Question

Mark the correct alternative in each of the following:

$-\frac{102}{119}$ in standard form is

(a) $-\frac{6}{7}$ (b) $\frac{6}{7}$ (c) $-\frac{6}{17}$ (d) None of these

Answer 1

The denominator of the rational number $-\frac{102}{119}$ is positive.

In order to write the rational number in standard form, divide its numerator and denominator by the HCF of 102 and 119.

HCF of 102 and 119 = 17

Dividing the numerator and denominator of $-\frac{102}{119}$ by 17, we have

$-\frac{102}{119}=-\frac{102÷17}{119÷17}=-\frac{6}{7}$

Thus, the standard form of $-\frac{102}{119}$ is $-\frac{6}{7}$.

Hence, the correct answer is option (a).