Question 4

We need to find how many kurtas the tailor can make from the given silk.

Step 1 — Convert to improper fractions

Let's change the mixed fractions to improper fractions. This makes calculations easier.

Total silk available is $15\frac{3}{4}$ metres.

$15\frac{3}{4} = \frac{(15 \times 4) + 3}{4}$

$= \frac{60 + 3}{4}$

$\boxed{\frac{63}{4} \text{ metres}}$

Silk needed for one kurta is $2\frac{1}{4}$ metres.

$2\frac{1}{4} = \frac{(2 \times 4) + 1}{4}$

$= \frac{8 + 1}{4}$

$\boxed{\frac{9}{4} \text{ metres}}$

Step 2 — Calculate number of kurtas

We will divide the total silk by the silk needed for one kurta. This gives us the number of kurtas.

Number of kurtas = Total silk $\div$ Silk per kurta

$= \frac{63}{4} \div \frac{9}{4}$

$= \frac{63}{4} \times \frac{4}{9}$

$= \frac{63}{9}$

$\boxed{7 \text{ kurtas}}$

Answer

The tailor can make exactly 7 kurtas.