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To divide -2 3/5 by 4/5, we need to convert the mixed number -2 3/5 into an improper fraction.
-2 3/5 = -(2*5 + 3)/5 = -13/5
Now, we can divide -13/5 by 4/5:
(-13/5) / (4/5) = (-13/5) * (5/4) [flipping the divisor and multiplying]
= -13/4
Therefore, the quotient is -13/4.