Question

Express -192\108 as a rational number with numerator -16

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

$\implies \dfrac{-192}{\\\\\ 108}=\dfrac{16}{1296}$

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

$\implies \dfrac{-192}{\\\\\\\\ 108}=\dfrac{-16}{y}$

To find :

$\rm{Express\ -\dfrac{192}{108} \ as\ a\ rational\ number\ with\ numerator\ -16}$  

Solution :

$\rm{The\ expression\ is\ \dfrac{-192}{\\\\\\\\ 108}}$

To make the numerator -16 we have to multiply numerator and denominator by 12.

So,

$\implies \dfrac{-192\times12}{\\\\\\\\\\\ 108\times12}$

$\implies \dfrac{-16}{1296}$

$\implies -\dfrac{16}{1296}$

Therefore, the required rational number is :

$\implies \dfrac{-192}{\\\\\\\\\\ 108}=\dfrac{-16}{\\\\\\\\\\ 1296}$