Question 1

Choose the pair of rational numbers that are between the given fractions.
-$\frac { 2 } { 5 }$ and $\frac { 3 } { 5 }$

Accepted Answer

A)  $\frac { 7 } { 15 } , \frac { 8 } { 15 }$ 
B)  $\frac { 9 } { 20 } , \frac { 13 } { 20 }$ 
C)  $\frac { 5 } { 10 } , \frac { 7 } { 10 }$ 
D)  $\frac { 6 } { 15 } , \frac { 9 } { 15 }$ 
A)  $\frac { 7 } { 15 } , \frac { 8 } { 15 }$ 
B)  $\frac { 9 } { 20 } , \frac { 13 } { 20 }$ 
C)  $\frac { 5 } { 10 } , \frac { 7 } { 10 }$ 
D)  $\frac { 6 } { 15 } , \frac { 9 } { 15 }$

Question 2

Write the fraction in simplest form.
-$\frac { 24 } { 174 }$

Accepted Answer

A)  $\frac { 29 } { 4 }$ 
B)  $\frac { 4 } { 29 }$ 
C)  $\frac { 173 } { 23 }$ 
D)  $\frac { 1 } { 7 }$ 
A)  $\frac { 29 } { 4 }$ 
B)  $\frac { 4 } { 29 }$ 
C)  $\frac { 173 } { 23 }$ 
D)  $\frac { 1 } { 7 }$

Question 3

Write the fraction in simplest form.
-$\frac { - 118 } { 148 }$

Accepted Answer

A)  $\frac { 59 } { 74 }$ 
B)  $\frac { - 59 } { 74 }$ 
C)  $\frac { - 74 } { 59 }$ 
D)  $\frac { 49 } { 39 }$ 
A)  $\frac { 59 } { 74 }$ 
B)  $\frac { - 59 } { 74 }$ 
C)  $\frac { - 74 } { 59 }$ 
D)  $\frac { 49 } { 39 }$

Question 4

Change the following fraction to a mixed number.
-$\frac { 19 } { 3 }$

Accepted Answer

A)  $6 \frac { 1 } { 7 }$ 
B)  $6 \frac { 1 } { 3 }$ 
C)  $7 \frac { 1 } { 3 }$ 
D)  $5 \frac { 1 } { 3 }$ 
A)  $6 \frac { 1 } { 7 }$ 
B)  $6 \frac { 1 } { 3 }$ 
C)  $7 \frac { 1 } { 3 }$ 
D)  $5 \frac { 1 } { 3 }$

Question 5

Answer the question. Give your answer in simplest form.
-Mrs. Delgado used 4 eggs when she baked bread for a bake sale. What fraction of a dozen eggs did she use? (1 dozen = 12)

Accepted Answer

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

Question 6

Provide the proper response. Show all fractions in simplest form.
-Write a fraction to represent the shaded portion of the figure.

Accepted Answer

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

Question 7

Find the requested fraction.
-Which fraction is equal to $\frac { 6 } { 7 }$ ?

Accepted Answer

A)  $\frac { 35 } { 40 }$ 
B)  $\frac { 24 } { 32 }$ 
C)  $\frac { 30 } { 35 }$ 
D)  $\frac { 36 } { 49 }$ 
A)  $\frac { 35 } { 40 }$ 
B)  $\frac { 24 } { 32 }$ 
C)  $\frac { 30 } { 35 }$ 
D)  $\frac { 36 } { 49 }$

Question 8

Perform the indicated operation. Express your answer in simplest form.
-$$\frac { 20 } { 21 } - \frac { 12 } { 19 }$$

Accepted Answer

A)  $\frac { 128 } { 21 }$ 
B)  $\frac { 128 } { 399 }$ 
C)  $\frac { 8 } { 399 }$ 
D)  $\frac { 399 } { 128 }$ 
A)  $\frac { 128 } { 21 }$ 
B)  $\frac { 128 } { 399 }$ 
C)  $\frac { 8 } { 399 }$ 
D)  $\frac { 399 } { 128 }$

Question 9

Answer the question. Give your answer in simplest form.
-A teacher bought a package of 48 markers for her first-grade class. After one school year, 5 markers were still working. What fraction of the package of markers was working? Express the result using A simple, convenient fraction that is close in value to the exact answer.

