Question

Simplify the fraction ​

Answer 1

Step-by-step explanation:

$\frac{1}{4} + ( \frac{1}{2} \times \frac{1}{2} \div ( \frac{1}{2} \times \frac{1}{2} \div \frac{1}{2} + ( \frac{1}{2} \div \frac{1}{2} ))) = \\ \frac{1}{4} + ( \frac{1}{4} \div ( \frac{1}{2} + (1))) = \\ \frac{1}{4} + ( \frac{1}{4} \div ( \frac{1 + 2}{2} )) = \\ \frac{1}{4} + ( \frac{1}{4} \times \frac{2}{3} ) = \\ \frac{1}{4} + \frac{1}{6} = \\ \frac{3 + 2}{12} = \\ \frac{5}{12}$