Find the simplest form of the rational number -18-12-

Dividing the numerator and denominator of the rational number 18/12 by the HCF of 12 and 18 (which is 6), we get 18/12= 18÷ 6/12÷ 6= 3/2= 3/2. The HCF of 2 an ...

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Standard VIII

Mathematics

Standard Form of a Rational Number

Find the simp...

Question

Find the simplest form of the rational number $- \frac{18}{12}$ .

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Solution

Dividing the numerator and denominator of the rational number $- \frac{18}{12}$ by the HCF of 12 and 18 (which is 6), we get
$\frac{- 18}{12} = \frac{- 18 \div 6}{12 \div 6} = \frac{- 3}{2} = - \frac{3}{2} .$
The HCF of 2 and 3 is 1.
Thus, $- \frac{3}{2}$ is the simplest and standard form of the rational number $- \frac{18}{12} .$

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Find the simplest form of the rational number −1812.

Dividing the numerator and denominator of the rational number −1812 by the HCF of 12 and 18 (which is 6), we get −1812=−18÷612÷6=−32=−32. The HCF of 2 and 3 is 1. Thus, −32 is the simplest and standard form of the rational number −1812.

Find the simplest form of the rational number $- \frac{18}{12}$ .