COMPLEX FRACTIONS WORD PROBLEMS WORKSHEET
Complex Fractions Word Problems Worksheet :
Worksheet given in this section will be much useful for the students who would like to practice solving word problems on complex fractions.
Complex Fractions Word Problems Worksheet - Problems
Problem 1 :
Maya wants to divide a 3/4 pound box of trail mix into small bags. Each bag will hold 1/12 pound of trail mix. How many bags of trail mix can Maya fill ?
Problem 2 :
Cooper's bird feeder holds 9/10 of a cup of birdseed. Cooper is filling the bird feeder with a scoop that holds 3/10 of a cup. How many scoops of birdseed will Cooper put into the feeder?
Problem 3 :
A cookie factory uses 1/6 of a bag of flour in each batch of cookies. The factory used 1/2 of a bag of flour yesterday. How many batches of cookies did the factory make?
Problem 4 :
Sharon uses 1/2 ounces of lemonade to make each cup of a recipe. If she uses 18 ounces of lemonade, how many cups of recipe can she make ?
Complex fractions word problems worksheet - Solution
Problem 1 :
Maya wants to divide a 3/4 pound box of trail mix into small bags. Each bag will hold 1/12 pound of trail mix. How many bags of trail mix can Maya fill ?
Solution :
Amount of trail mix each bag holds = 1/12 pound
Given : Each bag will hold 1/12 pound of trail mix.
Then, the number bags required for 3/4 pounds of trail mix is
= (3/4) / (1/12)
In the above complex fraction, change the division as multiplication and take reciprocal of the fraction in denominator.
= 3/4 ⋅ 12/1
Simplify.
= (3 ⋅ 12) / (4 ⋅ 1)
= (3 ⋅ 3) / (1 ⋅ 1)
= 9 / 1
= 9
So, Maya can fill 3/4 pound of trail mix in 9 bags.
Problem 2 :
Cooper's bird feeder holds 9/10 of a cup of birdseed. Cooper is filling the bird feeder with a scoop that holds 3/10 of a cup. How many scoops of birdseed will Cooper put into the feeder?
Solution :
Amount of seeds bird feeder holds = 9/10 of a cup
Given : Cooper is filling the bird feeder with a scoop that holds 3/10 of a cup.
Then, the number of scoops of birdseed will Cooper put into the feeder is
= (9/10) / (3/10)
In the above complex fraction, change the division as multiplication and take reciprocal of the fraction in denominator.
= 9/10 ⋅ 10/3
Simplify.
= (9 ⋅ 10) / (10 ⋅ 3)
= (3 ⋅ 1) / (1 ⋅ 1)
= 3 / 1
= 3
So, Cooper will put 3 scoops of birdseed into the feeder.
Problem 3 :
A cookie factory uses 1/6 of a bag of flour in each batch of cookies. The factory used 1/2 of a bag of flour yesterday. How many batches of cookies did the factory make?
Solution :
Flour used in each batch of cookies = 1/6 of a bag
Given : The factory used 1/2 of a bag of flour yesterday.
Then, the number of batches of cookies the factory made yesterday :
= (1/2) / (1/6)
In the above complex fraction, change the division as multiplication and take reciprocal of the fraction in denominator.
= 1/2 ⋅ 6/1
Simplify.
= (1 ⋅ 6) / (2 ⋅ 1)
= (1 ⋅ 3) / (1 ⋅ 1)
= 3 / 1
= 3
So, 3 batches of cookies the factory made yesterday.
Problem 4 :
Sharon uses 1/2 ounces of lemonade to make each cup of a recipe. If she uses 18 ounces of lemonade, how many cups of recipe can she make ?
Solution :
Lemonade used for each cup of recipe = 1/2 ounces
Given : Sharon uses 18 ounces of lemonade
Then, the number of cups of recipe can be made with 18 ounces of lemonade is
= 18 / (1/2)
In the above complex fraction, change the division as multiplication and take reciprocal of the fraction in denominator.
18 / (1/2) = 18 ⋅ 2/1
Simplify.
18 / (1/2) = (18 ⋅ 2) / 1
18 / (1/2) = 36 / 1
18 / (1/2) = 36
So, Sharon can make 36 cups recipe with 18 ounces of lemonade.
After having gone through the stuff given above, we hope that the students would have understood, how to solve word problems on complex fractions.
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