Question : What is the value of $(1 ÷ 4) + (1 ÷ 6) - \left \{(1 ÷ 8) ÷ (1 ÷ 4) \right \}$?
Option 1: $-(11÷12)$
Option 2: $-(5÷12)$
Option 3: $-(7÷12)$
Option 4: $-(1÷12)$
Correct Answer: $-(1÷12)$
Solution :
$(1 ÷ 4) + (1 ÷ 6) - \left \{(1 ÷ 8) ÷ (1 ÷ 4) \right \}$
$=(\frac{1}{4}) + (\frac{1}{6}) - {\frac{(\frac{1}{8})}{(\frac{1}{4})}}$
$=\frac{1}{4} + \frac{1}{6} - \frac{1}{2}$
$=\frac{3+2-6}{12}$
$=-\frac{1}{12}$
$= -(1÷12)$
Hence, the correct answer is $-(1÷12)$.
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