Express 0.501501501... as a fraction in lowest terms. (Please refer to the image attached)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Express 0.501501501... as a fraction in lowest terms. (Please refer to the image attached)
EXAMPLE 6.
Express 0.121212... as a fraction in lowest terms.
SOLUTION
The expression 0.121212. .. can be written as an infinite series.
0.121212...= 0.12+0.0012+0.000012+..
0.0012
where a, =0.12 and r=
=0.01
0.12
0.12
0.12
12
4
Hence, S=0.121212...
%3D
1-0.01
0.99
99
33
Transcribed Image Text:EXAMPLE 6. Express 0.121212... as a fraction in lowest terms. SOLUTION The expression 0.121212. .. can be written as an infinite series. 0.121212...= 0.12+0.0012+0.000012+.. 0.0012 where a, =0.12 and r= =0.01 0.12 0.12 0.12 12 4 Hence, S=0.121212... %3D 1-0.01 0.99 99 33
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