It looks like you are dealing with a formula that involves variables \( v \), \( p \), and \( f \), as well as a constant \( g \). To better understand this, let's break it down and simplify:

\[ m = \frac{v \cdot p \cdot f - g}{v \cdot p \cdot f} \cdot 100 \]

To simplify this expression, follow these steps:

1. First, distribute the multiplication in the numerator:
   \[ v \cdot p \cdot f - g \]

2. Divide each term in the numerator by the denominator \( v \cdot p \cdot f \):
   \[ \frac{v \cdot p \cdot f}{v \cdot p \cdot f} - \frac{g}{v \cdot p \cdot f} \]

3. Simplify the fractions:
   \[ 1 - \frac{g}{v \cdot p \cdot f} \]

4. Multiply by 100 to get the final expression:
   \[ m = \left( 1 - \frac{g}{v \cdot p \cdot f} \right) \cdot 100 \]

So, the simplified form of your formula is:

\[ m = \left( 1 - \frac{g}{v \cdot p \cdot f} \right) \cdot 100 \]

Would you like further details on this simplification, or do you have any questions about this process?

Here are 8 related questions for further exploration:

1. What do the variables \( v \), \( p \), and \( f \) represent in this context?
2. Is there a specific meaning or application for the constant \( g \)?
3. How does changing the value of \( g \) affect the outcome of \( m \)?
4. Can this formula be used in a practical real-world situation? If so, how?
5. What are the units of measurement for each variable and the resulting \( m \)?
6. How would you graph the relationship between \( m \) and one of the variables (e.g., \( v \))?
7. Are there any constraints or limitations to the values of \( v \), \( p \), and \( f \)?
8. Can this formula be derived or related to any known physical or mathematical principles?

**Tip:** When dealing with complex formulas, breaking them down into simpler parts can help you understand and manipulate them more effectively.

Explore the percentage formula (v.p.f - g) / v.p.f * 100 with a step-by-step simplification. Learn how variables v, p, and f, along with constant g, influence the outcome. Suitable for Grades 9-12 students and anyone interested in algebraic equations and percentages.

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