COMPLEX FRACTIONS WORD PROBLEMS
Complex Fractions Word Problems :
In this section, you will learn, how to solve word problems on complex fractions.
Complex Fractions Word 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 ?
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.
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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