Question

find a rational number between 2/3 and 3/4​

Answer 1

Answer:

A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0.

{Multiply both numerator and denominator by 4} 2/3 = 2×4/(3×4) = 8/12

Answer 2

Answer:

A rational number, in Mathematics, can be defined as any number which can be represented in the form of

$\bf \: p/q \: where \: q ≠ 0.$

{Multiply both numerator and denominator by 4}

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

$\implies \frac{8}{12}$

{Multiply both numerator and denominator by 3}

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

$\implies \frac{9}{12}$

{Multiply both numerator and denominator by 4}

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

$\implies \frac{80}{120}$

{Multiply both numerator and denominator by 4}

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

$\implies \frac{90}{120}$

33/48, 34/48, 35/48 are three rational numbers between 2/3, 3/4.