Compare three quantities in different forms: Which is greatest among 33 1/3%, 4/15, and 0.35?

Introduction / Context:
Comparing values presented as a percent, a fraction, and a decimal is a common skill. The easiest route is to convert all three to the same form (usually decimals) and then compare.

Given Data / Assumptions:

• 33 1/3% = 1/3 = approximately 0.3333…
• 4/15 ≈ 0.2666…
• 0.35 is already a decimal.

Concept / Approach:
Convert each to decimal (or to percent) and compare numerically. Ensure adequate precision to avoid ties caused by rounding.

Step-by-Step Solution:

Verification / Alternative check:
As percents: 33 1/3% ≈ 33.33%; 4/15 ≈ 26.67%; 0.35 = 35%. The largest is 35%.

Why Other Options Are Wrong:

• 33 1/3% is smaller than 0.35.
• 4/15 is the smallest of the three.
• “Cannot be compared” is incorrect; precise decimal equivalents make comparison straightforward.

Common Pitfalls:
Misconverting the mixed percent or the fraction. Write at least three to four decimal places for a clean comparison.

Final Answer:
0.35