# COMPLEX FRACTIONS WORD PROBLEMS WORKSHEET

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 ? ## Solutions

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

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. Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

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