anonymous
  • anonymous
Perform the indicated operation. 9/32-1/16 I did the math: 9*16/32*16 - 1*32/32*16 = 144/512 - 32/512 = 112/512 How would I simplify this?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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theEric
  • theEric
I 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
  • theEric
However, \[\frac{112}{512}\]is also correct, and we can simplify it so you know how for another time!
anonymous
  • anonymous
Oh ok, that would be great if you could help with that. Im lost with that big of a number

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theEric
  • theEric
Okay! 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
  • theEric
I divide top and bottom by two until I get a decimal from one.
anonymous
  • anonymous
So divide them by 2 until the smallest number can't divide down?
theEric
  • theEric
\[\frac{112}{512}=\frac{112\div2}{512\div2}=\frac{56}{256}\]
theEric
  • theEric
Yep! Keep on dividing down.
anonymous
  • anonymous
Oh, I kept dividing till I got 1/2
anonymous
  • anonymous
But the answers are: 1/4. 5/16. and 7/32
theEric
  • theEric
\[\frac{56\div2}{256\div2}=\frac{28}{128}\]
theEric
  • theEric
\[\frac{28\div2}{128\div2}=\frac{14}{64}\]
anonymous
  • anonymous
oh so just divide by 2 one more time?
theEric
  • theEric
\[\frac{14\div2}{64\div2}=\frac{7}{32}\]
theEric
  • theEric
7 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
  • theEric
The trick is dividing by prime numbers as long as you can.
theEric
  • theEric
Once 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
  • theEric
Thanks! Take care! Ask any follow-up questions here and I'll look for them later! Lists of prime numbers are on the internet!

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