Question

Find five rational numbers between $-\frac{3}{5}$ & $-\frac{3}{4}$

Answer 1

Making the denominators same
$-\frac{3}{5}\times \frac{4}{4}=-\frac{12}{20}$
$-\frac{3}{4}\times \frac{5}{5}=-\frac{15}{20}$
Since, we need to find five rational numbers, we multiply by 6
$-\frac{12}{20}\times \frac{6}{6}=-\frac{72}{120}$
$-\frac{15}{20}\times \frac{6}{6}=\frac{90}{120}$
Thus, six rational numbers are :
$\frac{73}{120},\frac{74}{120},\frac{75}{120},\frac{76}{120},\frac{77}{120}$