Question

Using midpoints, find three rational numbers between −2/3 and 3/2.

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.

We have to find there rational numbers between 2/3 and 3/4.

{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

Answer 2

Answer:

Lcm of 3 and 2= 6

-2/3= -4/6

3/2= 9/6

3 rational numbers= -3/6,-2/6,-1/6,2/6