Question

What is the equivalent rational number for $\frac{-15}{36}$ with numerator -75 ?

• A. $-\frac{75}{36}$
• B. $-\frac{75}{130}$
• C. $-\frac{180}{75}$
• D. $-\frac{75}{180}$

Answer 1

The correct option is D $-\frac{75}{180}$

The numerator and denominator of the rational number $-\frac{15}{36}$ should be multiplied by 5 to obtain an equivalent rational number for it with numerator -75.
i.e.,
$-\frac{15}{36}=\frac{-15\times 5}{36\times 5}$ = $-\frac{75}{180}$