Question

Find a rational numbers lying between 1/3 and 1/2​

Answer 1

$\huge{\color{t}{\textsf{\textbf {\underline{\underline{ Anѕwєr : }}}}}}$

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

Answer 2

$\huge{\color{red}{\textsf{\textbf {\underline{ Anѕwєr : }}}}}$

$\sf \pink{Required \: number = \frac{1}{2}( \frac{1}{3} + \frac{1}{2}) }$

$: \red \implies \frac{1}{2} ( \frac{2 + 3}{6} )$

$: \red\implies ( \frac{1}{2} \times \frac{5}{6} )$

$: \red \implies \purple { {\frac{5}{12} }}$

$\sf \pmb {Hence,\frac{5}{12} }$ is a rational number lying between $\sf \pmb{\frac{1}{3}}$ and $\sf \pmb{\frac{1}{2}}$

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