 # Worksheet on Standard Form of a Rational Number | Class 8 Rational Numbers in Standard Form Worksheet

Looking for help on the Rational Number Standard Form Concept? You have reached the right destination as you can make use of the Worksheet on Standard Form of a Rational Number free of cost. To help you ace up your preparation level we have provided the Example Questions in Rational Numbers Standard Form Worksheet. Practice the Rational Numbers Worksheets so that you don’t miss out on any concept.

A Rational Number is said to be in Standard Form if the HCF of numerator and denominator is 1 and denominator is positive. You will better understand how to convert Rational Numbers to Standard Form with the example problems listed as you will get step by step solution.

1. Find the Standard Form of Rational Number -18/27?

Solution:

To find the Standard Form of a Rational Number -18/27

Simply Divide the Rational Number with the HCF of absolute values of Numerator and Denominator.

HCF(18, 27) = 9

-18/27 = (-18·9)/(27·9)

= -2/3

Standard Form of a Rational Number -18/27 is -2/3.

2. Express the Rational Number 4/21in Standard Form?

Solution:

Rational Number 4/21 itself is in Standard Form as it has no common factors other than 1.

3. Which of the following Rational Numbers is in Standard Form?

a) 1/5 b) -2/8 c) 6/4 d) 5/10

Solution:

a)

Rational Number 1/5 in its Standard Form as the HCF(1, 5) = 1 and the denominator is positive. The rest of the options have common factors other than 1 and need to be simplified in order to make them in Standard Form.

4. Fill in the Blank

5/45 = …../9

Solution:

Given Rational Number 5/45

To make it to standard form simply divide the numerator and denominator with HCF

HCF(5, 45) = 5

5/45 = (5·5)/(45·5) = 1/9

5. Write each of the following Rational Numbers to Standard Form?

Write each of the following rational numbers in the standard form:

(i) 3/18 (ii) 20/-44

Solution:

(i) Given Rational Number is 3/18

HCF(3, 18) = 3

Divide 3/18 with the HCF

3/18 = (3·3)/(18·3)

= 1/6

(ii) Given Rational Number is 20/-44

Rearrange the Denominator to make it positive

20/-44 = 20*(-1)/-44*(-1)

=-20/44

Find the HCF of absolute values of Numerator and Denominator

HCF(20, 44) = 4

-20/44 = (-20·4)/(44·4)

= -5/11