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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
5.14 Word Problems - Fractions of Fractions


Example 1:
In a classroom, 1/3 of the students are blonds. If 3/4 of the blonds are girls, what fractional part of the students in the class are blond boys.

Solution:
Fraction of students who are blonds in the class = 1/3
3/4 of the blonds are girls
The fractional part of students in the class that are blond boys: 1 - 3/4 = 1/4 must be boys.
So the fraction of students that are blond boys is 1/3 x 1/4 = 1/12 .

Example 2:
There are twice as many girls as there are boys in the school's team. If 3/8 of the boys are seniors, they make what fractional part of the classroom.
Solution:
You want the fractional part of the team that consist of senior boys, so you need to multiply the fraction of boys in the club by the fraction of boys that are seniors.
You know that 3/8 of the boys are seniors, but you aren't told what fraction of the team are boys.
There are twice as many girls as boys. That means that for every 2 girls there is 1 boy, the fraction of boys in the team = 1/(2+1) = 1/3
Therefore the fraction of senior boys = 1/3 x 3/8 = 3/25 - 1/8

Directions: Solve the following word problems with fractions.
Q 1: In a classroom, 3/4 of the students play basketball . If 1/2 of them are girls, what fractional part of the students in the class are boys that play basketball.

3/8
3/2
2/8

Q 2: In Mrs B's class, 2/3 of the students are good in Math. Of them 1/2 th of them score more than 90. What fractional part of Mrs. B's class scored more than 90%?
1/2
1/3
2/3

Q 3: There are 3 times as many chocolate cupcakes as vanilla ones. If 1/4 of the chocolate cupcakes have sprinkles, what fractional part of the cupcakes are chocolate with sprinkles?
(Hint: There are 3 chocolate cupcakes for every 1 vanilla cupcake. That means: 3/(3+1) of the cupcakes are chocolate. Since 1/4 of the chocolate cupcakes have sprinkles, 3/4 x 1/4 = ___)
1/12
1/16
3/16

Q 4: The students in a class ordered sandwiches for lunch. If 2/3 want chicken sandwiches and and the other 1/3 want tuna sandwiches. Of the 2/3 who want chicken sandwiches, 1/4 of them do not want mayonnaise on their sandwiches. How many students do not want mayonnaise on their sandwiches?
1/4
1/12
1/6

Q 5: 1/6th of the crayons in a box are pastels. If 1/4 of the pastel crayons are broken, what fractional part of the box of crayons are broken pastels?
1/24
1/18
5/12

Q 6: A store sells twice as many DVDs as VHS tapes. If 2/5 of the VHS tapes they sell are action films, what fractional part of the store's video sales are VHS action films?
(Hint: 1/5 of the questions are open ended so remaining 1-1/5=4/5 of them must be multiple choice. Bob answers 7/8 of the multiple-choice questions correctly. So this represents 4/5x7/8= _____)
7/10
6/10
21/40

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Question 8: This question is available to subscribers only!


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