Let's solve the given expression step by step:

**Expression:**  
\[
25 + 5^2 \div \frac{5}{7} - 12 \div 4 + 2
\]

### Step 1: Calculate exponents
- \(5^2 = 25\)

Now, the expression becomes:
\[
25 + 25 \div \frac{5}{7} - 12 \div 4 + 2
\]

### Step 2: Perform division
- \(25 \div \frac{5}{7} = 25 \times \frac{7}{5} = 35\)
- \(12 \div 4 = 3\)

The expression now simplifies to:
\[
25 + 35 - 3 + 2
\]

### Step 3: Perform addition and subtraction from left to right
1. \(25 + 35 = 60\)
2. \(60 - 3 = 57\)
3. \(57 + 2 = 59\)

The final result is:
\[
59
\]

Do you want more details, or have any questions?

Here are 5 related questions to expand on the topic:
1. What are the rules for the order of operations in arithmetic?
2. How do you solve expressions involving fractions and exponents?
3. Why does dividing by a fraction involve multiplying by its reciprocal?
4. What changes in the result if we use parentheses to group different parts of the expression?
5. How would the outcome differ if we started with subtraction or addition first?

**Tip:** Always follow the order of operations (PEMDAS/BODMAS) to solve complex expressions accurately.

This page provides a step-by-step solution to the math expression 25 + 5^2 ÷ (5/7) - 12 ÷ 4 + 2. Learn about exponents, dividing by fractions, and the order of operations (PEMDAS/BODMAS) to solve complex expressions. Suitable for Grades 7-8.

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