AnswersAIA - 12 Career Math 1st SemDividing a Fraction by a Fraction

Fraction Multiplication and Division Answers

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Twelve of the comic books in Rachel’s collection are in mint condition. If of her collection is in mint condition, how many comic books are in her collection?Which equation can be used to solve the problem above?

Question illustration
A
12 divided by one-sixth = n
Option A
B
One-sixth divided by 12 = n
Option B
C
n divided by one-sixth = 12
Option C
D
n divided by 12 = one-sixth
Option D
2
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Which expression can be used to find the quotient of 15 and ?

Question illustration
A
15 + one-third
Option A
B
15 minus one-third
Option B
C
15 times one-third
Option C
D
15 divided by one-third
Option D
3

Which question is best modeled with a division expression?

A
How much does it cost to buy pounds of apples at $2 per pound?
Option A
B
How many apples are needed for 2 pies if the recipe uses apples per pie?
Option B
C
How many more apples are needed if a recipe uses apples and you only have 2 apples?
Option C
D
How many apples are in each pie if a total of apples were used to bake 2 pies?
Option D
4

Which problem is best modeled by the equation ?

Question illustration
A
If 8 people each ate a cantaloupe, how many cantaloupes did they eat in all?
Option A
B
If of the boys on a basketball team are over six feet tall and there are 8 boys on the team, how many are over six feet tall?
Option B
C
If of the students in Joe’s math class earned As on the last test and 8 students earned As, how many students are in the class?
Option C
D
If 8 friends are going to share a tub of popcorn, what fraction of the tub will each person eat?
Option D
5

Which question is best modeled with a division expression?

A
How many ’s are in 48?
Option A
B
What is of 48?
Option B
C
What is the total of and 48?
Option C
D
How much more than is 48?
Option D
6

Teagan believes she can use a division expression to find the amount of pizza each of 6 friends will eat if they share of a pizza. Which statement best explains why Teagan is correct or incorrect?

Question illustration
A
Teagan is correct in using a division expression because is less than 1.
Option A
B
Teagan is correct in using a division expression because the question is about splitting a value into equal parts.
C
Teagan is incorrect in using a division expression because the term “of” in a math problem implies multiplication.
D
Teagan is incorrect in using a division expression because the total amount of pizza eaten is unknown.
7

Jamaal read of a book in of an hour. At this rate, how long will it take him to read the entire book?

Question illustration
A
of an hour
Option A
B
of an hour
Option B
C
hours
Option C
D
hours
Option D
8

A cake recipe requires cups of flour to make 1 cake. How many cakes can be made by a baker who has 16 cups of flour?

Question illustration
A
3
B
4
C
40
D
72
9

Mikhail believes he can use the multiplication expression to find the total number of pound servings of rice he can make from 6 pounds of rice. Which statement best explains why Mikhail is correct or incorrect?

Question illustration
A
Mikhail is correct in using a multiplication expression because the product of 6 and is an integer.
Option A
B
Mikhail is correct in using a multiplication expression because is the number of servings per pound.
Option B
C
Mikhail is incorrect in using a multiplication expression because the term “total” implies finding the sum of an addition expression.
D
Mikhail is incorrect in using a multiplication expression because the question asks how many equal-sized parts 6 can be divided into.
10

Joylin’s work to solve a math problem is shown below.Problem: Manny walked of the distance to the library in of an hour. If he walks at a constant rate, what is the total amount of time he will spend walking to the library?Step 1:Step 2:Step 3:Answer:What was Joylin’s first error?

Question illustration
A
She switched the divisor and the dividend when creating an equation to model the problem in step 1.
B
She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.
C
She multiplied the two numerators and the two denominators to generate her product in step 3.
D
She reduced the improper fraction incorrectly when getting her final answer.

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