Final answer:
To solve (-3/5)(-10/3)(-2/9), multiply the numerators and denominators separately. The product of the numerators is -60 and the product of the denominators is 135, giving the fraction -60/135. Simplified, the answer is -4/9.
Step-by-step explanation:
The problem to solve is the multiplication of three negative fractions: (-3/5)(-10/3)(-2/9). To solve this, we multiply the numerators together and the denominators together separately. Multiplying the numerators: -3 * -10 * -2 gives us 60. But since there is an odd number of negative signs, the result is negative. Thus, -60 is the numerator. Multiplying the denominators: 5 * 3 * 9 gives us 135. So, the denominator is 135.
Putting the numerator and the denominator together, we have the fraction -60/135. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 15. Therefore, the simplified answer is -4/9.