Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

Thank you for watching the video.

To unlock all 5,300 videos, start your free trial.

Geometric Series - Problem 11

Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

Share

If a decimal has one term that repeats infinitely, you can write that decimal as a fraction using the formula for an infinite geometric series. First, you need to re-write the decimal as a series by writing out each term being added to the next. Here, if only one digit repeats, you'll be adding one zero each time in front of the digit. Your r value is the ratio of a term to the one previous- in this case, if only one digit repeats, r will be 1 /10. From there, use the formula for an infinite geometric series to write your fraction, and then reduce it by multiplying by the reciprocal of the denominator. Check your work on a calculator using the f - > d or d - > f command.

Transcript Coming Soon!

© 2016 Brightstorm, Inc. All Rights Reserved. Terms · Privacy