https://file.aiquickdraw.com/mathbot/file/1726576133809adhdgjcw.jpg

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.

- \(\frac{4}{5} = \frac{4 \times 128}{5 \times 128} = \frac{512}{640}\)
-

Solve: 4/5 - 2/5 x 3/2 + 2/8 ÷ 3/3 × 1/4 - 5/8 x 3/16

Learn how to solve a complex fraction expression: 4/5 - 2/5 x 3/2 + 2/8 ÷ 3/3 × 1/4 - 5/8 x 3/16, using multiplication, division, and the correct order of operations. Suitable for middle school students.

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