Question

Find a rational number lying between -1/3 and 1/2

Answer 1

First we should convert these fractions into like fractions.
So LCM of 3 and 2 is 6
$\frac{ - 1}{3} = \frac{ - 1 \times 2}{3 \times 2} = \frac{ - 2}{6}$
$\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}$
So rational number between
$\frac{ - 2}{6} \: and \: \frac{3}{6} \: is \frac{1}{2}$
(It can be any rational numbers between the two numbers)

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Answer 2

Answer:

$\huge\mathbb\fcolorbox{purple}{lavenderblush}{✰Answer}$

Let

• x = 1/3
• y = 1/2

=> required rational number lying between x and y

= 1/2(x+y)

= 1/2 (1/3+1/2)

= 1/2x5/6

= 5/12

Hence, 5/12 is a rational number lying between 1/2 and 1/3