Accepted Answer

A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 9 }$ 
D)  $\frac { 1 } { 5 }$ 
A)  $\frac { 1 } { 10 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 9 }$ 
D)  $\frac { 1 } { 5 }$

Question 10

Write the fraction in simplest form.
-$\frac { 50 } { 98 }$

Accepted Answer

A)  $\frac { 50 } { 98 }$ 
B)  $\frac { 49 } { 25 }$ 
C)  $\frac { 25 } { 49 }$ 
D)  $\frac { 97 } { 49 }$ 
A)  $\frac { 50 } { 98 }$ 
B)  $\frac { 49 } { 25 }$ 
C)  $\frac { 25 } { 49 }$ 
D)  $\frac { 97 } { 49 }$

Question 11

Write the fraction in simplest form.
-$\frac { \mathrm { C } } { \mathrm { C } }$

Accepted Answer

A)  $\frac { 1 } { \mathrm { C } }$ 
B)  $c ^ { 2 }$ 
C)  $\mathrm { C }$ 
D)  1 
A)  $\frac { 1 } { \mathrm { C } }$ 
B)  $c ^ { 2 }$ 
C)  $\mathrm { C }$ 
D)  1

Question 12

Answer the question. Give your answer in simplest form.
-Jake correctly answered 16 out of 25 questions in Test 1 and 18 out of 25 questions on test 2. On Test 3 he missed 5 out of 27 questions. Which test had the best score?

Accepted Answer

A) Test 2 and Test 3 
B) Test 3 
C) Test 2 
D) Test 1 
A) Test 2 and Test 3 
B) Test 3 
C) Test 2 
D) Test 1

Question 13

Write the fraction in simplest form.
-$\frac { - 6 } { 9 }$

Accepted Answer

A)  $\frac { 8 } { 5 }$ 
B)  $\frac { - 2 } { 3 }$ 
C)  $\frac { - 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$ 
A)  $\frac { 8 } { 5 }$ 
B)  $\frac { - 2 } { 3 }$ 
C)  $\frac { - 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$

Question 14

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
-$\frac { 3 } { 4 } , \frac { 7 } { 9 } , \frac { 5 } { 7 }$

Accepted Answer

A)  $\frac { 7 } { 9 } , \frac { 5 } { 7 } , \frac { 3 } { 4 }$ 
B)  $\frac { 3 } { 4 } , \frac { 5 } { 7 } , \frac { 7 } { 9 }$ 
C)  $\frac { 5 } { 7 } , \frac { 3 } { 4 } , \frac { 7 } { 9 }$ 
A)  $\frac { 7 } { 9 } , \frac { 5 } { 7 } , \frac { 3 } { 4 }$ 
B)  $\frac { 3 } { 4 } , \frac { 5 } { 7 } , \frac { 7 } { 9 }$ 
C)  $\frac { 5 } { 7 } , \frac { 3 } { 4 } , \frac { 7 } { 9 }$

Question 15

Choose the best estimate from the list.
-$26 \frac { 25 } { 49 } - 25 \frac { 21 } { 82 }$ is approximately $\frac { 1 } { 2 } , 1 \frac { 1 } { 4 } , 1 \frac { 1 } { 2 } , 1 \frac { 3 } { 4 }$

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

Provide the proper response. Show all fractions in simplest form.
-Write a fraction to represent the shaded portion of the figure.

Accepted Answer

A)  $\frac { 5 } { 8 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 5 } { 3 }$ 
D)  $\frac { 3 } { 8 }$ 
A)  $\frac { 5 } { 8 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 5 } { 3 }$ 
D)  $\frac { 3 } { 8 }$

Question 18

Determine whether the fractions are equal.
-$\frac { 4 } { 9 }$ and $\frac { 20 } { 81 }$

Accepted Answer

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

Question 19

Determine whether the fractions are equal.
-$\frac { - 429 } { 924 }$ and $\frac { - 714 } { 1530 }$

Accepted Answer

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

Question 20

Determine whether the fractions are equal.
-$\frac { 1 } { 9 }$ and $\frac { 20 } { 28 }$

Accepted Answer

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

Choose the pair of rational numbers that are between the given fractions. - $\frac { 2 } { 5 }$ and $\frac { 3 } { 5 }$

Write the fraction in simplest form. - $\frac { 24 } { 174 }$

Write the fraction in simplest form. - $\frac { - 118 } { 148 }$

Change the following fraction to a mixed number. - $\frac { 19 } { 3 }$

Answer the question. Give your answer in simplest form. -Mrs. Delgado used 4 eggs when she baked bread for a bake sale. What fraction of a dozen eggs did she use? (1 dozen = 12)

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$

Find the requested fraction. -Which fraction is equal to $\frac { 6 } { 7 }$ ?

Perform the indicated operation. Express your answer in simplest form. - $\frac { 20 } { 21 } - \frac { 12 } { 19 }$

Write the fraction in simplest form. - $\frac { 50 } { 98 }$

Write the fraction in simplest form. - $\frac { \mathrm { C } } { \mathrm { C } }$

Answer the question. Give your answer in simplest form. -Jake correctly answered 16 out of 25 questions in Test 1 and 18 out of 25 questions on test 2. On Test 3 he missed 5 out of 27 questions. Which test had the best score?

