Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

jewjewbri Group Title

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?

  • one year ago
  • one year ago

  • This Question is Closed
  1. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I would recommend that you start like so: \[\frac{9}{32}-\frac{1}{16}=\]\[\frac{9}{32}-\frac{1*2}{16*2}=\] \[\frac{9}{32}-\frac{2}{32}= \frac{7}{32}\]

    • one year ago
  2. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    However, \[\frac{112}{512}\]is also correct, and we can simplify it so you know how for another time!

    • one year ago
  3. jewjewbri Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh ok, that would be great if you could help with that. Im lost with that big of a number

    • one year ago
  4. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    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!

    • one year ago
  5. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I divide top and bottom by two until I get a decimal from one.

    • one year ago
  6. jewjewbri Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    So divide them by 2 until the smallest number can't divide down?

    • one year ago
  7. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{112}{512}=\frac{112\div2}{512\div2}=\frac{56}{256}\]

    • one year ago
  8. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yep! Keep on dividing down.

    • one year ago
  9. jewjewbri Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, I kept dividing till I got 1/2

    • one year ago
  10. jewjewbri Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    But the answers are: 1/4. 5/16. and 7/32

    • one year ago
  11. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{56\div2}{256\div2}=\frac{28}{128}\]

    • one year ago
  12. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{28\div2}{128\div2}=\frac{14}{64}\]

    • one year ago
  13. jewjewbri Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    oh so just divide by 2 one more time?

    • one year ago
  14. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{14\div2}{64\div2}=\frac{7}{32}\]

    • one year ago
  15. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    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 \[\frac{7}{32}\]

    • one year ago
  16. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    The trick is dividing by prime numbers as long as you can.

    • one year ago
  17. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    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.

    • one year ago
  18. theEric Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanks! Take care! Ask any follow-up questions here and I'll look for them later! Lists of prime numbers are on the internet!

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.