Evaluate the expression: (27)/(8) x 1(1)/(5)8 - 2(1)/(4)

$$2\frac{7}{8} = \frac{(2 \times 8) + 7}{8} = \frac{16 + 7}{8} = \frac{23}{8}$$ $$1\frac{1}{5} = \frac{(1 \times 5) + 1}{5} = \frac{5 + 1}{5} = \frac{6}{5}$$ $$2\frac{1}{4} = \frac{(2 \times 4) + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4}$$

The expression becomes:

$$\frac{\frac{23}{8} \times \frac{6}{5}}{8 - \frac{9}{4}}$$

$$\frac{23}{8} \times \frac{6}{5} = \frac{23 \times 6}{8 \times 5} = \frac{138}{40}$$

Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:

$$\frac{138 \div 2}{40 \div 2} = \frac{69}{20}$$

$$8 - \frac{9}{4} = \frac{8}{1} - \frac{9}{4}$$

Find a common denominator, which is 4:

$$\frac{8 \times 4}{1 \times 4} - \frac{9}{4} = \frac{32}{4} - \frac{9}{4} = \frac{32 - 9}{4} = \frac{23}{4}$$

Now we have:

$$\frac{\frac{69}{20}}{\frac{23}{4}}$$

To divide by a fraction, multiply by its reciprocal:

$$\frac{69}{20} \times \frac{4}{23}$$

We can simplify by canceling out common factors. Divide 4 in the numerator and 20 in the denominator by 4:

$$\frac{69}{5 \times 4} \times \frac{4}{23} = \frac{69}{5 \times 23}$$

Since $69 = 3 \times 23$, we can simplify further:

$$\frac{3 \times 23}{5 \times 23} = \frac{3}{5}$$

The final answer is $\frac{3}{5}$.