Question : What is the value of $[0.7 \times 0.4 \div(0.28-0.2 \times 0.3)+1.2 \times 1.6] ?$
Option 1: $\frac{878}{275}$
Option 2: $\frac{1161}{550}$
Option 3: $\frac{1273}{550}$
Option 4: $\frac{971}{275}$
Correct Answer: $\frac{878}{275}$
Solution :
$[0.7 \times 0.4 \div(0.28-0.2 \times 0.3)+1.2 \times 1.6]$
$=[0.7 \times 0.4 \div(0.28-0.06)+1.92]$
$=[0.7 \times 0.4 \div0.22+1.92]$
$=[\frac{7}{10} \times \frac{4}{10} \div\frac{11}{50}+\frac{48}{25}]$
$=[\frac{7}{10} \times \frac{4}{10} \times\frac{50}{11}+\frac{48}{25}]$
$=[7 \times \frac{2}{5} \times\frac{5}{11}+\frac{48}{25}]$
$=[7 \times2 \times\frac{1}{11}+\frac{48}{25}]$
$=\frac{14}{11}+\frac{48}{25}$
$=\frac{350+528}{275} $
$=\frac{878}{275} $
Hence, the correct answer is $\frac{878}{275} $.
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