Let's solve the expression step by step.

The expression is:

\[
\frac{75}{100} \times \frac{2}{100} \times 600 - \frac{5}{100} \times \frac{4}{100} \times 120
\]

### Step 1: Simplify the fractions
- \(\frac{75}{100} = 0.75\)
- \(\frac{2}{100} = 0.02\)
- \(\frac{5}{100} = 0.05\)
- \(\frac{4}{100} = 0.04\)

### Step 2: Multiply the values
- First part: \(0.75 \times 0.02 \times 600 = 0.009 \times 600 = 5.4\)
- Second part: \(0.05 \times 0.04 \times 120 = 0.002 \times 120 = 0.24\)

### Step 3: Subtract the second part from the first part
\[
5.4 - 0.24 = 5.16
\]

So, the result is \(5.16\).

Would you like more details or have any questions?

Here are 8 related questions you might find interesting:
1. How do you simplify complex fractions?
2. How do you interpret and solve expressions with multiple operations?
3. What is the order of operations in mathematical expressions?
4. How do you multiply fractions with decimals?
5. What is the significance of multiplying percentages?
6. How can percentages be converted to decimals?
7. How can you solve more complex expressions involving fractions and percentages?
8. How do different operations (addition, subtraction, multiplication) interact in mathematical expressions?

**Tip:** Always simplify fractions and percentages to decimals first to make calculations easier.

Learn how to solve the expression 75/100*2/100*600 - 5/100*4/100*120 with a step-by-step explanation. This problem involves calculations with fractions and percentages, covering basic arithmetic operations. Suitable for Grades 7-9 students.

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