Understanding the Equation
To solve the equation \( \frac{20p}{3} = 40 \), we need to isolate the variable \( p \). Let's break down the steps:

Step 1: Eliminate the Fraction
- Multiply both sides of the equation by 3 to eliminate the denominator:
\[
3 \times \frac{20p}{3} = 3 \times 40
\]
- This simplifies to:
\[
20p = 120
\]

Step 2: Isolate the Variable \( p \)
- To isolate \( p \), divide both sides of the equation by 20:
\[
\frac{20p}{20} = \frac{120}{20}
\]
- This simplifies to:
\[
p = 6
\]

Step 3: Verify the Solution
- To ensure the solution is correct, substitute \( p \) back into the original equation:
\[
\frac{20 \times 6}{3} = \frac{120}{3} = 40
\]
- Since both sides of the equation are equal, the solution is verified.

Conclusion
The value of \( p \) is:
- \( p = 6 \)
Following these steps systematically helps in solving similar equations effectively. For more practice, consider exploring additional resources on platforms like EduRev.