Let's solve the expression shown in the image step by step. The given expression is:

$\frac{4}{5} - \frac{2}{5} \times \frac{3}{2} + \frac{2}{8} \div \frac{3}{3} \times \frac{1}{4} - \frac{5}{8} \times \frac{3}{16}$

Step 1: Perform Multiplications

• $\frac{2}{5} \times \frac{3}{2} = \frac{6}{10} = \frac{3}{5}$
• $\frac{2}{8} \div \frac{3}{3} = \frac{2}{8} \times \frac{3}{3}^{-1} = \frac{2}{8} \times 1 = \frac{2}{8} = \frac{1}{4}$
• $\frac{1}{4} \times \frac{5}{8} = \frac{5}{32}$
• $\frac{5}{8} \times \frac{3}{16} = \frac{15}{128}$

Now, the expression becomes:

$\frac{4}{5} - \frac{3}{5} + \frac{1}{4} - \frac{15}{128}$

Step 2: Find a common denominator for all terms

The least common denominator (LCD) for 5, 4, and 128 is 128.

• $\frac{4}{5} = \frac{4 \times 128}{5 \times 128} = \frac{512}{640}$