SOLUTION: When dividing a set of fractions, why do you take the reciprocol of the second fraction and change it to multiplication?

Question 489336: When dividing a set of fractions, why do you take the reciprocol of the second fraction and change it to multiplication?
Answer by Flannery(124) (Show Source): You can put this solution on YOUR website!
You do it because multiplication and division are inverse operations, that is to say they are the opposites of each other. A similar question is "Why is
3 +(-3) a subtraction problem?" Because adding the opposite of a number is subtracting the number. The reciprocol of a fraction is it's opposite. Multiplying by the opposite of a fraction is dividing by the fraction.
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