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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