Question

find a rational numbers between 2/3 and 3/4 hint first write the rational numbers with equal denominators ​

Answer 1

Answer:

When the denominators are equated by LCM method, the equivalent rational numbers are 8/12 and 9/12. The same rational numbers will be obtained when the denominator of one rational number is multiplied to the numerator and denominator of the other. 2/3 x 4/4 = 8/12 and 3/4 x 3/3 = 9/12.

Answer 2

$\huge\tt\red{❥Answer}$

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