SOLUTION: simplified 4/5/6

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Question 1025440: simplified 4/5/6

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Which is it, 4%2F%285%2F6%29 or %284%2F5%29%2F6?

They are not the same!

If it's 4%2F%285%2F6%29, you write it 4/(5/6).

If it's %284%2F5%29%2F6, you write it (4/5)/6.

By the rules of PE(MD)(AS), if there are
no parentheses you always go left to right 
so 4/5/6 would say to divide the 4 by the
5 first, or %284%2F5%29%2F6%22%22=%22%22

4%2F5%22%F7%226

Put a 1 under the 6:

4%2F5%22%F7%226%2F1

Invert 6%2F1 and change ÷ to ×

4%2F5%22%D7%221%2F6

Since 2 will divide into the 4 in the
numerator of the first fraction and
also into the 6 in the denominator
of the second fractions, then do this:

%28%22%22%5E2cross%284%29%29%2F5%5E%22%22%29%22%D7%221%5E%22%22%2F%28%22%22%5E3cross%286%29%29

Then multiply the numbers in the numerator and
that will be the numerator of the answer.
Same for the denominator.

2%2F15

Next time use parentheses to group the correct
numbers and operations together.

Edwin