\(1\frac{2}{5}\) of 75% of 540 \(\frac{2}{3}\) = ?

Step 1: Convert values

$1\frac{2}{5} = \frac{7}{5}$
$75% = \frac{3}{4}$

Step 2: Write full expression

$\frac{7}{5} \times \frac{3}{4} \times 540 \times \frac{2}{3}$

Step 3: Simplify step by step

Cancel $\frac{3}{4}$ with 540:

$540 \div 4 = 135$, so:
$\frac{3}{4} \times 540 = 405$

Now expression becomes:
$\frac{7}{5} \times 405 \times \frac{2}{3}$

Step 4: Simplify further

$405 \div 5 = 81$

So:
$7 \times 81 \times \frac{2}{3}$

$81 \div 3 = 27$

So:
$7 \times 27 \times 2$

Step 5: Multiply

$7 \times 27 = 189$
$189 \times 2 = 378$

Final Answer: 378