Question 1

Determine whether the fractions are equal.
-$\frac { 2 } { - 4 }$ and $\frac { - 18 } { 36 }$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No A

Question 2

$\text { Change the following mixed number to a fraction in the form } \frac { a } { b } \text {, where } a \text { and } b \text { are integers and } b \neq 0 \text {. }$
-$3 \frac { 2 } { 3 }$

Accepted Answer

A)  $\frac { 9 } { 2 }$ 
B)  $\frac { 11 } { 2 }$ 
C)  $\frac { 11 } { 3 }$ 
D)  $\frac { 9 } { 3 }$ 
A)  $\frac { 9 } { 2 }$ 
B)  $\frac { 11 } { 2 }$ 
C)  $\frac { 11 } { 3 }$ 
D)  $\frac { 9 } { 3 }$ C

Question 3

Perform the indicated operation. Express your answer in simplest form.
-$\frac { 2 } { 8 } + \frac { 1 } { 8 }$

Accepted Answer

A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 3 } { 16 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 3 } { 8 }$ 
A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 3 } { 16 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 3 } { 8 }$ D

Question 4

Write the fraction in simplest form.
-$\frac { - 70 } { 88 }$

Accepted Answer

A)  $\frac { - 44 } { 35 }$ 
B)  $\frac { 35 } { 44 }$ 
C)  $\frac { - 35 } { 44 }$ 
D)  $\frac { 29 } { 23 }$ 
A)  $\frac { - 44 } { 35 }$ 
B)  $\frac { 35 } { 44 }$ 
C)  $\frac { - 35 } { 44 }$ 
D)  $\frac { 29 } { 23 }$

Question 5

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
-$\frac { - 10 } { 25 } , \frac { - 9 } { 10 }$

Accepted Answer

A)  $\frac { - 10 } { 25 } , \frac { - 9 } { 10 }$ 
B)  $\frac { - 9 } { 10 } , \frac { - 10 } { 25 }$ 
C)  Equivalent 
A)  $\frac { - 10 } { 25 } , \frac { - 9 } { 10 }$ 
B)  $\frac { - 9 } { 10 } , \frac { - 10 } { 25 }$ 
C)  Equivalent

Question 6

$\text { Change the following mixed number to a fraction in the form } \frac { a } { b } \text {, where } a \text { and } b \text { are integers and } b \neq 0 \text {. }$
-$- 4 \frac { 3 } { 5 }$

Accepted Answer

A)  $\frac { -23 } { 3 }$ 
B)  $\frac { -23 } { 5 }$ 
C)  $\frac { - 20 } { 3 }$ 
D)  $\frac { - 20 } { 5 }$ 
A)  $\frac { -23 } { 3 }$ 
B)  $\frac { -23 } { 5 }$ 
C)  $\frac { - 20 } { 3 }$ 
D)  $\frac { - 20 } { 5 }$

Question 7

Find the requested fraction.
-$$\frac { 9 } { 14 } = \frac { 18 } { ? }$$

Accepted Answer

A)  $\frac { 18 } { 126 }$ 
B)  $\frac { 18 } { 28 }$ 
C)  $\frac { 18 } { 14 }$ 
D)  $\frac { 162 } { 252 }$ 
A)  $\frac { 18 } { 126 }$ 
B)  $\frac { 18 } { 28 }$ 
C)  $\frac { 18 } { 14 }$ 
D)  $\frac { 162 } { 252 }$

Question 8

Find the requested fraction.
-Which fraction is equal to $\frac { - 1 } { 10 }$ ?

Accepted Answer

A)  $\frac { - 7 } { 77 }$ 
B)  $\frac { - 9 } { 100 }$ 
C)  $\frac { - 16 } { 88 }$ 
D)  $\frac { - 8 } { 80 }$ 
A)  $\frac { - 7 } { 77 }$ 
B)  $\frac { - 9 } { 100 }$ 
C)  $\frac { - 16 } { 88 }$ 
D)  $\frac { - 8 } { 80 }$

Question 9

Determine whether the fractions are equal.
-$\frac { - 6 } { 8 }$ and $\frac { - 13 } { 15 }$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$ 
A)  Yes 
B)  $\mathrm { No }$

Question 10

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 circle as a part of all the dots.

