Worksheet on Equivalent Rational Numbers

Practice the questions given in the worksheet on equivalent rational numbers. We know, to convert a rational number to an equivalent rational number, either multiply or divide both its numerator and denominator by a non-zero integer.

1. Express each of the following as a rational number with positive denominator:

(i) 15/(-28)

(ii) 6/(-9)

(iii) -28/(-11)

(iv) 19/(-7)

2. Express 3/5 as a rational number with numerator:

(i) 6

(ii) -15

(iii) 21

(iv) -27

3. Express (-3)/5 as a rational number with denominator.

(i) 20

(ii) -30

(iii) 35

(iv) -40

4. Express 5/7 as a rational number with denominator:

(i) -14

(ii) 70

(iii) -28

(iv) -84

5. Express 3/4 as a rational number with denominator:

(i) 20

(ii) 36

(iii) 44

(iv) -80

6. Express 2/5 as a rational number with numerator

(i) -56

(ii) 154

(iii) -750

(iv) 500

7. Express (-192)/108 as a rational number with numerator:

(i) 64

(ii) -16

(iii) 32

(iv) -48

8. Express 168/(-294) as a rational number with denominator :

(i) 14

(ii) -7

(iii) -49

(iv) 1470

9. Write (-14)/42 in a form so that the numerator is equal to:

(i) -2

(ii) 7

(iii) 42

(iv) -70

10. Express (-42)/98 as a rational number with denominator 7.

11. Express (-48)/60 as a rational number with denominator 5.

12. Select those rational numbers which can be written as a rational number with numerator 6:
1/22, 2/3, 3/4, 4/(-5), 5/6, (-6)/7, (-7)/8

13. Select those rational numbers which can be written as a rational number with denominator 4:

7/8, 64/16, 36/(-12), (-16)/17, 5/(-4), 140/28

14. In each of the following, find an equivalent form of the rational number having a common denominator:

(i) 3/4 and 5/12

(ii) 2/3, 7/6 and 11/12

(iii) 5/7, 3/8, 9/14 and 20/21

Answers for the worksheet on equivalent rational numbers are given below to check the exact answers of the above questions on converting a rational number to its equivalent rational number.

Answers:

1. (i) 15

(ii) (-6)/9

(iii) 28/11

(iv) (-19)/7

2. (i) 6/10

(ii) (-15)/(-25)

(iii) 21/35

(iv) (-27)/(-45)

3. (i) (-12)/20

(ii) 18/(-30)

(iii) (-21)/35

(iv) 24/(-40)

4. (i) (-10)/(-14)

(ii) 50/70

(iii) (-20)/28

(iv) (-60)/(-84)

5. (i) 15/20

(ii) 27/36

(iii) 33/44

(iv) (-60)/(-80)

6. (i) (-56)/(-140)

(ii) 154/385

(iii) (-750)/(-1875)

(iv) 500/1250

7. (i) 64/(-36)

(ii) (-16)/9

(iii) 32/(-18)

(iv) (-48)/27

8. (i) (-8)/14

(ii) 4/(-7)

(iii) 28/(-49)

(iv) (-840)/1470

9. (i) (-2)/6

(ii) 7/(-21)

(iii) 42/(-126)

(iv) (-70)/210

10. (-3)/7

11. (-4)/5

12. 1/22, 2/3, 3/4, (-6)/7

13. 7/8, 64/16, 36/(-12), 5/(-4), 140/28

14. (i) 9/12 and 5/12

(ii) 8/12, 14/12 and 11/12

(iii) 120/168, 63/168, 108/168 and 160/168

● Rational Numbers - Worksheets

Worksheet on Rational Numbers

Worksheet on Equivalent Rational Numbers

Worksheet on Lowest form of a Rational Number

Worksheet on Standard form of a Rational Number

Worksheet on Equality of Rational Numbers

Worksheet on Comparison of Rational Numbers

Worksheet on Representation of Rational Number on a Number Line

Worksheet on Adding Rational Numbers

Worksheet on Properties of Addition of Rational Numbers

Worksheet on Subtracting Rational Numbers

Worksheet on Addition and Subtraction of Rational Number

Worksheet on Rational Expressions Involving Sum and Difference

Worksheet on Multiplication of Rational Number

Worksheet on Properties of Multiplication of Rational Numbers

Worksheet on Division of Rational Numbers

Worksheet on Properties of Division of Rational Numbers

Worksheet on Finding Rational Numbers between Two Rational Numbers

Worksheet on Word Problems on Rational Numbers

Worksheet on Operations on Rational Expressions

Objective Questions on Rational Numbers

Math Homework Sheets

8th Grade Math Practice

From Worksheet on Equivalent Rational Numbers to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Facebook X Pinterest WhatsApp Messenger

[?]Subscribe To This Site

$XML RSS$

Recent Articles

2nd Grade Geometry Worksheet | Plane and Solid Shapes | Point | Line
Dec 11, 24 09:08 AM
$Curved Line and Straight Line$
2nd grade geometry worksheet
Read More
Types of Lines |Straight Lines|Curved Lines|Horizontal Lines| Vertical
Dec 09, 24 10:39 PM
$Types of Lines$
What are the different types of lines? There are two different kinds of lines. (i) Straight line and (ii) Curved line. There are three different types of straight lines. (i) Horizontal lines, (ii) Ver…
Read More
Points and Line Segment | Two Points in a Curved Surface | Curve Line
Dec 09, 24 01:08 AM
$Curved Lines and Straight Line$
We will discuss here about points and line segment. We know when two lines meet we get a point. When two points on a plane surface are joined, a straight line segment is obtained.
Read More
Solid Shapes | Basic Geometric Shapes | Common Solid Figures | Plane
Dec 08, 24 11:19 PM
$Solid Shapes$
We will discuss about basic solid shapes. We see a variety of solid objects in our surroundings. Solid objects have one or more shapes like the following. Match the objects with similar shape.
Read More
2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic
Dec 07, 24 03:38 PM
$2nd Grade Math Worksheet$
2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students.
Read More