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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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Q: How does math work with multiplying fractions?
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