Compute the product of 5/6, 3/4, and 9/10.

• A. 9/16
• B. 27/40
• C. 9/20
• D. 27/80

Answer: (A)

When multiplying fractions, multiply the numerators together and the denominators together, then simplify. You can simplify by canceling common factors across the fractions before multiplying to keep the numbers small.

For 5/6 times 3/4 times 9/10, you can cancel 3 with 6 to get 1 and 2, turning the product into (5/2) times (1/4) times (9/10). Now multiply the numerators and denominators: 5×1×9 = 45 and 2×4×10 = 80, giving 45/80. This reduces by a factor of 5 to 9/16.

So the product is 9/16. The other options don’t equal 9/16 (for example, 27/40 ≈ 0.675, 9/20 = 0.45, 27/80 ≈ 0.3375).