Question 31

In the following question, fill in the blanks with correct symbol >, < or =.

$\frac{7}{- 8}$ ___ $\frac{8}{9}$

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Solution

Given rational numbers are $\frac{7}{- 8}$ and $\frac{8}{9}$
Since, $\frac{7}{- 8} = \frac{- 7}{8}$ is negative rational number and $\frac{8}{9}$ is a positive rational number.
Also, every positive rational number is greater than the negative rational number.
Hence, $\frac{7}{- 8} < \frac{8}{9}$

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