Question : Solve the following expression.
$456-\left(76+15^2\right)+\frac{3}{4} \text { of } \frac{76}{18} \div\left(\frac{19}{72 \times 24}\right)$
Option 1: 443
Option 2: 256
Option 3: 356
Option 4: 401
Correct Answer: 443
Solution :
$456-\left(76+15^2\right)+\frac{3}{4} \text { of } \frac{76}{18} \div\left(\frac{19}{72 \times 24}\right)$
$=456-\left(76+15^2\right)+(\frac{3}{4} \times \frac{76}{18}) \div\left(\frac{19}{72 \times 24}\right)$
$=456-\left(76+15^2\right)+\frac{19}{6} \times \frac{72×24}{19}$
$=456-\left(76+225\right)+12 \times24$
$=456-301+288$
$=443$
Hence, the correct answer is 443.
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