Question

find the three rational number between 2/3 and 3/4​

Answer 1

Answer:

$Hello!$

let's first make their denominators equal,

$\frac{2}{3} *\frac{4}{4} =\frac{8}{12}$    ;     $\frac{3}{4} *\frac{3}{3} =\frac{9}{12}$   ;      {LCM = 12}

$\frac{8}{12} *\frac{10}{10} =\frac{80}{120}$  ;  $\frac{9}{12} *\frac{10}{10}=\frac{90}{120}$

hence, the three rational no.s are,

$\frac{81}{120} ,\frac{85}{120},\frac{88}{120} ,etc....$