What is the quotient when you divide −2 3/5 by 4/5?(1 point)
Responses
The quotient when you divide −2 3/5 by 4/5 is -2 15/4.
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To divide -2 3/5 by 4/5, you need to convert the mixed number -2 3/5 into an improper fraction. The improper fraction equivalent of -2 3/5 is (-2 * 5 + 3)/5 = -13/5.
Next, you can divide -13/5 by 4/5. To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
So, (-13/5) ÷ (4/5) = (-13/5) * (5/4)
Simplifying the numerator, -13 * 5 = -65.
Simplifying the denominator, 5 * 4 = 20.
Therefore, (-13/5) ÷ (4/5) = -65/20.