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hi in this video were going to talk about the algebra that lies behind canceling in a fraction incorrect canceling is actually one of the most common errors students make in algebra so by showing you the algebra behind the canceling whats going on when youre crossing those common factors out I think itll help you avoid those common cancelling errors okay and Im going to start with a numerical fraction suppose we were going to reduce 1215 now commonly what students do is they find a common factor or greatest common factor of 3 and they do something like this they mentally divide 12 by 3 and they cross it out right a 4 and they mentally divide the 15 by the 3 and cross it out and make a 5 and then your final answer is 4/5 and thats correct theres nothing wrong with that I just want to explain whats going on when you do that you can actually avoid crossing things out by factoring the 12 into 4 times 3 and factoring the 15 into 5 times 3 and then you can split this single fraction
