Q. 44.1( 22 Votes )

Express each of the following rational numbers in standard form:

(i) (ii) (iii) (iv)

Answer :

A rational number is in standard or simplest or lowest form when-


1. Numerator and denominator have only 1 as its highest common factor.


2. Denominator is a positive integer.


(i) The HCF of 12 and 30 is 6


Therefore,




(ii) The HCF of 49 and 14 is 7


Therefore,




(iii) The HCF of 24 and 64 is 8


Therefore,




In order, to make the denominator positive, multiply both numerator and denominator by -1




(iv) The HCF of 36 and 63 is 9


Therefore,




In order, to make the denominator positive, multiply both numerator and denominator by -1




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