https://file.aiquickdraw.com/mathbot/file/1726617312996dwp0k1aq.jpg

It seems that the extraction of the mathematical content from the image was unsuccessful. I will transcribe the equation manually and proceed with solving it.

The expression appears to be:

\[
\left( \frac{3}{5} \right)^2 + \frac{1}{5} - \left( \frac{1}{7} - \frac{3}{4} \right) + \left( \frac{-1}{2} \right)^2 = ?
\]

Now, let's go step by step to solve it:

### Step 1: Simplify each term
1. \(\left( \frac{3}{5} \right)^2 = \frac{9}{25}\)
2. \(\frac{1}{5}\) stays as is.
3. \(\frac{1}{7} - \frac{3}{4}\) needs a common denominator, which is 28:
   \[
   \frac{1}{7} = \frac{4}{28}, \quad \frac{3}{4} = \frac{21}{28}
   \]
   So, \(\frac{1}{7} - \frac{3}{4} = \frac{4}{28} - \frac{21}{28} = \frac{-17}{28}\).
4. \(\left( \frac{-1}{2} \right)^2 = \frac{1}{4} = \frac{7}{28}\) (converted to have a denominator of 28 for later steps).

### Step 2: Substitute into the expression
\[
\frac{9}{25} + \frac{1}{5} - \left( \frac{-17}{28} \right) + \frac{7}{28}
\]

I will now compute the result.The result of the expression is:

\[
\frac{248}{175}
\]

This can also be written as approximately 1.417.

Would you like more details on any part of the process, or further explanations? Here are a few related questions:

1. How do you handle fractions with different denominators when adding or subtracting?
2. What is the general method for squaring fractions?
3. Why did we use a common denominator in the subtraction step?
4. How can we convert improper fractions to mixed numbers?
5. What are some techniques to simplify expressions involving fractions?

**Tip:** When working with fractions, it's often easier to simplify the problem by converting to a common denominator early in the calculation.

(3/5)^2 + 1/5 - (1/7 - 3/4) + (-1/2)^2 = ?

Learn how to solve the complex fraction expression involving squaring, addition, and subtraction of fractions: (3/5)^2 + 1/5 - (1/7 - 3/4) + (-1/2)^2. Step-by-step simplification, including the use of common denominators and fraction rules. Suitable for Grades 7-9 students.

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