![]() ![]() First, convert the whole number to an improper fraction. Divide 2 into 4 and 2.Īs you can see, this method is also useful for multiplying more than two fractions.Įxample 4: Multiply by dividing out common factors.Īnalysis: We are multiplying a whole number by a fraction. Let's look at some examples using this procedure.Įxample 3: Multiply by dividing out common factors.Īnalysis: Divide 3 into 3. The factor being divided out can appear in any numerator and any denominator. Procedure: To multiply fractions by cancelling common factors, divide out factors that are common to both a numerator and a denominator. The following is the procedure for multiplying fractions with cancelling of factors. Let's look at more examples of multiplying fractions with cancelling common factors.Įxample 2: Multiply by dividing out common factors.Īnalysis: Divide 15 into 15. The product is a fraction that is reduced to lowest terms. We divided 3 into 9 and 21, and we divided 2 into 10 and 16. We can cancel (divide out) common factors before we multiply.This can get tedious, especially given the large numbers in the problem. We can reduce the result to lowest terms as we did above.There are two ways to solve this problem: Solution: We will multiply these two fractions, and then simplify the result.
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