: 4
= 328
[Simplify.]
Step: 5
So, 328 of total employees ordered for a cold coffee.
Q9George is 113 ft tall. His sister Carol is one third of his height. Find Carol's height.

A. 108 ft
B. 1110 ft
C. 119 ft
D. 911 ft

Step: 1
Carol's height = 13 × George's height.
Step: 2
= 13 × 113

Step: 3
= 1 × 113 × 3
[Multiply the numerators and the denominators.]
Step: 4
= 119
[Find the products.]
Step: 5
So, Carol's height is 119 ft.
Correct Answer is :   119 ft
Q10Victor's age is one third of Jake's age. If Jake's age is 152 years, then how old is Victor?

A. 156 years
B. 152 years
C. 153 years
D. 615 years

Step: 1
Victor's age = 13 × Jake's age.
Step: 2
= 13 × 152
[Substitute the value.]
Step: 3
= (1×15)(3×2)
[Multiply the numerators and the denominators.]
Step: 4
= 156
[Find the products.]
Step: 5
So, Victor is 156 years old.
Correct Answer is :   156 years
• Fraction