SOLUTION: Simplify for 4 class 27/20 x 8/63 divide by 6/35

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Question 1015842: Simplify for 4 class
27/20 x 8/63 divide by 6/35

Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
%2827%2F20%29%288%2F63%29%286%2F35%29
To divide a fraction, we multiply by its reciprocal.
%2827%2F20%29%288%2F63%29%2835%2F6%29
Now, to do this by hand we look to see what can cancel out. Factors the same in top and bottom.
27 is 3*9 and 63 is 7*9 so we can divide both 27 and 63 by 9.
%283%2F20%29%288%2F7%29%2835%2F6%29
Now it should be clear, 35 is 5*7 so let's hit those.
%283%2F20%29%288%2F1%29%285%2F6%29
6 is 3*2 So that's next.
%281%2F20%29%288%2F1%29%285%2F2%29
And 8 is 4 * 2
%281%2F20%29%284%2F1%29%285%2F1%29
Now we see that with 4*5=20, the whole equation simplifies to 1/1.
When we first set this up, we might have simply multiplied across, and seen 7560/7560=1, but this method I showed is the way to do it in most cases, where the canceling will stop, and you will be left with a good fraction.