Compute (4/5) × (2/3) × (5/6).

• A. 4/9
• B. 2/3
• C. 1/3
• D. 5/9

Answer: (A)

When you multiply fractions, multiply all the numerators together and all the denominators together, and you can reduce by canceling common factors before or after multiplying.

Here, you can cancel across the fractions to keep numbers small: pair the first and last fractions, (4/5) and (5/6). The 5 cancels, leaving 4/6, which simplifies to 2/3. Now multiply by the middle fraction: (2/3) × (2/3) = 4/9.

Equivalently, multiply all numerators and all denominators and then simplify: (4 × 2 × 5) / (5 × 3 × 6) = 40/90 = 4/9.

So the product is 4/9.