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26 April, 2016

Standard form of a Rational number

What is the standard form of a rational number?

A rational number a/b is said to be in the standard form if b is positive, and the integers a and b have no common divisor other than 1.
How to convert a rational number into standard form?

In order to express a given rational number in the standard form, we follow the following steps:

  Step I: Check whether the denominator of the rational number is positive or not. If it is negative, multiply or divide numerator and denominator both by -1 so that denominator becomes positive.

 Step II: Find the greatest common divisor (GCD) of the absolute values of the numerator and the denominator.

 Step III: Divide the numerator and denominator of the given rational number by the GCD (HCF) obtained in step II.

 The rational number so obtained is the standard form of the given rational number.

 

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