Evaluate a decimal ratio precisely: Compute (.24 × .35) / (.14 × .15 × .02) and select the exact value.

Introduction / Context:Division of decimal products is easiest when we remove decimals by powers of 10 or compute numerically with careful place-value handling. This example keeps numbers small and clean, ideal for mental or quick written calculation.

Given Data / Assumptions:

• Numerator: 0.24 × 0.35
• Denominator: 0.14 × 0.15 × 0.02

Concept / Approach:Compute numerator and denominator separately, then divide. Alternatively, scale all terms by a sufficient power of 10 to clear decimals and simplify before division (the ratio remains unchanged).

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 2, 20, 2000: Each corresponds to a misplacement of decimal points or a missed zero during scaling.

Common Pitfalls:

• Losing track of total decimal places when multiplying three small decimals.
• Not simplifying common factors after clearing decimals.

Final Answer: