question_answer

Find ten rational numbers between \[\frac{3}{5}\]and\[\frac{3}{4}\].

Answer:

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 \[\frac{15}{20}\times \frac{8}{8}=\frac{120}{160}\]

\[\therefore \] Ten rational numbers between \[\frac{3}{5}\]and \[\frac{3}{4}\]are

\[\frac{103}{160},\frac{104}{160},\frac{105}{160},\frac{106}{160}\frac{103}{160},\frac{104}{160},\frac{105}{160},\frac{106}{160}\]