TWO STEP FRACTION WORD PROBLEMS

Problem 1 :

Jill had 3 full pans of brownies. Each pan made 10 brownies. She gave 3/8 of the brownies to her friends. How many brownies did Jill give away?

Solution:

Given,

Jill had 3 full pans of brownies. Each pan made 10 brownies.

Total number of brownies = 3 × 10 = 30

Problem 2 :

Erin walked 3/5 miles each day for 8 days. On the 9th day, she walked 1 1/4 miles. How many total miles did Erin walk?

Solution:

Number of miles covered by Erin on one day = 3/4 miles

Number of miles covered on 8 days = 8 x (3/4)

Problem 3 :

A jug of drinking water contained 1 2/3 gallons. If 5/7 gallon is drunk each day, how much water was left in the jig after 2 days?

Solution:

So, the water left in the jug after two days was 5/21.

Problem 4 :

Mia has 24 yards of ribbon. She gave 10 yards to her sister. Mia now wants to work on a project that requires 2 1/4 yards of ribbon per project. What is the greatest number of projects that Mia can complete with this ribbon?

Solution:

New Mia has ribbon is 

24 - 10 = 14 yards

The greatest number of project is 6.

Problem 5 :

Paul spent 1/4 of his money on a food and another 3/10 of his money on soda. If he started with $5 how much of his  money is left?

Solution:

Amount spent for food = 1/4 of 5 ==> 5/4

Amount spent for soda = 3/10 of 5 ==> 3/2

Amount left over = 5 - (5/4 + 3/2)

= 5 - (5/4 + 6/4)

= 5 - (11/4)

= (20 - 11)/4

= 9/4

Problem 6 :

Sally has a piece of cloth. She used 1/3 of a foot of the cloth to make a pillow cover and another 4/7 of a foot of the cloth to make a tablecloth. If Sally started with 2 feet of cloth, how much cloth does she has remaining?

Solution:

As per given,

Sally used 19/21 fraction of cloth altogether for the making of pillow cover and table cloth.

Cloth remaining = 2 - (19/21)

= (42 - 19)/21

= 23/21

= 1  2/21

So, 1  2/21 feet part of the cloths are remaining.

Problem 7 :

A container is 1/3 full of water and 1/4 full of oil. What fraction of the container is empty?

Solution:

Problem 8 :

Kathy had $10 and gave half of it to her brother. She then gave a third of the remaining amount to a friend. How much money will Kathy have left?

Solution:

She had $10 - $5 = $5

5 left after giving to her brother.

Next, she gave a third of the remaining $5 to her friend, which is $5 / 3 ≈ $1.67.

Kathy will have $5 - $1.67 ≈ $3.33 left.

Problem 9 :

Carl used 10 2/9 of an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left if he started with 20 inches?

Solution:

Problem 10 :

A box of chocolates includes 24 chocolates. If 1/4 contain nuts, how many chocolates do not contain nuts?

Solution:

Number of chocolates that do not contain nuts.

18 chocolates do not contain nuts.

Problem 11:

You are eating 3/4 cup of ice cream, 1/8 cup of chocolate syrup, and one sixteenths cup of cherries. How many (total) cups is your dessert?

Solution:

So, we have 15/16 cups of dessert.

Problem 12 :

Today is a hot day. You fill a water bottle with 1 2/3 cups of ice, one and one half cups of ice, and 1/4 cup of Gatorade mixture. How many cups is your water bottle filled with?

Solution:

Problem 13 :

You find one half of a cake in the fridge. You give two-fifths of what remains, how much of cake is left?

Solution:

Therefore , there is 3/10 of the cake left.

Problem 14 :

Kendra recorded the amount of water she used in one week for three activites.

a) What is the total amount of water, in gallons, recorded for these activities?

b) How much more water was used during bathing than doing laundry?

Solution:

a)

b)