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anonymous
 4 years ago
Perform the indicated operation. 9/321/16
I did the math:
9*16/32*16  1*32/32*16 = 144/512  32/512 = 112/512
How would I simplify this?
anonymous
 4 years ago
Perform the indicated operation. 9/321/16 I did the math: 9*16/32*16  1*32/32*16 = 144/512  32/512 = 112/512 How would I simplify this?

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theEric
 4 years ago
Best ResponseYou've already chosen the best response.1I would recommend that you start like so: \[\frac{9}{32}\frac{1}{16}=\]\[\frac{9}{32}\frac{1*2}{16*2}=\] \[\frac{9}{32}\frac{2}{32}= \frac{7}{32}\]

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1However, \[\frac{112}{512}\]is also correct, and we can simplify it so you know how for another time!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Oh ok, that would be great if you could help with that. Im lost with that big of a number

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1Okay! The quickest way is to divide by the "greatest common factor". But then you have to know the greatest common factor. So instead, I divide top and bottom by prime numbers to get whole numbers on top and bottom until I can't anymore!

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1I divide top and bottom by two until I get a decimal from one.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So divide them by 2 until the smallest number can't divide down?

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1\[\frac{112}{512}=\frac{112\div2}{512\div2}=\frac{56}{256}\]

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1Yep! Keep on dividing down.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Oh, I kept dividing till I got 1/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0But the answers are: 1/4. 5/16. and 7/32

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1\[\frac{56\div2}{256\div2}=\frac{28}{128}\]

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1\[\frac{28\div2}{128\div2}=\frac{14}{64}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh so just divide by 2 one more time?

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1\[\frac{14\div2}{64\div2}=\frac{7}{32}\]

theEric
 4 years ago
Best ResponseYou've already chosen the best response.17 is a prime number, so it can't be divided by anything but itself to get a whole number. So you could divide top and bottom by 7, but 7 doesn't go evenly into 32, so you're left with \[\frac{7}{32}\]

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1The trick is dividing by prime numbers as long as you can.

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1Once you hit a prime number, you know it can be divided only by itself. Once a prime number is on the bottom, you're done (unless you divide the bottom by itself, and then you don't have a fraction). For the top, just keep trying to divide by prime numbers until there are no prime numbers left that are smaller than the number on top.

theEric
 4 years ago
Best ResponseYou've already chosen the best response.1Thanks! Take care! Ask any followup questions here and I'll look for them later! Lists of prime numbers are on the internet!
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