Question

Question 10 (iii)

Write the following rational numbers in ascending order:
$\frac{-3}{7},\frac{-3}{2},\frac{-3}{4}$

Answer 1

$\frac{-3}{7},\frac{-3}{2},\frac{-3}{4}$

$\frac{-3\times 4}{7\times 4},\frac{-3\times 14}{2\times 14},\frac{-3\times 7}{4\times 7}$ [Converting into same denominator]
$\Rightarrow \frac{-42}{28}$<$\frac{-21}{28}$<$\frac{-12}{28}$

$\Rightarrow \frac{-3}{2}$<$\frac{-3}{4}$<$\frac{-3}{7}$