Question

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

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.

Answer 2

$\sf\huge {\underline{\underline{{Solution}}}}$

To find Rational number between the 2/3 and 3/4 we will take LCM of denominator of both fractional values.

LCM of 3 and 4 is 12.

Now,make denominator equal of each fraction

=> 2/3*4/4= 8/12

=>3/4*3/3= 9/12

Now, Multiply 8/12 and 9/12 by 10/10

=>8/12*10/10= 80/120

=>9/12*10/10=90/120

Hence,the rational number between 2/3 and 3/4 are : 81/120,82/120,83/120,84/120,85/120------90/120

More information=>

A rational number is a number which is in the form of p/q ,where q≠0.Above two fractional values are both Rational number e.g.3 and 4 ≠0.