Question 68

What is the value of $$(1 \div 4) + ( 1 \div 6) - \{(1 \div 8) \div (1 \div 4)\}$$?

Solution

= $$(1 \div 4) + ( 1 \div 6) - \{(1 \div 8) \div (1 \div 4)\}$$

= $$\frac{1}{4} + \frac{1}{6} - \{\frac{1}{8} \div \frac{1}{4}\}$$

= $$\frac{1}{4} + \frac{1}{6} - \{\frac{1}{8} \times \frac{4}{1}\}$$

= $$\frac{1}{4} + \frac{1}{6} - \frac{1}{2}$$

= $$\frac{3}{12}+\frac{2}{12}-\frac{6}{12}$$

= $$\frac{5}{12}-\frac{6}{12}$$

= $$-\frac{1}{12}$$

= $$-(1 \div 12)$$

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