Question

What is the rule for multiplying :

Proper fractions
Improper fractions
Mixed fractions

what is the rule for dividing:

Proper fractions
Improper fractions
Mixed fractions

Answer 1

Multiply

So, to multiply two mixed numbers, rewrite each as an improper fraction and then multiply as usual. Multiply numerators and multiply denominators and simplify. And, as before, when simplifying, if the answer comes out as an improper fraction, then convert the answer to a mixed number. Multiply.

Dividing

Change both mixed numbers to improper fractions. Invert the second improper fraction, then multiply it by the first fraction to get the answer. Reduce it if possible, and convert it to a mixed number if desired.

Explanation:

Answer 2

MULTIPLYING

Proper fractions: The first step when multiplying fractions is to multiply the two numerators.

Improper: The first step is to convert all the fractions into improper fraction.

Mixed: Multiply the numerators from each fraction to each other and place the product at the top.

DIVIDING

Proper: Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.

Improper: When you divide by a fraction, you want to cancel the second fraction by changing it to a 1

Mixed: To divide mixed fractions, you could first convert each to an improper fraction.

Explanation:

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