AnswersAIA - 12 Career Math 1st SemFinding a Rule for Dividing Fractions

Finding a Rule for Dividing Fractions Answers

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1
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Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.Which is the most accurate description of Urvi’s work?

Question illustration
A
Urvi solved the problem correctly.
B
Urvi multiplied the dividend by the divisor instead of finding the reciprocal.
C
Urvi multiplied the denominators instead of finding a common denominator.
D
Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
2
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Which values of a, b, and c represent the answer in simplest form?

Question illustration
A
a = 1, b = 3, c = 2
Option A
B
a = 1, b = 40, c = 24
Option B
C
a = 1, b = 16, c = 24
Option C
D
a = 1, b = 2, c = 3
Option D
3

Rashid solved a fraction division problem using the rule “multiply by the reciprocal.” His work is shown below.Which is the most accurate description of Rashid’s work?

Question illustration
A
Rashid solved the problem correctly.
B
Rashid multiplied the dividend by the divisor instead of finding the reciprocal.
C
Rashid multiplied the denominators instead of finding a common denominator.
D
Rashid multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
4

To find the quotient ,

Question illustration
A
multiply by .
Option A
B
multiply by 8.
Option B
C
multiply by 8.
Option C
D
multiply by .
Option D
5

Which shows the correct way to use the rule “multiply by the reciprocal” for the expression below?

Question illustration
A
StartFraction 1 Over 7 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 5 Over 56 EndFraction
Option A
B
StartFraction 7 Over 1 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 35 Over 8 EndFraction
Option B
C
StartFraction 1 Over 7 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 8 Over 35 EndFraction
Option C
D
StartFraction 7 Over 1 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 56 Over 5 EndFraction
Option D
6

Arianna solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.Which is the most accurate description of Arianna’s work?

Question illustration
A
Arianna solved the problem correctly.
B
Arianna multiplied the dividend by the divisor instead of finding the reciprocal.
C
Arianna multiplied the denominators instead of finding a common denominator.
D
Arianna multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
7

After completing the fraction division , Patel found a quotient of . He then used the multiplication below to check his work. Which is the most accurate description of Patel’s work?

Question illustration
A
Patel found the correct quotient and checked his work using multiplication correctly.
B
Patel found the correct quotient but checked his work using multiplication incorrectly.
C
Patel found an incorrect quotient but checked his work using multiplication correctly.
D
Patel found an incorrect quotient and checked his work using multiplication incorrectly.
8

To find the quotient ,

Question illustration
A
multiply by 4.
Option A
B
multiply by .
Option B
C
multiply by .
Option C
D
multiply by 4.
Option D
9

Which values of a, b, and c represent the answer in simplest form?

Question illustration
A
a = 1, b = 4, c = 3
Option A
B
a = 1, b = 3, c = 4
Option B
C
a = 1, b = 63, c = 36
Option C
D
a = 1, b = 36, c = 63
Option D
10

What is the quotient in simplest form?

Question illustration
A
StartFraction 7 Over 36 EndFraction
Option A
B
StartFraction 4 Over 7 EndFraction
Option B
C
1 and three-fourths
Option C
D
5 and StartFraction 1 Over 7 EndFraction
Option D

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