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

Given,

Total silk available = $15\dfrac{3}{4}$ metres = $\dfrac{63}{4}$ metres

Silk required for one kurta = $2\dfrac{1}{4}$ metres = $\dfrac{9}{4}$ metres

Number of kurtas the tailor can make :

$\Rightarrow \dfrac{63}{4} \div \dfrac{9}{4} \\[1em] \Rightarrow \dfrac{63}{4} \times \dfrac{4}{9} \\[1em] \Rightarrow \dfrac{63}{9} \\[1em] \Rightarrow 7.$

Hence, the tailor can make exactly 7 kurtas.