To determine the percent equivalent of \( \frac{1}{40} \), Weston correctly sets up the proportion and then follows the steps to find the answer. Let's go through the process step by step:
Step 1 - Setting Up the Proportion
He starts by setting up the equation: \[ \frac{1}{40} = \frac{?}{100} \]
Step 2 - Solving for the Question Mark
To solve for the unknown (question mark), we need to cross-multiply: \[ 1 \times 100 = ? \times 40 \] This simplifies to: \[ 100 = 40 \times ? \]
Step 3 - Isolating the Question Mark
Now, divide both sides by 40 to isolate the question mark: \[ ? = \frac{100}{40} \] Calculating \( \frac{100}{40} \) gives: \[ ? = 2.5 \]
Step 4 - Converting to Percentage
Now that we have the value of the question mark, we write it as a fraction over 100: \[ \frac{2.5}{100} \] To convert it to a percentage, we note that: \[ \frac{2.5}{100} = 2.5% \]
Conclusion
Therefore, the percent equivalent to \( \frac{1}{40} \) is: \[ \boxed{2.5%} \]
It seems there was an error in the original steps mentioned, particularly in claiming 2.5 over 100 equates to 25%. The correct percent equivalent is 2.5%.