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Dividing Fractions Answers

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The temperature fell from 0 to below 0 in hours. Wen tried to find the change in temperature per hour. Her work is shown below.When she checked the answer by estimating, it did not make sense. What error did Wen make?

Question illustration
A
Wen incorrectly converted a mixed number to an improper fraction.
B
Wen added the numerators and denominators instead of multiplying.
C
Wen did not take the reciprocal of the divisor.
D
Wen did not change the division problem to multiplication.
2
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What is the quotient of 6 and ?

Question illustration
A
–12
B
Negative StartFraction 1 over 12 EndFraction
Option B
C
StartFraction 1 over 12 EndFraction
Option C
D
12
3

Which division expression is equivalent to ?

Question illustration
A
StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction)
Option A
B
Negative StartFraction 5 over 6 EndFraction divided by StartFraction 13 over 3 EndFraction
Option B
C
StartFraction 13 over 3 EndFraction divided by StartFraction 5 over 6 EndFraction
Option C
D
Negative StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction)
Option D
4

Which is the best estimate of ?

Question illustration
A
4
B
6
C
22
D
33
5

Which explains how to find the quotient of the division below?

Question illustration
A
Write as , and find the reciprocal of as . Then, rewrite as . The quotient is .
Option A
B
Write as , and find the reciprocal of as . Then, rewrite as . The quotient is .
Option B
C
Write as . Then, rewrite as . The quotient is .
Option C
D
Write as . Then, rewrite as . The quotient is .
Option D
6

Which expression is equivalent to ?

Question illustration
A
StartFraction 9 over 4 EndFraction divided by three-halves
Option A
B
Negative StartFraction 9 over 4 EndFraction divided by (negative two-thirds)
Option B
C
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
Option C
D
StartFraction 9 over 4 EndFraction divided by (negative three-halves)
Option D
7

Several batches of stew were made yesterday. Each batch required pounds of meat. All together, pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.When she checked the answer by estimating, it did not make sense. What error did Janice make?

Question illustration
A
Janice converted a mixed number to the wrong improper fraction.
B
Janice added the numerators and denominators instead of multiplying.
C
Janice did not change the division problem to multiplication.
D
Janice did not convert the improper fraction to a mixed number correctly in the answer.
8

Esmerelda simplified a complex fraction. Her work is shown below.What errors did Esmerelda make? Select three options.

Question illustration
A
Esmerelda converted the mixed number to the wrong improper fraction.
B
Esmerelda added the numerators.
C
Esmerelda added the denominators.
D
Esmerelda did not divide –24 by 6 correctly.
E
Esmerelda did not use the reciprocal of the divisor.
9

Ankur estimated the quotient of to be 3. Which best describes his error?

Question illustration
A
Ankur multiplied the compatible numbers 15 and –3.
B
Ankur found that the quotient of a positive number and a negative number is negative.
C
Ankur found that the quotient of a positive number and a negative number is positive.
D
Ankur added the compatible numbers 15 and –3.
10

Dianna made several loaves of bread yesterday. Each loaf required cups of flour. All together, she used cups of flour. How many loaves did Dianna make?

Question illustration
A
3 loaves
B
4 loaves
C
5 loaves
D
7 loaves

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