Question

find a rational number lying between :- -1 and 1/2​

Answer 1

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We know that an rational number between any rational numbers a and b is a+b/2

so,

A rational number lying between -1 and 1/2 is

$\frac{ - 1 + \frac{1}{2} }{2} \\ \\ = \frac{ \frac{ - 2 + 1}{2} }{2} \\ \\ = \frac{ \frac{ - 1}{2} }{2} \\ \\ = \frac{ - 1}{2} \div \frac{2}{1} \\ \\ = \frac{ - 1}{2} \times \frac{1}{2} \\ \\ = \frac{ - 1}{4} \\ so \: the \: rational \: number \: between \: - 1 \: and \: \frac{1}{2} is \: \frac{ - 1}{4}$

Hope this is useful....