Question

Question 7
Find ten rationals between $\frac{3}{5}and\frac{3}{4}$.

Answer 1

$\frac{3}{5}and\frac{3}{4}$
LCM of 5 and 4 is 20.
$\therefore \frac{3}{5}\times \frac{4}{4}=\frac{12}{20}and\frac{3}{4}\times \frac{5}{5}=\frac{15}{20}Again\frac{12}{20}\times \frac{8}{8}=\frac{96}{160}and\frac{15}{20}\times \frac{8}{8}=\frac{120}{160}\therefore \text{Five rational numbers between}\frac{3}{5}and\frac{3}{4}are:\frac{97}{160},\frac{98}{160},\frac{99}{160},\frac{100}{160},\frac{101}{160},\frac{102}{160},\frac{103}{160},\frac{104}{160},\frac{105}{160},\frac{106}{160}$