Answer :

Answer:

9/20

Step-by-step explanation:

12 * 15

---------

25 x 16

180/400

To reduce, find the greatest common factor of 180 and 400.

180 / 20

-----------

400 / 20

Your answer would simplify to 9/20.

Final answer:

To find the simplest form of the product 12/25 × 15/16, you multiply the numerators and denominators, then simplify by canceling out the common factors, resulting in 9/20.

Explanation:

To find the product in simplest form for the multiplication of fractions 12/25 and 15/16, you multiply the numerators together to get the new numerator, and the denominators together to get the new denominator. Thus, the product will be (12 × 15) / (25 × 16). Simplifying this, 12 and 16 have a common factor of 4, and 15 and 25 have a common factor of 5. Then,

(12/4) × (15/5) = 3 × 3 and (25/5) × (16/4) = 5 × 4.

So, the product simplifies to 9/20.