Question 1

Choose the pair of rational numbers that are between the given fractions.
-$\frac { - 10 } { 15 }$ and $\frac { - 11 } { 15 }$

Accepted Answer

A)  $\frac { - 21 } { 30 } , \frac { - 19 } { 30 }$ 
B)  $\frac { - 31 } { 45 } , \frac { - 32 } { 45 }$ 
C)  $\frac { - 34 } { 45 } , \frac { - 35 } { 45 }$ 
D)  $\frac { 19 } { 30 } , \frac { - 23 } { 30 }$ 
A)  $\frac { - 21 } { 30 } , \frac { - 19 } { 30 }$ 
B)  $\frac { - 31 } { 45 } , \frac { - 32 } { 45 }$ 
C)  $\frac { - 34 } { 45 } , \frac { - 35 } { 45 }$ 
D)  $\frac { 19 } { 30 } , \frac { - 23 } { 30 }$

Question 2

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
-$\frac { - 3 } { 4 } , \frac { - 5 } { 8 }$

Accepted Answer

A)  Equivalent 
B)  $\frac { - 5 } { 8 } , \frac { - 3 } { 4 }$ 
C)  $\frac { - 3 } { 4 } , \frac { - 5 } { 8 }$ 
A)  Equivalent 
B)  $\frac { - 5 } { 8 } , \frac { - 3 } { 4 }$ 
C)  $\frac { - 3 } { 4 } , \frac { - 5 } { 8 }$

Question 3

Answer the question. Give your answer in simplest form.
-Julia preheated her oven for 8 minutes. What fraction of an hour was this? (1 hour = 60 min)

Accepted Answer

A)  $\frac { 13 } { 60 } \mathrm { hr }$ 
B)  $\frac { 7 } { 60 } \mathrm { hr }$ 
C)  $\frac { 2 } { 15 } \mathrm { hr }$ 
D)  $\frac { 1 } { 6 } \mathrm { hr }$ 
A)  $\frac { 13 } { 60 } \mathrm { hr }$ 
B)  $\frac { 7 } { 60 } \mathrm { hr }$ 
C)  $\frac { 2 } { 15 } \mathrm { hr }$ 
D)  $\frac { 1 } { 6 } \mathrm { hr }$

Question 4

Perform the indicated operation. Express your answer in simplest form.
-$\frac { 7 } { 4 x } - \frac { 3 } { 4 y }$

Accepted Answer

A)  $\frac { 4 } { x y }$ 
B)  $\frac { 7 x + 3 y } { 4 x y }$ 
C)  $\frac { 7 x - 3 y } { 4 x y }$ 
D)  $\frac { 7 y - 3 x } { 4 x y }$ 
A)  $\frac { 4 } { x y }$ 
B)  $\frac { 7 x + 3 y } { 4 x y }$ 
C)  $\frac { 7 x - 3 y } { 4 x y }$ 
D)  $\frac { 7 y - 3 x } { 4 x y }$

Question 5

Answer the question. Give your answer in simplest form.
-A 6-minute egg is cooked for what fraction of an hour? (1 hour = 60 min)

Accepted Answer

A)  $\frac { 11 } { 60 } \mathrm { hr }$ 
B)  $\frac { 2 } { 15 } \mathrm { hr }$ 
C)  $\frac { 1 } { 10 } \mathrm { hr }$ 
D)  $\frac { 1 } { 12 } \mathrm { hr }$ 
A)  $\frac { 11 } { 60 } \mathrm { hr }$ 
B)  $\frac { 2 } { 15 } \mathrm { hr }$ 
C)  $\frac { 1 } { 10 } \mathrm { hr }$ 
D)  $\frac { 1 } { 12 } \mathrm { hr }$

Question 6

Perform the indicated operation. Express your answer in simplest form.
-$\frac { 1 } { 6 } + 1$

Accepted Answer

A)  $\frac { 7 } { 36 }$ 
B)  $\frac { 7 } { 2 }$ 
C)  $\frac { 7 } { 6 }$ 
D)  $\frac { 7 } { 12 }$ 
A)  $\frac { 7 } { 36 }$ 
B)  $\frac { 7 } { 2 }$ 
C)  $\frac { 7 } { 6 }$ 
D)  $\frac { 7 } { 12 }$

Question 7

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
-$\frac { 1 } { 3 } , \frac { 13 } { 17 }$

Accepted Answer

A)  $\frac { 13 } { 17 } , \frac { 1 } { 3 }$ 
B)  Equivalent 
C)  $\frac { 1 } { 3 } , \frac { 13 } { 17 }$ 
A)  $\frac { 13 } { 17 } , \frac { 1 } { 3 }$ 
B)  Equivalent 
C)  $\frac { 1 } { 3 } , \frac { 13 } { 17 }$

Question 8

Provide the proper response. Show all fractions in simplest form.
-Refer to the figure below and represent the indicated amount as a fraction.
The dots inside the intersection of the rectangle and the circle as a part of all the dots.

