Question

Find three different irrational numbers between $-\frac{3}{7}$ and $-\frac{2}{7}$.

Answer 1

Estimate the required three numbers:

The given range of rational numbers are $-\frac{3}{7}$ and $-\frac{2}{7}$.

Multiplying the first number by $4$ and the second number by $4$ on both numerator and denominator we get,

$-\frac{12}{28}$ and $-\frac{8}{28}$

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

$-\frac{11}{28},-\frac{10}{28}$ and $-\frac{9}{28}$

Hence, the three different irrational numbers between $-\frac{3}{7}$ and $-\frac{2}{7}$are $-\frac{11}{28},-\frac{10}{28}$ and $-\frac{9}{28}$.