# Find five rational numbers between $\frac{-5}{7} and \frac{-3}{8}$

D Divya Prakash Singh

LCM of 7 and 8 is 56.

Hence we can write given fractions as:

$\frac{-5}{7} = \frac{-5\times8}{7\times8} = \frac{-40}{56}$  and  $\frac{-3}{8} = \frac{-3\times7}{8\times7} = \frac{-21}{56}$

Therefore, we can find five rational numbers between $\frac{-5}{7} and \frac{-3}{8}$.

$\frac{-39}{56},\ \frac{-38}{56},\ \frac{-37}{56},\ \frac{-36}{56},\ and\ \frac{-35}{56}$

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