Question : Simplify the following expression.
$(2 \times 7-5+9 \div 3) \div(4+2)^2 \times 2$
Option 1: $2$
Option 2: $\frac{3}{2}$
Option 3: $\frac{2}{3}$
Option 4: $1.5$
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Correct Answer: $\frac{2}{3}$
Solution :
$(2 \times 7-5+9 \div 3) \div(4+2)^2 \times 2$
$=\frac{(2\times 7-5+\frac{9}{3})}{(6)^2} \times 2$
$=\frac{(14-5+3)}{36} \times 2$
$=\frac{12}{36} \times 2$
$=\frac{2}{3}$
Hence, the correct answer is $\frac{2}{3}$.
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