When dividingreal numbers, the quotient will be positive if the signs are the same and it will be negative if the signs are different.
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Same Sign & Different Signs
(+) Ă· (+)=(+) & (+) Ă· (-)=(-)
(-)Ă· (-)=(+) & (-)Ă· (+)=(-)In our case one number is positive and one number is negative, so the product will be negative.
5/2 Ă· (- 4/5 ) = - 5/2 Ă· 4/5
Now, recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
- 5/2 Ă· 4/5 = - 5/2 * 5/4
Finally, we can multiply the fractions. When doing so, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!
