Class 7 Maths Rational Numbers Rational Numbers in Standard Form

Rational Numbers in Standard Form

A rational number is said to be in the standard form if its denominator is a positive integer and the numerator and denominator have no common factor other than 1.

If a rational number is not in the standard form, then it can be reduced to the standard form.

To reduce the rational number to its standard form, we divided the numerator and the denominator of the fraction by the same non zero positive integer. Also dividing its numerator and denominator by their

HCF ignoring the negative sign, if any, we can reduce the rational number to its standard form.

Problem: Rewrite the following rational numbers in the simplest form:

(i) -8/6    (ii) 25/45   (iii) -44/72   (iv) -8/10

Solution:

(i) -8/6 = -4/3                      [8 and 6 are divided by 2]                  

(ii) 25/45 = 5/9                   [25 and 45 are divided by 5]                   

(iii) -44/72 = -11/18           [44 and 72 are divided by 4]             

(iv) -8/10 = -4/5                 [8 and 10 are divided by 2]

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