Question

find a rational number between -2/3 and 1/4
please give me answer step by step not give me answer directly
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Answer 1

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First take the L.C.M. to make the denominators same.

L.C.M. of 3 and 4=2×2×3=12

$\large\mathtt\blue{ = > \frac{ - 2}{3} \times \frac{4}{4} = \frac{ - 8}{12} \:}$

$\large\mathtt\blue{ = > \frac{1}{4} \times \frac{3}{3} = \frac{3}{12} \:}$

Rational numbers between -8/12 and 3/12 are -7/12, -6/12, -5/12, -4/12, -3/12, -2/12, -1/12, 0/12, 1/12 abd 2/12.

So, 1 rational numbers between -2/3 and 1/4 are -7/12, -6/12, -5/12, -4/12, -3/12, -2/12, -1/12, 0/12, 1/12 abd 2/12.

$\large{\color{aqua}{\underbrace {\underline{\color{red}{\mathbb{❥Hope\: it \:helps \:you....}}}}}}$