Actually you don't have to - but it's usually simpler that way.Here is the alternative method. Remember that a mixed number, such as 3 1/2, means that you add 3 + 1/2.
To multiply 2 by 3 1/2, you write this as 2 x (3 + 1/2), and use the distributive property, to multiply 2 x 3 + 2 x 1/2.
If you want to multiply two mixed fractions, you can multiply as follows. For example, to multiply 2 1/3 times 5 1/7, you write this as:
(2 + 1/3) x (5 + 1/7), and using the distributive property, you multiply each part on the left by each part on the right: 2 x 5 + 2 x 1/7 + 1/3 x 5 + 1/3 x 1/7
In this case, after multiplying the parts, you also need to convert the fractions to a common denominator in order to add them up. All in all, it becomes fairly complicated.
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you do what makes sense given the numbers, if the fractions work out beautifully, you can just leave them as mixed numbers, otherwise it's best to keep them as improper fractions
To convert a mixed number to an improper fraction, multiply the denominator by the whole number, add that total to the numerator and put the whole thing over the original denominator. 3 and 1/7 = 22/7
You multiply the whole number and the denominator. Then then you add the numerator to the product. Numerator: top of fraction Denominator: bottom of fraction Product: is when you multiply, for example 4 x 4 = 16 so 16 is the product.
Multiply the whole number part by the denominator of the fractional part and add the result to the numerator of the fractional part.
Multiply the numerator by the numerator, and the denominator by the denominator. If you find this explanation unclear, take this example: 9/8 (improper fraction) x 3/4 (simple fraction) = 27/32 (answer)---if you can simplify it, do so. If it is a mixed number (e.g. 1 3/4), change the mixed number to an improper fraction and follow the steps above. The same applies to simple fraction multiplying by simple fraction.