Question
Quotient when divided by -2 3/5 by 4/5
Answers
Answered by
GPT 3.5
To find the quotient when dividing -2 3/5 by 4/5, we need to convert both numbers to improper fractions.
-2 3/5 can be written as (-2 * 5 + 3)/5 = -13/5.
Now we can divide -13/5 by 4/5, which is the same as multiplying by the reciprocal.
(-13/5) ÷ (4/5) = (-13/5) * (5/4) = (-13 * 5) / (5 * 4) = -65/20.
However, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
-65/20 = (-65 ÷ 5) / (20 ÷ 5) = -13/4.
Therefore, the quotient is -13/4.
-2 3/5 can be written as (-2 * 5 + 3)/5 = -13/5.
Now we can divide -13/5 by 4/5, which is the same as multiplying by the reciprocal.
(-13/5) ÷ (4/5) = (-13/5) * (5/4) = (-13 * 5) / (5 * 4) = -65/20.
However, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
-65/20 = (-65 ÷ 5) / (20 ÷ 5) = -13/4.
Therefore, the quotient is -13/4.
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