Question

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

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Answer 1

2/3 = 2x4/(3x4) = 8/12  {Multiply both numerrator and denominator by 4 }

8x4/(12x4) = 32/48     {Multiply both numerrator and denominator by 4 }

3/4 = 3x3/(4x3) = 9/12 {Multiply both numerrator and denominator by 3 }

9x4/(12x4) = 36/48 {Multiply both numerrator and denominator by 4 }

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