Accepted Answer

A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 4 } { 9 }$ 
C)  $\frac { 4 } { 21 }$ 
D)  $\frac { 1 } { 9 }$ 
A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 4 } { 9 }$ 
C)  $\frac { 4 } { 21 }$ 
D)  $\frac { 1 } { 9 }$

Question 9

Answer the question. Give your answer in simplest form.
-For lunch, Jamie bought a 8-inch submarine sandwich. What fraction of a foot was Jamie's sandwich? (1 foot = 12 inches)

Accepted Answer

A)  $\frac { 7 } { 12 } \mathrm { ft }$ 
B)  $\frac { 2 } { 3 } \mathrm { ft }$ 
C)  $\frac { 5 } { 12 } \mathrm { ft }$ 
D)  $\frac { 5 } { 6 } \mathrm { ft }$ 
A)  $\frac { 7 } { 12 } \mathrm { ft }$ 
B)  $\frac { 2 } { 3 } \mathrm { ft }$ 
C)  $\frac { 5 } { 12 } \mathrm { ft }$ 
D)  $\frac { 5 } { 6 } \mathrm { ft }$

Question 10

Answer the question. Give your answer in simplest form.
-$\text { Since there are seven days in the week, how many days are in } \frac { 4 } { 7 } \text { of a week? }$

Accepted Answer

A) 11 day(s) 
B) 7 day(s) 
C) 4 day(s) 
D) 3 day(s) 
A) 11 day(s) 
B) 7 day(s) 
C) 4 day(s) 
D) 3 day(s)

Question 11

Choose the best estimate from the list.
-$6 \frac { 1 } { 3 } + 10 \frac { 2 } { 3 }$ is approximately $16,16 \frac { 1 } { 3 } , 16 \frac { 2 } { 3 } , 17$

Accepted Answer

A)  $16 \frac { 2 } { 3 }$ 
B)  16 
C)  17 
D)  $16 \frac { 1 } { 3 }$ 
A)  $16 \frac { 2 } { 3 }$ 
B)  16 
C)  17 
D)  $16 \frac { 1 } { 3 }$

Question 12

Choose the rational number that is between the given fractions.
-$\frac { 18 } { 23 }$ and $\frac { 3 } { 4 }$

Accepted Answer

A)  $\frac { 36 } { 47 }$ 
B)  $\frac { 4 } { 5 }$ 
C)  $\frac { 13 } { 12 }$ 
D)  $\frac { 67 } { 115 }$ 
A)  $\frac { 36 } { 47 }$ 
B)  $\frac { 4 } { 5 }$ 
C)  $\frac { 13 } { 12 }$ 
D)  $\frac { 67 } { 115 }$

Question 13

Perform the indicated operation. Express your answer in simplest form.
-$$\frac { 1 } { 2 } + \frac { 9 } { 13 }$$

Accepted Answer

A)  $\frac { 31 } { 26 }$ 
B)  $\frac { 31 } { 2 }$ 
C)  $\frac { 26 } { 31 }$ 
D)  $\frac { 5 } { 13 }$ 
A)  $\frac { 31 } { 26 }$ 
B)  $\frac { 31 } { 2 }$ 
C)  $\frac { 26 } { 31 }$ 
D)  $\frac { 5 } { 13 }$

Question 14

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
-$\frac { - 6 } { 17 } , \frac { - 5 } { 6 }$

Accepted Answer

A)  Equivalent 
B)  $\frac { - 5 } { 6 } , \frac { - 6 } { 17 }$ 
C)  $\frac { - 6 } { 17 ^ { \prime } } \frac { - 5 } { 6 }$ 
A)  Equivalent 
B)  $\frac { - 5 } { 6 } , \frac { - 6 } { 17 }$ 
C)  $\frac { - 6 } { 17 ^ { \prime } } \frac { - 5 } { 6 }$

Question 15

Find the requested fraction.
-$$\frac { - 9 } { 16 } = \frac { ? } { 96 }$$

Accepted Answer

A)  $\frac { - 864 } { 1536 }$ 
B)  $\frac { - 54 } { 96 }$ 
C)  $\frac { - 9 } { 96 }$ 
D)  $\frac { - 144 } { 96 }$ 
A)  $\frac { - 864 } { 1536 }$ 
B)  $\frac { - 54 } { 96 }$ 
C)  $\frac { - 9 } { 96 }$ 
D)  $\frac { - 144 } { 96 }$

Question 16

Answer the question. Give your answer in simplest form.
-Mr. Rivera opened a package of 150 drinking cups for his restaurant. During the day, 47 cups were used. What fraction of the package of cups was used? Express the result using a simple, convenient Fraction that is close in value to the exact answer.

