answer:
To divide -8/7 by 2/5 and express the answer as a simplified fraction, we can follow these steps:
1. Invert the second fraction, 2/5, to find its reciprocal. The reciprocal of 2/5 is 5/2.
2. Multiply the first fraction, -8/7, by the reciprocal of the second fraction, 5/2.
(-8/7) * (5/2) = (-8 * 5) / (7 * 2)
3. Multiply the numerators (-8 * 5) to get -40, and multiply the denominators (7 * 2) to get 14.
(-8/7) * (5/2) = -40/14
4. Simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 40 and 14 is 2.
-40/14 = (-20 * 2) / (7 * 2) = -20/7
Therefore, -8/7 divided by 2/5 as a simplified fraction is -20/7.
real