https://file.aiquickdraw.com/mathbot/file/17263402971942lulrs1w.jpg

The expression in the image is:

\[
2 - \frac{5}{4} \left( \frac{8}{15} + \frac{2}{5} \right) - \left( \frac{1}{2} \right)^2
\]

Let's solve it step by step.

### Step 1: Simplify the inner fraction
The fractions \(\frac{8}{15}\) and \(\frac{2}{5}\) need a common denominator for addition. The common denominator between 15 and 5 is 15.

\[
\frac{8}{15} + \frac{2}{5} = \frac{8}{15} + \frac{6}{15} = \frac{14}{15}
\]

### Step 2: Multiply by \(\frac{5}{4}\)
\[
\frac{5}{4} \times \frac{14}{15} = \frac{5 \times 14}{4 \times 15} = \frac{70}{60} = \frac{7}{6}
\]

### Step 3: Square the fraction
\[
\left( \frac{1}{2

Solve the expression: 2 - (5/4) * (8/15 + 2/5) - (1/2)^2

Learn how to simplify the expression 2 - (5/4) * (8/15 + 2/5) - (1/2)^2 with detailed step-by-step calculations. This problem covers the concepts of fraction addition, multiplication, and squaring, making it suitable for Grades 6-8.

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