Exercise 3.4

Represent the rational numbers \(\frac{2}{3}\), \(\frac{−5}{4}\) and \(1\frac{1}{2}\) on a single number line.

Find three distinct rational numbers that lie strictly between \(\frac{−1}{2}\) and \(\frac{1}{4}\).

Simplify the expression: \((−\frac{1}{4})\) + \((\frac{5}{12})\).

A tailor has \(15\frac{3}{4}\) metres of fine silk. If making one kurta requires \(2\frac{1}{4}\) metres of silk, exactly how many kurtas can he make?

Find three rational numbers between 3.1415 and 3.1416.

Can you think of other way(s) to find a rational number between any two rational numbers?