Question

find the rational number between 2/3 and 3/4 and convert the given rational numbers into decimal form​

Answer 1

$question$

find the rational number between 2/3 and 3/4 and convert the given rational numbers into decimal form.

$to \: find$

rational number between 2/3 and 3/4

$solving$

LCM of 3 and 4 is 12.

Multiplying both side by 4.

$\frac{2}{3} \times \frac{4}{4} = \frac{8}{12}$

Now multiplying both side by 3.

$\frac{3}{4} \times \frac{3}{3} = \frac{9}{12}$

Now multiply both rational number by 10.

$\frac{8}{12} \times \frac{10}{10} = \frac{80}{120}$

$\frac{9}{12} \times \frac{10}{10} = \frac{90}{120}$

taking one rational number between 80/120and90/120.

$\frac{81}{120}$

converting to decimal 81/120 =0.675