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when multiplying two fractions together it is possible just to take the numerators and multiply those together to get your numerator in this case 9 times 5 is 45 and then multiply your denominators together to get your denominator and 10 times 12 is 120 and then you can take that resulting fraction and reduce to lowest terms however you will oftentimes end up with a fraction that is very difficult for many people to reduce so what we are going to do is we are going to reduce the problem itself so the answer we get is already in lowest terms to achieve this we are going to use cancellation to use cancellation you must first identify one numerator in your problem and one denominator that share a common factor for example 9 is a numerator and 12 is a denominator and they each share the common factor of 3 what you do is you cross out each one of those numbers and then you change it to however many times the common factor fits inside each number for example 3 can be divided into 9 3 times