Posted by Haile on Thursday, September 29, 2011 at 7:09pm.
Express the repeating decimal 0.513 (the 13 is repeating) as a fraction in lowest terms using the infinite geometric series method.

Math  bobpursley, Thursday, September 29, 2011 at 7:38pm
.513= .510+ 3/1000 + 3.10000+ 3/1E5 +3/1E6+ ...
notice that this is ...
= .510+ 3/1000 (1+ (1/10)+ (1/10)^3+..)
sum of
= .510 + 3/1000(1/.9)=+510/1000+3/900
= (510*9+300)/9000 check that
= (4590+ 300) /9000 = 4890/9000=489/900

Math  Haile, Thursday, September 29, 2011 at 10:53pm
the 1 and the there are repeating so it's .513131313131313... and 489/900 isn't giving me that. could you explain it again?

Math  mia, Monday, September 10, 2012 at 5:00pm
what 9,000=900x_

Math  Hai., Tuesday, September 15, 2015 at 5:26am
ed
Answer This Question
Related Questions
 Math  Express the repeating decimal 0.513 (the 13 is repeating so the decimal ...
 math  1)Find a1 in a geometric series for which Sn=300,r=3,and n=4 A)15 B)15/2...
 math(need 2nd opinion)  1)Find a1 in a geometric series for which Sn=300,r=3,...
 math  Express the repeating decimal 0.2323 as a geometric series, and write its...
 Math test  I just wanna say thank you sooo much for helping me with my other ...
 sequence and series  express the given repeating decimal 0.159159159 as a ...
 Math  Find the sum of the infinite geometric series 36+24+16+...if it exists. r...
 math  Find the mixed number or rational fraction in lowest terms represented by...
 Math  Which one of the following is an example of a repeating decimal? A. 0....
 Advanced Algebra (Infinite Geometric Series)  Convert 8.690909 . . . into a ...
More Related Questions