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Dividing Fractions

In dividing fractions, we have "a" divided by "b" divided by "c" divided by "d." What must we do with this is keep this first fraction, change the sign to multiplication, and then flip this last fraction. So this would equal "a" over "b" times "d" over "c." And if you watched the video in multiplying fractions, that means all we have to do is multiply across the top and then multiply across the bottom. So we have "a" times "d" divided by "b" times "c." And of course, I have an example for you. An example of this would be that we are going to simply keep this first fraction as normal, so we just have 8x squared divided by y squared. Then what we are going to do is change the sign to multiplication. After that, we going to take this fraction and then flip it. The 6 will now be in the numerator, and the 4x squared times y will be in the denominator. So now, first, notice that there are a couple of things that can cancel out. I can actually go ahead and cancel out the x squares. It looks like I can also cancel out an 8 and the 4, but remember, 4 goes into 8 twice. There is only a 1 left over in front of the 4. So, from here, I can simply multiply across the top, so I have 2 times 6, which is going to give me 12. Then over here, across the denominator, I have y squared times y, which gives me y cubed.

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