Convert mixed percentage to a fraction: Express 8 1/3% as a fraction in simplest form.

Introduction / Context:Converting a percentage into a fraction is a common operation in aptitude, especially for mental math. Mixed percentages like 8 1/3% require converting the mixed number to an improper fraction first and then dividing by 100 to reach a final fraction form.

Given Data / Assumptions:We are given 8 1/3%, which equals 8.333...%.

Concept / Approach:First, convert 8 1/3 to an improper fraction: 8 1/3 = 25/3. Then, interpret percent as “per 100”: (25/3)%. That equals (25/3) / 100 = 25 / (3 * 100) = 25/300. Finally, simplify 25/300 by dividing numerator and denominator by 25, giving 1/12.

Step-by-Step Solution:

Verification / Alternative check:As a decimal, 8 1/3% = 0.083333... which equals 1/12 (since 1/12 = 0.083333...).

Why Other Options Are Wrong:25/3 is the percent value as a fraction, not the fraction of a whole. 3/25 = 12% (incorrect). 1/4 = 25%. 2/15 ≈ 13.33%.

Common Pitfalls:Forgetting to divide by 100 when converting from percent to fraction. Always apply the “per hundred” step explicitly.

Final Answer:1/12