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

Fraction Multiplication and Division Answers

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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.
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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