The Math Forum

Ask Dr. Math - Questions and Answers from our Archives
Associated Topics || Dr. Math Home || Search Dr. Math

Fractions for Repeating Decimals

Date: 5/14/96 at 15:12:32
From: Anonymous
Subject: Fractions for repeating decimals

Question: Convert 3.04050505.... into a fraction.

Answer:  x = 3.04050505....

100x = 304.05050505...

Now what?

Date: 5/17/96 at 10:17:11
From: Doctor Ethan
Subject: Re: Fractions for repeating decimals


  You're off to a great start.  Now all you need to do is subtract.

100x  =   304.05050505050505
 - x  =     3.04050505050505
 99x  =   301.01

Now we need to multiply both sides by 100

 9900x = 30101

So x = 30101/9900

and it is in the form of a fraction.

-Doctor Ethan,  The Math Forum
 Check out our web site!   
Associated Topics:
Elementary Fractions
Middle School Fractions

Search the Dr. Math Library:

Find items containing (put spaces between keywords):
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words

Submit your own question to Dr. Math

[Privacy Policy] [Terms of Use]

Math Forum Home || Math Library || Quick Reference || Math Forum Search

Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.