Evaluate the expression:

$$7 - \left[ \frac{3}{4} \div \left( \frac{1}{8} + \left( \frac{1}{2} imes \left(1 - \frac{1}{4} ight) ight) ight) ight]$$

Question

Evaluate the expression:

$$7 - \left[ \frac{3}{4} \div \left( \frac{1}{8} + \left( \frac{1}{2} 	imes \left(1 - \frac{1}{4} ight) ight) ight) ight]$$

Accepted Answer

Solution:
Given expression:
$$ 7 - \left[\frac{3}{4} \div \left\{\frac{1}{8} + \left(\frac{1}{2} 	imes \left(1 - \frac{1}{4}ight)ight)ight\}ight] $$
First solve the innermost bracket:
$$ 1 - \frac{1}{4} = \frac{3}{4} $$
Now multiply:
$$ \frac{1}{2} 	imes \frac{3}{4} = \frac{3}{8} $$
Now add:
$$ \frac{1}{8} + \frac{3}{8} = \frac{4}{8} = \frac{1}{2} $$
So the expression becomes:
$$ 7 - \left[\frac{3}{4} \div \frac{1}{2}ight] $$
Now divide:
$$ \frac{3}{4} \div \frac{1}{2} = \frac{3}{4} 	imes \frac{2}{1} = \frac{3}{2} $$
Now subtract:
$$ 7 - \frac{3}{2} $$
$$ = \frac{14}{2} - \frac{3}{2} $$
$$ = \frac{11}{2} $$
Therefore,
$$ \boxed{\frac{11}{2}} $$
Final Answer: **(a)**

Answer

Answer

Answer