# Worksheet on Equivalent Rational Numbers | Grade 8 Equivalent Rational Numbers Worksheet

Do you feel difficulty understanding the concept of Equivalent Rational Numbers? Not anymore as you can take the help of our Worksheet on Equivalent Rational Number covering numerous examples. Practice the questions in the Class 8 Worksheet for Equivalent Rational Numbers and learn how to solve problems on your own. You can find Numerous Questions asked in the Rational Numbers Worksheets and learn various topics effectively.

Try Solving the Example Questions on your own and cross-check the solutions to understand where you lag and prepare accordingly. Detailed Explanation is provided for a better understanding of the concept.

1. Are 4/8 and 6/12 Equivalent Rational Numbers?

Solution:

If Two Numbers are Equivalent Rational Numbers then the product obtained by cross multiplying them would be equal

4*12 = 48

8*6 = 48

Therefore, 4/8 and 6/12 are Equivalent Rational Numbers.

2. Express Rational Number 8/5 with a Numerator 56?

Solution:

In Order to Express Rational Number 8/5 with a Numerator 56

Numerator = 56

To make the rational number 8/5 with a numerator 56 firstly we need to divide the 56 by 8 i.e. 7

Multiply with 7 both the numerator and denominator of rational number 8/5

= 8/5*7/7

= 56/35

Thus, Rational Number 8/5 can be expressed as 56/35 with a numerator 56.

3. Are 3/7 and 4/5 Equivalent Rational Numbers?

Solution:

If Two Numbers are Equivalent Rational Numbers then the product obtained by cross multiplying them would be equal.

3*5 = 15

7*4 = 28

Thus 15 ≠ 28

Therefore, 3/7 and 4/5 are Not Equivalent Rational Numbers.

4. Express Rational Number 3/7 with a Denominator 49?

Solution:

To write the rational number 3/7 with a denominator 49

we need to find the number that when multiplied results in denominator 49

49/7 = 7

Multiply with 7 both the numerator and denominator of the rational number 3/7

= 3/7*7/7

= 3*7/7*7

= 21/49

5. If p/q = m/n then which of the following is true is always true?

a)n/m = p/q b)p*q=m*n c)p/n = m/q d)p*n = m*q

Solution:

d)p*n=m*q

If Two Numbers are Equivalent Rational Numbers then the product obtained by cross multiplying them would be equal.

6. A Rational Number Equivalent to 2/1 is

a)10/-5 b)10/5 c)-10/5 d) None of the above

Solution:

b) 10/5

2/1 = 2*5/1*5

= 10/5

Therefore Rational Number Equivalent to 2/1 is 10/5

7. What is the Rational Number Equivalent to 5/8

a)25/40 b) 25/-40 c)-25/40 d)None of the above

Solution:

a) 25/40

5/8 = 5*5/8*5

= 25/40

Rational Number Equivalent to 5/8 is 25/40

8. Fill in the blank to make Two Rational Numbers Equivalent

a) 4/7 = …./56

Solution:

32

In order to make the Rational Number 4/7 with denominator 56 we have

4/7 *8/8 = 32/56

Therefore, 4/7 is Equivalent to the Rational Number 32/56.

9. If 1/x = -x/1 then x is ……..

a) Whole Number b) Natural Number c) Rational Number d) Not a Rational Number

Solution:

d) Not a Rational Number

1/x= -x/1

-x2 = 1
x2 = -1
x= √ -1

Therefore, x is not a Rational Number.

10. Select the rational numbers which can be written as a rational number with denominator 4 from the following

7/3, 64/11, 30/(-12), (-16)/17, 5/(-4), 140/28

Solution:

30/(-12), 5/(-4), 140/28

Since all the above options can be rearranged to get a Rational Number with the Denominator 4.