Question

find a rational number between -3/4 and -2/5​

Answer 1

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At first,

We have to make the denominator of the two rational numbers equal by finding the LCM.

LCM of 4 and 5 = 20

Now,

$= > \frac{ - 3}{4} \times \frac{5}{5} = \frac{ - 15}{20}$

&

$= > \frac{ - 2}{5} \times \frac{4}{4} = \frac{ - 8}{20}$

Rational numbers between $\frac{-3}{4}(\frac{-15}{20})$ and $\frac{-2}{5}(\frac{-8}{20})$ are :-

$\frac{ - 9}{20} , \frac{ - 10}{20} , \frac{ - 11}{20} , \frac{ - 12}{20} , \frac{ - 13}{20} , \frac{ - 14}{20}$

So, 1 rational number between $\frac{-3}{4}(\frac{-15}{20})$ and $\frac{-2}{5}(\frac{-8}{20})$ is :-

$\frac{ - 11}{20}$

Answer 2

Answer:

refer to the given attachment