Difficulty: Easy
Correct Answer: 10%
Explanation:
Introduction / Context:
This requires comparing two fractions by forming a ratio and then converting the ratio to a percentage. It is a clean illustration of “what percent of A is B,” which translates to (B/A)*100%.
Given Data / Assumptions:
We need percent = (1/35) ÷ (2/7) * 100%.
Concept / Approach:
Division of fractions becomes multiplication by the reciprocal. Compute (1/35) * (7/2) and then multiply by 100 to express as percent. Simplify carefully to avoid mistakes in cancellation.
Step-by-Step Solution:
Verification / Alternative check:
Equivalently, note that 1/35 is exactly one-tenth of 2/7 (since 2/7 = 10/35). Hence 10% is immediate.
Why Other Options Are Wrong:
2.5%, 5%, 20%, and 25% do not equal the exact ratio 1/10. Only 10% matches.
Common Pitfalls:
Inverting the wrong fraction or accidentally adding fractions. Always write the percent question as (part/whole)*100%.
Final Answer:
10%
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