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Fraction Division in the Real World Answers

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Which situation is best modeled with a division expression?

A
finding the number of equal-sized parts into which a number can be split
B
finding the combined value of several different numbers
C
finding the distance between two numbers on a number line
D
finding the total value when several of the same number are grouped together
2
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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.
3

Which question is best modeled with a division expression?

A
What is the sum of 3 and ?
Option A
B
What is the quotient of 3 and ?
Option B
C
What is the product of 3 and ?
Option C
D
What is the difference of 3 and ?
Option D
4

Marcus wants to find the speed of a train that traveled of a mile in 6 minutes. Sanjay wants to find the speed of a train that traveled 6 miles in of an hour. Whose problem is best modeled by a division expression?

Question illustration
A
only Marcus’s
B
only Sanjay’s
C
both Marcus’s and Sanjay’s
D
neither Marcus’s nor Sanjay’s
5

Which question is best modeled with a division expression?

A
How far can you travel using gallon of gas in a car that gets 18 miles per gallon?
Option A
B
How far can you travel in a car driving at an average rate of 52 miles per hour for hour?
Option B
C
How fast are you driving, in miles per hour, if you travel 18 miles in hour?
Option C
D
How fast are you driving if you travel at the speed of a car moving at 52 miles per hour?
Option D
6

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
7

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
8

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
9

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
10

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

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