Recall that dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
- 5/6 ÷ 3/10 = - 5/6 * 10/3
When multiplying real numbers, the product 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
(+)(+)=(+) & (+)(-)=(-)
(-)(-)=(+) & (-)(+)=(-)
In our case one number is negative and one number is positive, so the product will be negative.
When we multiply fractions, 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!