Accepted Answer

A)  $\frac { 3 } { 7 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 7 } { 12 }$ 
A)  $\frac { 3 } { 7 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 7 } { 12 }$

Question 11

Determine whether the fractions are equal.
-$\frac { 1 } { 7 }$ and $\frac { 19 } { 133 }$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 12

Perform the indicated operation. Express your answer in simplest form.
-$\frac { 7 } { 10 } + \frac { 8 } { 9 }$

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 143 } { 90 }$ 
C)  $\frac { 15 } { 19 }$ 
D)  $\frac { 143 } { 19 }$ 
A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 143 } { 90 }$ 
C)  $\frac { 15 } { 19 }$ 
D)  $\frac { 143 } { 19 }$

Question 13

Perform the indicated operation. Express your answer in simplest form.
-$\frac { - 5 } { 7 } + \frac { 1 } { 2 }$

Accepted Answer

A)  $\frac { - 3 } { 14 }$ 
B)  $\frac { - 1 } { 7 }$ 
C)  $\frac { - 14 } { 3 }$ 
D)  $\frac { - 15 } { 7 }$ 
A)  $\frac { - 3 } { 14 }$ 
B)  $\frac { - 1 } { 7 }$ 
C)  $\frac { - 14 } { 3 }$ 
D)  $\frac { - 15 } { 7 }$

Question 14

Write the fraction in simplest form.
-$\frac { 18 x y ^ { 2 } } { 45 x ^ { 2 } y }$

Accepted Answer

A)  $\frac { 2 x } { 5 y }$ 
B)  $\frac { 1 } { 9 x ^ { 2 } y ^ { 2 } }$ 
C)  $10 x ^ { 2 } y ^ { 2 }$ 
D)  $\frac { 2 y } { 5 x }$ 
A)  $\frac { 2 x } { 5 y }$ 
B)  $\frac { 1 } { 9 x ^ { 2 } y ^ { 2 } }$ 
C)  $10 x ^ { 2 } y ^ { 2 }$ 
D)  $\frac { 2 y } { 5 x }$

Question 15

Change the following fraction to a mixed number.
-$- \frac { 832 } { 100 }$

Accepted Answer

A)  $8 \frac { 32 } { 100 }$ 
B)  $- 7 \frac { 32 } { 50 }$ 
C)  $6 \frac { 72 } { 100 }$ 
D)  $5 \frac { 82 } { 100 }$ 
A)  $8 \frac { 32 } { 100 }$ 
B)  $- 7 \frac { 32 } { 50 }$ 
C)  $6 \frac { 72 } { 100 }$ 
D)  $5 \frac { 82 } { 100 }$

Question 16

Perform the indicated operation. Express your answer in simplest form.
-$$\frac { 5 } { 12 } - \frac { 1 } { 7 }$$

Accepted Answer

A)  $\frac { 4 } { 19 }$ 
B)  $\frac { 1 } { 21 }$ 
C)  $\frac { 23 } { 84 }$ 
D)  $\frac { 23 } { 19 }$ 
A)  $\frac { 4 } { 19 }$ 
B)  $\frac { 1 } { 21 }$ 
C)  $\frac { 23 } { 84 }$ 
D)  $\frac { 23 } { 19 }$

Question 17

Perform the indicated operation. Express your answer in simplest form.
-$$\frac { - 4 } { 7 } - \frac { 13 } { 23 }$$

Accepted Answer

A)  $\frac { - 161 } { 183 }$ 
B)  $\frac { 183 } { 7 }$ 
C)  $\frac { - 1 } { 483 }$ 
D)  $\frac { - 183 } { 161 }$ 
A)  $\frac { - 161 } { 183 }$ 
B)  $\frac { 183 } { 7 }$ 
C)  $\frac { - 1 } { 483 }$ 
D)  $\frac { - 183 } { 161 }$

Question 18

Perform the indicated operation. Express your answer in simplest form.
-$\frac { 3 } { 8 } - \frac { 5 } { 9 }$

Accepted Answer

A)  $\frac { - 2 } { 17 }$ 
B)  $\frac { - 1 } { 36 }$ 
C)  $\frac { - 13 } { 72 }$ 
D)  $\frac { - 13 } { 17 }$ 
A)  $\frac { - 2 } { 17 }$ 
B)  $\frac { - 1 } { 36 }$ 
C)  $\frac { - 13 } { 72 }$ 
D)  $\frac { - 13 } { 17 }$

Question 19

Find the requested fraction.
-$$\frac { 1 } { 11 } = \frac { ? } { 66 }$$

Accepted Answer

A)  $\frac { 11 } { 66 }$ 
B)  $\frac { 66 } { 726 }$ 
C)  $\frac { 6 } { 66 }$ 
D)  $\frac { 1 } { 66 }$ 
A)  $\frac { 11 } { 66 }$ 
B)  $\frac { 66 } { 726 }$ 
C)  $\frac { 6 } { 66 }$ 
D)  $\frac { 1 } { 66 }$

