Repeating Decimal to Fraction Using Geometric Series(Challenging)

Learn how to convert repeating decimals into fractions in this free math video tutorial by Mario's Math Tutoring. We go through a more challenging example in this video.
0:21 Example 1 .08333333... Changing to a Fraction
0:37 Separate the Repeating Part From the Non-Repeating
1:18 Notice the Repeating Part is an Infinite Geometric Series
1:52 Infinite Geometric Series Formula to Find the Sum
3:18 How to Double Check Your Answer
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Related Videos:
Sum of an Infinite Geometric Series
• Sum of Infinite Geomet...
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[@aubertcordon8606]

Mario I wish you would have been my Cal 3 teacher. Because I never understood this series until this video. A little late since I took it 21 years ago.

[@nompav1882]

woah that’s crazy

[@rosette_renah]

This is a great video.Its straight to the point.Thanks

[@theflamebringer]

I saw this in my Calc 2 book and got so confused but you explained it really well!

[@CommanderQc]

Exactly what I was looking for. Very concise and clear!

[@MariosMathTutoring]

Glad it was helpful!

[@akhilperuri7249]

Mario, your teaching and handwriting makes it much easier to understand, thanks!

[@MariosMathTutoring]

You’re welcome Akhil!

[@RowieCracyHD]

Thank you for the help Mario! You’re an excellent instructor :)

[@MariosMathTutoring]

Glad my video helped you Charmelagne!

[@Anaperius]

Mario's Math Tutoring I watched this before my test, and I aced the test because of you!. Thank you so much!

[@MariosMathTutoring]

You’re welcome! Glad my video helped you Ace your test!

[@k.s72]

Thankyou so much for the video!!!! It was very helpful! Youre very good(:

[@MariosMathTutoring]

+Kandy Sid your welcome. Glad the video helped you!

[@Anaperius]

Earned my sub, amazing teacher

[@zizo-ve8ib]

thanks for the video it really helped a lot as I was searching for a way to convert repeating decimals to geometric series for my lessons I'm like grade 11 by the way

[@MariosMathTutoring]

Awesome! Glad my video was able to help you!

[@apmde]

You helped me so much, thank you!

[@MariosMathTutoring]

Your welcome! Glad my video and channel are helping you! Thanks for letting me know!

[@gerrit-jan]

very clear thank you

[@northofficially]

You are a legend my man

[@deepthishankar9825]

This helped me a lot❤️thankyou

[@mrandersonn3]

Thank you very much sir, I highly appreciate your videos ❤

[@MariosMathTutoring]

Glad you like them!

[@nazishvalliani]

Really helpful thanks!

[@MariosMathTutoring]

Glad my video helped you!

[@Lauren-yn9go]

Thanks heaps! Really helpful :)

[@MariosMathTutoring]

You’re welcome Lauren!

[@whitfeather1809]

THANK YOU SO MUCH!!!

[@MariosMathTutoring]

Your welcome!

[@nuralyabatrisyiabintiamran6895]

thank u,this is helping

[@madisonroberts258]

I am a sophomore in highschool why am I learning this my final is in an hour math is made up what even is this

[@thusisoundar5648]

thanks mario helped a lot

[@MariosMathTutoring]

Glad my video helped you Thusi!

[@pkiller3055]

Thanks a lot!

[@MariosMathTutoring]

You’re welcome!

[@Lorielsmith]

Thank you!!!

[@MariosMathTutoring]

You’re welcome Loriel!

[@hanidavis3944]

Omg this helped a lot, even 7 years later 😭

[@MariosMathTutoring]

Awesome! Glad it helped you!

[@mohammadmasoodmohammadmaso5459]

Very very helpful lecture

[@MariosMathTutoring]

Glad my video lesson helped you Mohammad!

[@tjsm_9024]

Where does the 9 come frome I'm confused but great video thanks

[@rosette_renah]

If you mean the 0.9,,using the sum to infinity formula,1-r=1-0.1=0.9

[@QueenJiyeonnie]

@@rosette_renah ohhh thank you sooo much

[@abdullahsharaawy]

thank you very much

[@MariosMathTutoring]

You are welcome

[@grace-bx1sy]

holy crap youre amazing

[@MariosMathTutoring]

Glad you like my videos Grace!

[@gmck8527]

thank u

[@MariosMathTutoring]

You're welcome!

[@NoraAlfraidi]

How did you the ratio 🤔

[@aunykussad2513]

You can find the ratio by dividing a term by its preceding term.
Ex: You can divide 0.0003 by 0.003. And that will give you the ratio, where r=.1

[@waitwhatme6323]

Shout out po sa LG ko na 10317 lols