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Find a rational number between -2 by 3and 1by 4 ,

Posted by Sunil Harjai 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 5 years, 9 months ago

The rational number $\left(\frac{-2}{3}+\frac{1}{4}\right)$ $\div$ 2 lies in the middle of the two given rational numbers, that is, $\frac{-2}{3}$ and $\frac{1}{4}$ .
Now, $\left(\frac{-2}{3}+\frac{1}{4}\right)$ = $\frac{(-2) \times 4 + 3 \times 1}{12}$ = $\frac{-8+3}{12}$ = $\frac{-5}{12}$
$\therefore$ $\left(\frac{-2}{3}+\frac{1}{4}\right)$ $\div$ 2 = $\frac{-5}{12}$ $\div$ 2 = $\frac{-5}{12}$ $\times$ $\frac{1}{2}$ = $\frac{-5}{24}$
Thus, the required rational number is $\frac{-5}{24}$ . That is, $\frac{-2}{3}$ < $\frac{-5}{24}$ < $\frac{1}{4}$ .

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