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





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Rational Numbers

Introduction of Rational Numbers

What is Rational Numbers?

Is Every Rational Number a Natural Number?

Is Zero a Rational Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Positive Rational Number

Negative Rational Number

Equivalent Rational Numbers

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest form of a Rational Number

Standard form of a Rational Number

Equality of Rational Numbers using Standard Form

Equality of Rational Numbers with Common Denominator

Equality of Rational Numbers using Cross Multiplication

Comparison of Rational Numbers

Rational Numbers in Ascending Order

Rational Numbers in Descending Order

Representation of Rational Numbers on the Number Line

Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

Addition of Rational Numbers

Properties of Addition of Rational Numbers

Subtraction of Rational Number with Same Denominator

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Rational Expressions Involving Addition and Subtraction

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Product of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Reciprocal of a Rational  Number

Division of Rational Numbers

Rational Expressions Involving Division

Properties of Division of Rational Numbers

Rational Numbers between Two Rational Numbers

To Find Rational Numbers