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  $\frac { 1 } { 5 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 3 }$

Question 17

Perform the indicated operation. Express your answer in simplest form.
-$$\frac { 2 } { 29 } + \frac { 3 } { 29 }$$

Accepted Answer

A)  $\frac { 6 } { 29 }$ 
B)  $\frac { 1 } { 29 }$ 
C)  $\frac { 5 } { 58 }$ 
D)  $\frac { 5 } { 29 }$ 
A)  $\frac { 6 } { 29 }$ 
B)  $\frac { 1 } { 29 }$ 
C)  $\frac { 5 } { 58 }$ 
D)  $\frac { 5 } { 29 }$

Question 18

Choose the best estimate from the list.
-$\frac { 107 } { 405 }$ is approximately $\frac { 1 } { 16 } , \frac { 1 } { 8 } , \frac { 1 } { 4 } , \frac { 1 } { 2 }$.

Accepted Answer

A)  $\frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  $\frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 4 }$

Question 19

Find the requested fraction.
-$$\frac { 14 } { 3 } = \frac { ? } { 6 }$$

Accepted Answer

A)  $\frac { 14 } { 6 }$ 
B)  $\frac { 42 } { 6 }$ 
C)  $\frac { 28 } { 6 }$ 
D)  $\frac { 84 } { 18 }$ 
A)  $\frac { 14 } { 6 }$ 
B)  $\frac { 42 } { 6 }$ 
C)  $\frac { 28 } { 6 }$ 
D)  $\frac { 84 } { 18 }$

Question 20

Perform the indicated operation. Express your answer in simplest form.
-$$64 \frac { 1 } { 2 } - 25 \frac { 1 } { 5 }$$

Accepted Answer

A)  $\frac { 3 } { 10 }$ 
B)  $196 \frac { 1 } { 2 }$ 
C)  $39 \frac { 3 } { 10 }$ 
D)  $\frac { 10 } { 393 }$ 
A)  $\frac { 3 } { 10 }$ 
B)  $196 \frac { 1 } { 2 }$ 
C)  $39 \frac { 3 } { 10 }$ 
D)  $\frac { 10 } { 393 }$

Choose the pair of rational numbers that are between the given fractions. - $\frac { - 10 } { 15 }$ and $\frac { - 11 } { 15 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { - 3 } { 4 } , \frac { - 5 } { 8 }$

Answer the question. Give your answer in simplest form. -Julia preheated her oven for 8 minutes. What fraction of an hour was this? (1 hour = 60 min)

Perform the indicated operation. Express your answer in simplest form. - $\frac { 7 } { 4 x } - \frac { 3 } { 4 y }$

Answer the question. Give your answer in simplest form. -A 6-minute egg is cooked for what fraction of an hour? (1 hour = 60 min)

Perform the indicated operation. Express your answer in simplest form. - $\frac { 1 } { 6 } + 1$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 1 } { 3 } , \frac { 13 } { 17 }$

Answer the question. Give your answer in simplest form. -For lunch, Jamie bought a 8-inch submarine sandwich. What fraction of a foot was Jamie's sandwich? (1 foot = 12 inches)

Answer the question. Give your answer in simplest form. - $\text { Since there are seven days in the week, how many days are in } \frac { 4 } { 7 } \text { of a week? }$

Choose the best estimate from the list. - $6 \frac { 1 } { 3 } + 10 \frac { 2 } { 3 }$ is approximately $16,16 \frac { 1 } { 3 } , 16 \frac { 2 } { 3 } , 17$

Choose the rational number that is between the given fractions. - $\frac { 18 } { 23 }$ and $\frac { 3 } { 4 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 1 } { 2 } + \frac { 9 } { 13 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { - 6 } { 17 } , \frac { - 5 } { 6 }$

Find the requested fraction. - $\frac { - 9 } { 16 } = \frac { ? } { 96 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 2 } { 29 } + \frac { 3 } { 29 }$

Choose the best estimate from the list. - $\frac { 107 } { 405 }$ is approximately $\frac { 1 } { 16 } , \frac { 1 } { 8 } , \frac { 1 } { 4 } , \frac { 1 } { 2 }$ .

Find the requested fraction. - $\frac { 14 } { 3 } = \frac { ? } { 6 }$

Perform the indicated operation. Express your answer in simplest form. - $64 \frac { 1 } { 2 } - 25 \frac { 1 } { 5 }$

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 6: Rational Numbers and Proportional Reasoning

Choose the pair of rational numbers that are between the given fractions. - −1015\frac { - 10 } { 15 }15−10​ and −1115\frac { - 11 } { 15 }15−11​

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - −34,−58\frac { - 3 } { 4 } , \frac { - 5 } { 8 }4−3​,8−5​