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Geometric Series - Expressing a Decimal as a Rational Number

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Uploaded by on Feb 12, 2009

Geometric Series - Expressing a Decimal as a Rational Number.
In this video I show how to convert the number 5.1212121212..... into a fraction using geometric series.
For more free math videos, visit http://JustMathTutoring.com

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Uploader Comments (patrickJMT)

  • 507/99 isn't simplified. It's equal to 169/33.

  • @jkid1134 okie dokey - good enough

  • love you Patrick...

  • back at cha' : )

  • THANK YOU SO MUCH!!!!!

    FANTASTIC EXPLANATION

    I finally understand that stuff and am ready for the test tomorrow :)

  • good luck!

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All Comments (44)

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  • This is so coool. I never knew you could do this before. Thanks

  • ive wondered about this all my life... now its complete

  • How would you do 6.052454545.....?

    It appeared in our quiz and i got mental block :(

  • ur awesome pat!

  • I like to think of it as being a system of equations problem. You get x=5.12121212 so 100x= 512.121212 so when you subtract it works out nicely and you get 507=99x so 507/99. Exactly what you did, but this is how my professor always explained it as being. Pretty much the same process and the same results though.

  • " so that's why he's chillin' out front there. "

    you're my hero.

  • I wish my professors could explain stuff like this as well as you do!

  • What's a repeating decimal expansion again? ;P jk, love your vids. :)

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