Compare $\frac{2}{7}$ and $\frac{-3}{-8}$.

To do: Compare  $\frac{2}{7}$ and $\frac{-3}{-8}$.

Solution:

 $\frac{2}{7}$ and $\frac{-3}{-8}$.  are same as  $\frac{2}{7}$ and $\frac{3}{8}$.
 [as minus signs cancel off]

$\frac{2}{7} = \frac{2\times8}{7\times8}=1\frac{6}{56}$;

$\frac{3}{8} = \frac{3\times7}{8\times7} = \frac{21}{56}$

As $16 < 21$, $\frac{16}{56} < \frac{21}{56}$  or  $\frac{2}{7} < \frac{3}{8}$

$\frac{2}{7} < \frac{3}{8}$ is the answer

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Updated on: 10-Oct-2022

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