Solve the following expression: 112 x (3)/(4) / 5 x (1)/(2) + 2 x (1)/(4)

First, calculate $112 \times \frac{3}{4}$.

$$112 \times \frac{3}{4} = \frac{112 \times 3}{4} = \frac{336}{4} = 84$$

The expression becomes:

$$84 \div 5 \times \frac{1}{2} + 2 \times \frac{1}{4}$$

Next, calculate $84 \div 5$.

$$84 \div 5 = \frac{84}{5}$$

The expression becomes:

$$\frac{84}{5} \times \frac{1}{2} + 2 \times \frac{1}{4}$$

Next, calculate $\frac{84}{5} \times \frac{1}{2}$.

$$\frac{84}{5} \times \frac{1}{2} = \frac{84 \times 1}{5 \times 2} = \frac{84}{10} = \frac{42}{5}$$

The expression becomes:

$$\frac{42}{5} + 2 \times \frac{1}{4}$$

Next, calculate $2 \times \frac{1}{4}$.

$$2 \times \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$$

The expression becomes:

$$\frac{42}{5} + \frac{1}{2}$$

To add the fractions, find a common denominator, which is 10.

$$\frac{42}{5} = \frac{42 \times 2}{5 \times 2} = \frac{84}{10}$$ $$\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}$$

Now add the fractions:

$$\frac{84}{10} + \frac{5}{10} = \frac{84 + 5}{10} = \frac{89}{10}$$

Convert the fraction to a decimal:

$$\frac{89}{10} = 8.9$$

The final answer is 8.9.