Final answer:
The product of the fractions 2/3 and -4/5 is calculated by multiplying the numerators together to get -8 and the denominators together to get 15, resulting in the fraction -8/15.
Step-by-step explanation:
To calculate the product 2/3 * -4/5, we need to multiply the numerators together and the denominators together. Multiplication of fractions does not require a common denominator, only that each numerator is multiplied by the other numerator and each denominator is multiplied by the other denominator. Let's break it down:
- Multiply the numerators: 2 * (-4) = -8.
- Multiply the denominators: 3 * 5 = 15.
- Put the product of the numerators over the product of the denominators to form a fraction: -8/15.
Therefore, 2/3 * -4/5 as a fraction is -8/15.