in rational no. what is greater -8/5 or -7/4

And L.C.M of 5 and 4 = 20

Now making the denominator of both fractions common as;

$\frac{-8}{5}=\frac{-8}{5}\times \frac{4}{4}=\frac{-32}{20}\phantom{\rule{0ex}{0ex}}\mathrm{and}\frac{-7}{4}=\frac{-7}{4}\times \frac{5}{5}=\frac{-35}{20}$

Now since the denominator is same, so the fraction having greater numerator is greater.

And $-32>-35$

Therefore $\frac{-32}{20}>\frac{-35}{20}\mathrm{i}.\mathrm{e}.\frac{-8}{5}\frac{-7}{4}$

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