AnswersBasic Intermediate Algebra Sem. 1Dividing a Fraction by a Fraction

Dividing a Fraction by a Fraction — Unit test Answers

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1
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Mable’s cookie recipe calls for of a cup of flour. Her mother’s recipe calls for as much as Mable’s. How many cups of flour does her mother’s recipe require?

Question illustration
A
StartFraction 1 Over 12 EndFraction
Option A
B
One-half
Option B
C
1 and one-half
Option C
D
1 and StartFraction 5 Over 12 EndFraction
Option D
2
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What is the quotient in simplest form?

Question illustration
A
StartFraction 1 Over 10 EndFraction
Option A
B
One-half
Option B
C
8
D
10
3

After completing the fraction division , Bai used the multiplication below to check his work. Which is the most accurate description of Bai’s work?

Question illustration
A
Bai found the correct quotient and checked his work using multiplication correctly.
B
Bai found the correct quotient but checked his work using multiplication incorrectly.
C
Bai found an incorrect quotient but checked his work using multiplication correctly.
D
Bai found an incorrect quotient and checked his work using multiplication incorrectly.
4

To determine the total amount of gas it took to mow the lawn this past summer, Erin multiplied the number of times she mowed the lawn, 24, by the amount of gas it takes to mow the lawn each time, of a gallon. What is the total amount of gas?

Question illustration
A
of a gallon
Option A
B
of a gallon
Option B
C
9 gallons
D
64 gallons
5

Which expression would the model be most helpful in solving?

Question illustration
A
One-sixth divided by StartFraction 5 Over 6 EndFraction
Option A
B
StartFraction 5 Over 6 EndFraction divided by one-sixth
Option B
C
6 divided by one-sixth
Option C
D
6 divided by StartFraction 5 Over 6 EndFraction
Option D
6

How many groups of are in ?

Question illustration
A
StartFraction 9 Over 15 EndFraction
Option A
B
StartFraction 9 Over 10 EndFraction
Option B
C
1 and one-third
Option C
D
1 and StartFraction 1 over 9 EndFraction
Option D
7

Dierdre’s work to solve a math problem is shown below.Problem: How many -foot pieces can be cut from a 12-foot length of ribbon?Step 1:Step 2:Step 3:Step 4:Answer:What was Dierdre’s first error?

Question illustration
A
She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
B
She used an improper fraction in step 2 that is not equivalent to .
Option B
C
She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal.
D
She reduced the fraction in step 4 incorrectly.
8

How can the diagram be used to evaluate ?

Question illustration
A
Start at 0 and move lengths of until arriving at . The answer is .
Option A
B
Start at 0 and move lengths of until arriving at . The answer is 2.
Option B
C
Start at 0 and move lengths of until arriving at . The answer is 2.
Option C
D
Start at 0 and move lengths of until arriving at . The answer is .
Option D
9

Kenji uses the diagram to determine the quotient of and . He arrives at an answer of . Which could be Kenji’s error?

Question illustration
A
Kenji counted by instead of .
Option A
B
Kenji computed the division backwards, .
Option B
C
Kenji used the wrong fractional part to represent what was left over. Instead of a number of out 2, the number should be out of 5.
D
Kenji used the wrong fractional part to represent what was left over. Instead of a number of out 2, the number should be out of 10.
10

When multiplying the fractions and , what is the product of the denominators?

Question illustration
Answer not available
11

A shelf is 24 inches wide. How many books, each of an inch thick, can fit on the shelf?Which equation can be used to solve the above problem?

Question illustration
A
24 divided by StartFraction 7 Over 8 EndFraction
Option A
B
StartFraction 7 Over 8 EndFraction divided by 24 = b
Option B
C
b divided by 24 = StartFraction 7 Over 8 EndFraction
Option C
D
b divided by StartFraction 7 Over 8 EndFraction = 24
Option D
12

Henry made himself a sandwich that was of a foot long. He put pepperoni on of his sandwich. What length of the sandwich did not have pepperoni on it?

Question illustration
A
of a foot
Option A
B
of a foot
Option B
C
of a foot
Option C
D
of a foot
Option D
13

To find the quotient ,

Question illustration
A
multiply by .
Option A
B
multiply by 3.
Option B
C
multiply by 3.
Option C
D
multiply by .
Option D
14

One bag of grapefruit weighs pounds. How many pounds of grapefruit are in bags?

Question illustration
A
pounds
Option A
B
pounds
Option B
C
pounds
Option C
D
pounds
Option D
15

Mateo has already swum of the 2,000 meters he is swimming today. If he continues swimming at a pace of of a meter per second, which expression shows the amount of time it will take him to swim the remaining distance?

Question illustration
A
2000 times four-fifths times three-fourths
Option A
B
2000 times four-fifths divided by three-fourths
Option B
C
2000 times one-fifth times three-fourths
Option C
D
2000 times one-fifth divided by three-fourths
Option D

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