Write the fraction in simplest form. - $\frac { - 6 } { 9 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 3 } { 4 } , \frac { 7 } { 9 } , \frac { 5 } { 7 }$

Choose the best estimate from the list. - $26 \frac { 25 } { 49 } - 25 \frac { 21 } { 82 }$ is approximately $\frac { 1 } { 2 } , 1 \frac { 1 } { 4 } , 1 \frac { 1 } { 2 } , 1 \frac { 3 } { 4 }$

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

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$

Determine whether the fractions are equal. - $\frac { 4 } { 9 }$ and $\frac { 20 } { 81 }$

Determine whether the fractions are equal. - $\frac { - 429 } { 924 }$ and $\frac { - 714 } { 1530 }$

Determine whether the fractions are equal. - $\frac { 1 } { 9 }$ and $\frac { 20 } { 28 }$

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. - 25\frac { 2 } { 5 }52​ and 35\frac { 3 } { 5 }53​

Write the fraction in simplest form. - 24174\frac { 24 } { 174 }17424​

Write the fraction in simplest form. - −118148\frac { - 118 } { 148 }148−118​

Change the following fraction to a mixed number. - 193\frac { 19 } { 3 }319​

Answer the question. Give your answer in simplest form. -Mrs. Delgado used 4 eggs when she baked bread for a bake sale. What fraction of a dozen eggs did she use? (1 dozen = 12)

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.

Find the requested fraction. -Which fraction is equal to 67\frac { 6 } { 7 }76​ ?

Perform the indicated operation. Express your answer in simplest form. - 2021−1219\frac { 20 } { 21 } - \frac { 12 } { 19 }2120​−1912​

Write the fraction in simplest form. - 5098\frac { 50 } { 98 }9850​

Write the fraction in simplest form. - CC\frac { \mathrm { C } } { \mathrm { C } }CC​

Answer the question. Give your answer in simplest form. -Jake correctly answered 16 out of 25 questions in Test 1 and 18 out of 25 questions on test 2. On Test 3 he missed 5 out of 27 questions. Which test had the best score?

Write the fraction in simplest form. - −69\frac { - 6 } { 9 }9−6​

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - 34,79,57\frac { 3 } { 4 } , \frac { 7 } { 9 } , \frac { 5 } { 7 }43​,97​,75​

Choose the best estimate from the list. - 262549−25218226 \frac { 25 } { 49 } - 25 \frac { 21 } { 82 }264925​−258221​ is approximately 12,114,112,134\frac { 1 } { 2 } , 1 \frac { 1 } { 4 } , 1 \frac { 1 } { 2 } , 1 \frac { 3 } { 4 }21​,141​,121​,143​

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.

Determine whether the fractions are equal. - 49\frac { 4 } { 9 }94​ and 2081\frac { 20 } { 81 }8120​

Determine whether the fractions are equal. - −429924\frac { - 429 } { 924 }924−429​ and −7141530\frac { - 714 } { 1530 }1530−714​

Determine whether the fractions are equal. - 19\frac { 1 } { 9 }91​ and 2028\frac { 20 } { 28 }2820​

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

Choose the pair of rational numbers that are between the given fractions. - $\frac { 2 } { 5 }$ and $\frac { 3 } { 5 }$

Write the fraction in simplest form. - $\frac { 24 } { 174 }$

Write the fraction in simplest form. - $\frac { - 118 } { 148 }$

Change the following fraction to a mixed number. - $\frac { 19 } { 3 }$

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$

Find the requested fraction. -Which fraction is equal to $\frac { 6 } { 7 }$ ?

Perform the indicated operation. Express your answer in simplest form. - $\frac { 20 } { 21 } - \frac { 12 } { 19 }$

Write the fraction in simplest form. - $\frac { 50 } { 98 }$

Write the fraction in simplest form. - $\frac { \mathrm { C } } { \mathrm { C } }$

Write the fraction in simplest form. - $\frac { - 6 } { 9 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 3 } { 4 } , \frac { 7 } { 9 } , \frac { 5 } { 7 }$

Choose the best estimate from the list. - $26 \frac { 25 } { 49 } - 25 \frac { 21 } { 82 }$ is approximately $\frac { 1 } { 2 } , 1 \frac { 1 } { 4 } , 1 \frac { 1 } { 2 } , 1 \frac { 3 } { 4 }$

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$

Determine whether the fractions are equal. - $\frac { 4 } { 9 }$ and $\frac { 20 } { 81 }$

Determine whether the fractions are equal. - $\frac { - 429 } { 924 }$ and $\frac { - 714 } { 1530 }$

Determine whether the fractions are equal. - $\frac { 1 } { 9 }$ and $\frac { 20 } { 28 }$