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How is multiplying mixed numbers different than multiplying fractions?

User DMML
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2 Answers

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Final answer:

Multiplying mixed numbers requires converting them to improper fractions, multiplying the fractions, and then possibly converting the product back into a mixed number.

Step-by-step explanation:

Multiplying mixed numbers is slightly different than multiplying fractions. To multiply mixed numbers, you need to first convert them to improper fractions. Then, you can multiply the improper fractions as you would with regular fractions. Finally, you can convert the resulting product back into a mixed number if needed.

For example, let's say we want to multiply the mixed numbers 2 1/2 and 3 3/4. Firstly, we convert both numbers to improper fractions: 2 1/2 becomes 5/2 and 3 3/4 becomes 15/4. Next, we multiply these two fractions: (5/2) * (15/4) = 75/8. Finally, we can convert the product 75/8 back into a mixed number, which is 9 3/8.

User Ju Nogueira
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The difference could be that it is more difficult than multiplying improper/regular fractions. Multiplying improper/regular fractions makes it much easier by just multiplying the numerator and denominator of the fractions while mixed fractions require more steps. After multiplying the fractions you just need to simplify.
User Markus Persson
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