Answer :

To find the product of 2/9 times 14/15 times -9/10, multiply the numerators and the denominators together and then simplify. The final answer is -14/75.

When calculating 2/9 times 14/15 times -9/10, we multiply the numerators together and the denominators together.

Here's the step-by-step calculation:

  • Multiply the numerators: 2 x 14 x -9 = -252.
  • Multiply the denominators: 9 x 15 x 10 = 1350.
  • Combine the two parts: -252/1350.
  • Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 18: (-252 \/ 18) / (1350 \/ 18) = -14 / 75.

The final answer is -14/75.