Question 20

Write the fraction in simplest form.
-$$\frac { 190 } { 192 }$$

Accepted Answer

A)  $\frac { 191 } { 193 }$ 
B)  $\frac { 96 } { 95 }$ 
C)  $\frac { 95 } { 96 }$ 
D)  $\frac { 191 } { 189 }$ 
A)  $\frac { 191 } { 193 }$ 
B)  $\frac { 96 } { 95 }$ 
C)  $\frac { 95 } { 96 }$ 
D)  $\frac { 191 } { 189 }$

Determine whether the fractions are equal. - $\frac { 2 } { - 4 }$ and $\frac { - 18 } { 36 }$

$\text { Change the following mixed number to a fraction in the form } \frac { a } { b } \text {, where } a \text { and } b \text { are integers and } b \neq 0 \text {. }$ - $3 \frac { 2 } { 3 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 2 } { 8 } + \frac { 1 } { 8 }$

Write the fraction in simplest form. - $\frac { - 70 } { 88 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { - 10 } { 25 } , \frac { - 9 } { 10 }$

$\text { Change the following mixed number to a fraction in the form } \frac { a } { b } \text {, where } a \text { and } b \text { are integers and } b \neq 0 \text {. }$ - $- 4 \frac { 3 } { 5 }$

Find the requested fraction. - $\frac { 9 } { 14 } = \frac { 18 } { ? }$

Find the requested fraction. -Which fraction is equal to $\frac { - 1 } { 10 }$ ?

Determine whether the fractions are equal. - $\frac { - 6 } { 8 }$ and $\frac { - 13 } { 15 }$

Determine whether the fractions are equal. - $\frac { 1 } { 7 }$ and $\frac { 19 } { 133 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 7 } { 10 } + \frac { 8 } { 9 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { - 5 } { 7 } + \frac { 1 } { 2 }$

Write the fraction in simplest form. - $\frac { 18 x y ^ { 2 } } { 45 x ^ { 2 } y }$

Change the following fraction to a mixed number. - $- \frac { 832 } { 100 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 5 } { 12 } - \frac { 1 } { 7 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { - 4 } { 7 } - \frac { 13 } { 23 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 3 } { 8 } - \frac { 5 } { 9 }$

Find the requested fraction. - $\frac { 1 } { 11 } = \frac { ? } { 66 }$

Write the fraction in simplest form. - $\frac { 190 } { 192 }$

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

Determine whether the fractions are equal. - 2−4\frac { 2 } { - 4 }−42​ and −1836\frac { - 18 } { 36 }36−18​

Perform the indicated operation. Express your answer in simplest form. - 28+18\frac { 2 } { 8 } + \frac { 1 } { 8 }82​+81​

Write the fraction in simplest form. - −7088\frac { - 70 } { 88 }88−70​

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - −1025,−910\frac { - 10 } { 25 } , \frac { - 9 } { 10 }25−10​,10−9​

Find the requested fraction. - 914=18?\frac { 9 } { 14 } = \frac { 18 } { ? }149​=?18​

Find the requested fraction. -Which fraction is equal to −110\frac { - 1 } { 10 }10−1​ ?

Determine whether the fractions are equal. - −68\frac { - 6 } { 8 }8−6​ and −1315\frac { - 13 } { 15 }15−13​

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 circle as a part of all the dots.

Determine whether the fractions are equal. - 17\frac { 1 } { 7 }71​ and 19133\frac { 19 } { 133 }13319​

Perform the indicated operation. Express your answer in simplest form. - 710+89\frac { 7 } { 10 } + \frac { 8 } { 9 }107​+98​

Perform the indicated operation. Express your answer in simplest form. - −57+12\frac { - 5 } { 7 } + \frac { 1 } { 2 }7−5​+21​

Write the fraction in simplest form. - 18xy245x2y\frac { 18 x y ^ { 2 } } { 45 x ^ { 2 } y }45x2y18xy2​

Change the following fraction to a mixed number. - −832100- \frac { 832 } { 100 }−100832​

Perform the indicated operation. Express your answer in simplest form. - 512−17\frac { 5 } { 12 } - \frac { 1 } { 7 }125​−71​

Perform the indicated operation. Express your answer in simplest form. - −47−1323\frac { - 4 } { 7 } - \frac { 13 } { 23 }7−4​−2313​

Perform the indicated operation. Express your answer in simplest form. - 38−59\frac { 3 } { 8 } - \frac { 5 } { 9 }83​−95​

Find the requested fraction. - 111=?66\frac { 1 } { 11 } = \frac { ? } { 66 }111​=66?​

Write the fraction in simplest form. - 190192\frac { 190 } { 192 }192190​