Question

Find
Rational numbers between
2/3 and 3/4


​

Answer 1

Answer:

$\frac{2}{3} \: and \: \: \frac{3}{4} \\ \frac{2}{3} \times \frac{4}{4} = \frac{8}{12} \: \: \: \: \: \: \: \: \: \ \frac{3}{4} \times \frac{3}{3} = \frac{9}{12} \\ \frac{8}{12} \times \frac{6}{6} = \frac{48}{84} \: \: \: \: \: \: \: \frac{9}{12} \times \frac{6}{6} = \frac{54}{84} \\ ratioal \: numbers \: between \: \frac{2}{3} and \frac{3}{4} are \\ \frac{49}{84} \: \: \frac{50}{84} \: \: \frac{51}{84} \: \: \frac{52}{84} \: \: \frac{53}{84}$

Answer 2

$\huge {\underline {\underline {\mathbb {\pink {Answer\: :-}}}}}$

⇏If m and n be two rational numbers such that m < n then 1/2 (m + n) is a rational number between m and n.

$\huge {\underline {\underline {\mathtt {\purple {procedure :-}}}}}$

$\text {Required number = 1/2 (2/3 + 3/4)}$

$\text { = 1/2 ((8 + 9)/12)}$

$\text {= 1/2×17/12}$

$\text {=17/24}$

$\huge {\underline {\underline {\mathbb {\orange {Hence,}}}}}$

⇏17/24 is a rational number lying halfway between 2/3 and 3/4.

$\sf \green {other\:<u> </u>rational\: numbers\: lying\: between\: 2/3\: and\: 3/4\: are:-}$

$\text {⇏17/24\:, 33/48\:, 35/48\:, 67/96}$

$\huge {\underline {\mathcal {\red {♡Thank you ♡}}}}$