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When multiplying fractions, the numerators (top numbers) are multiplied together and put as the numerator over the denominators (bottom numbers) multiplied together.
When adding fractions, they must both have the same denominator - the fractions are made into equivalent fractions with a common denominator; then the numerators are added together and put over the same common denominator.
In both cases of multiplication and addition, the resulting fractions are reduced to simplest form.
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What are the rules for adding subtracting multiplying and dividing fractions?
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How are adding fractions different?
When adding or subtracting fractions their denominators must be the same
How is multiplying mixed numbers different than multiplying fractions?
if you have mixed numbers you make them into improper fractions before you multiply
Why don't you have to find a common denominator when multiplying fractions?
Multiplying fractions is quite different from adding them. You just multiply the numberators and the denominators separately. You can find the common denominator if you like, but in the end (after simplifying), you'll get the same result, and the additional work of finding the common denominator and converting the fractions turns out to be unnecessary. Try it out for some fractions!
How do you subtract improper fractions with different denominators?
It's the same thing as adding or subtracting normal fractions - just make sure both fractions have the same denominators (by either multiplying the denominators or simplifying the fraction - whichever the question needs).
