Question

find three rational numbers between -2/3 and 1/4.​

Answer 1

Answer:

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

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$\large{ \sf{ \underline{To \: find :}}}$

Three rational numbers between $\sf \frac{ - 2}{3}$ and $\sf \frac{1}{4}$.

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Equalise the denominators of both these rational numbers.

LCM of 3 and 4 = 3 × 4 = 12

Now,

$\large \sf \frac{ - 2 \times 4}{3 \times 4} = \frac{ - 8}{12}$

&

$\large \sf \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$

Three rational numbers between $\sf \frac{ - 8}{12}$ $\sf (\frac{ - 2}{3} )$ and $\sf \frac{ 3}{12}$ $\sf ( \frac{1}{4})$

$\large \sf \frac{ - 7}{12} , \frac{ - 5}{12} , \frac{1}{12}$

$\sf{ \red{Hope \: it \: helps...}}$

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