You multiply across the top and then bottom of the sum, for example: 1/5 x 2/3 = 2/15
These sums can also be simplified before multiplying so the answer is a smaller fraction, for example: unsimplified 2/10 x 3/15 = 6/150, or simplified 2/10 x 3/15 = 1/5 x 1/3 = 1/15, these answers are the same just the second is an easier piece of data to work with and what examiners look for. Simplifying the fractions before multiplication is also easier than doing it afterwards.
Simplifying can be carried out across different fractions during multiplication as long as one is a numerator (on the top) and one is a denominator (on the bottom), for example: 3/10 x 2/9
= 1/10 x 2/3 (where 3 and 9 cancel)
= 1/5 x 1/3 (where 2 and 10 cancel)
= 1/15
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Multiplying fractions is no problem top times top bottom times bottom. Dividing fractions is easy as pie, flip the second fraction and multiply. Your welcome!!!!! (: that is one math jingle.
When cross multiplying, finding the product of the means and extremes, you are technically getting a common denominator that reduces out.
When multiplying 2 fractions, we multiply the two numerators together and the two denominators together.
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
if you have mixed numbers you make them into improper fractions before you multiply