Question

Find 3 rational numbers between following rational numbers 2/3 and 3/4 by taking out mean

Answer 1

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

{Multiply both numerator and denominator by 4} 8×4/(12×4) = 32/48

{Multiply both numerator and denominator by 3} 3/4 = 3×3/(4×3) = 9/12

{Multiply both numerator and denominator by 4} 9×4/(12×4) = 36/48

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