does the value of -2/5x5/9 not equal -2/9

No, the value of (-2/5)(5/9) does not equal -2/9.

To find the value, we multiply the numerators (-2 * 5) and the denominators (5 * 9) separately, which gives us (-10/45).

Simplifying the result, we can reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5. Doing so, we get (-2/9).

Therefore, the correct value is -10/45, not -2/9.