# Find five rational numbers between 3/5 and 4/5?

The given numbers

$\frac{3}{5} and \frac{4}{5}$

now multiply the numerator and denominator by 6 in both numbers

$\frac{3}{5} = \frac{3}{5}\times \frac{6}{6} = \frac{18}{30}$

$\frac{4}{5} = \frac{4}{5} \times \frac{6}{6} = \frac{24}{30}$

therefore, five rational number between

$\frac{3}{5} and \frac{4}{5} i.e. (\frac{18}{30} and \frac{24}{30})$

is                       $\frac{19}{30}, \frac{20}{30}, \frac{21}{30}, \frac{22}{30}, \frac{23}{30}$

Hence, five rational  numbers are

$\frac{19}{30}, \frac{20}{30}, \frac{21}{30}, \frac{22}{30}, \frac{23}{30}$

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