# 7. Find ten rational numbers between  $\frac{3}{5}$ and $\frac{3}{4}$.

Finding rational numbers between $\frac{3}{5}$ and $\frac{3}{4}$ is equivalent to find rational numbers between rational numbers between  $\frac{12}{20}$ and  $\frac{15}{20}$ ,since these numbers are obtained by just making their denomenators equal.

Further it is equivalent to find rational number between $\frac{96}{160}$ and $\frac{120}{160}$

(We obtained above numbers by multiplying and dividing numbers by 8 to create differnce of atleast 10 numbers).

Thus required numbers are $\frac{97}{160},\frac{98}{160},\frac{99}{160},........,\frac{106}{160}$

Alternate:- Rational numbers can also be found by taking mean of the given numbers and the newly obtained number.

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