Standard Form of Rational Numbers


 
 
Concept Explanation
 

Standard Form of Rational Numbers

Standard Form of Rational Numbers:

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.

Example: Express -9/24 in standard form.

Solution:  (-9)/24

The denominator of the rational number −9/24

is positive. In order to express it in standard form, we divide its numerator and denominator by the greatest common divisor of 9 and 24 is 3.

Dividing the numerator and denominator of −9/24

by 3, we get

−9/24

= [(−9)÷3]/[24÷3] = −3/8

Thus, the standard form of −9/24 is −3/8

.

 

 

 

Sample Questions
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Question : 1

The standard form of large frac{18}{-24} is

Right Option : D
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Explanation
Question : 2

Express the following numbers in standard form :

1. frac{-247}{-228}

2. frac{299}{-161}

Right Option : D
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Explanation
Question : 3

Express the following rational numbers in the standard form :

1. frac{-8}{28}

2. frac{-12}{-30}

 

Right Option : C
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Explanation
 
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