Find two rational numbers between-2 - 3 and 1 - 4

Given 2/3 and 1/4 now 2/3 = 2/3 × 4/4 = 8/12 and 1/4 = 1/4 × 3/3 = 3/12 2 rational numbers 7/12 and 6/12 ...

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Standard VIII

Mathematics

Rational Numbers between Two Rational Numbers

Find two rati...

Question

Find two rational numbers between $\frac{- 2}{3}$ and $\frac{1}{4}$

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Solution

Given: $\frac{- 2}{3}$ and $\frac{1}{4}$
$\frac{- 2}{3} = \frac{- 2}{3} \times \frac{4}{4} = \frac{- 8}{12}$
and
$\frac{1}{4} = \frac{1}{4} \times \frac{3}{3} = \frac{3}{12}$

Therefore, $2$ rational numbers $\frac{- 7}{12}$ and $\frac{- 6}{12}$

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Given: −23 and 14−23=−23×44=−812and14=14×33=312 Therefore, 2 rational numbers −712 and −612

Find two rational numbers between $\frac{- 2}{3}$ and $\frac{1}{4}$

Given: $\frac{- 2}{3}$ and $\frac{1}{4}$
$\frac{- 2}{3} = \frac{- 2}{3} \times \frac{4}{4} = \frac{- 8}{12}$
and
$\frac{1}{4} = \frac{1}{4} \times \frac{3}{3} = \frac{3}{12}$

Therefore, $2$ rational numbers $\frac{- 7}{12}$ and $\frac{- 6}{12}$