Question

Find a rational number between 2 by 3 and 3 by 4 hint first write the rational numbers with equal denominators

Answer 1

2/1× 4/4= 8/4

3/1×4/4= 12/4

so, rational number between 2and3= 9/4,10/4,11/4

Answer 2

$\huge\tt\pink{❥Answer}$

Given numbers= $\frac{2}{3}\frac{3}{4}$

LCM = 12

$\frac{2×4}{3×4}=\frac{8}{12}=\frac{16}{24}$

$\frac{3×3}{4×3}=\frac{9}{12}=\frac{18}{24}$

therefore, $\frac{16}{24}<\frac{17}{24}<\frac{18}{24}$

therefore, $\frac{2}{3}<\frac{17}{24}<\frac{3}{4}$