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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

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