Question

Find three different irrational numbers between $\frac{3}{5}$ and $\frac{7}{8}$.

Answer 1

Estimate the required three numbers:

The given range of rational numbers are $\frac{3}{5}$ and $\frac{7}{8}$.

Multiplying the first number by $8$ and the second number by $5$ on both numerator and denominator we get,

$\frac{24}{40}$ and $\frac{35}{40}$

Since the denominator is the same, the three rational numbers between them are,

$\frac{25}{40},\frac{26}{40}$ and $\frac{27}{40}$

Hence, the three different irrational numbers between $\frac{3}{5}$ and $\frac{7}{8}$are $\frac{25}{40},\frac{26}{40}$ and $\frac{27}{40}$.