Evaluate the product: (2/3) × (6/8) × (2/3) × (3/4) = ?

Introduction: Multiply fractions by simplifying numerators and denominators before multiplying. This reduces computational effort and avoids large intermediate numbers. The final decimal form is requested by the options.

Given Data / Assumptions:

• Expression: (2/3) × (6/8) × (2/3) × (3/4)
• Standard fraction simplification applies.

Concept / Approach: Combine numerators and denominators first, then cancel common factors. Finally convert the simplified fraction to a decimal for the answer choice.

Step-by-Step Solution:

Verification / Alternative check: Incremental cancellations (e.g., 6/3 → 2; 3 in numerator with 3 in denominator) also lead to 1/4 quickly, confirming 0.25.

Why Other Options Are Wrong: 0.5 and 0.125 correspond to 1/2 and 1/8, not the computed 1/4; 1.45 and 11.8 are irrelevant orders of magnitude larger.

Common Pitfalls: Multiplying all factors first and then simplifying, which invites arithmetic errors; cancel early to stay accurate.

Final Answer: 0.25