SOLUTION: find the mixed or rational fraction in lowest terms represented by the repeating decimal. 1.363636?

Algebra ->  Decimal-numbers -> SOLUTION: find the mixed or rational fraction in lowest terms represented by the repeating decimal. 1.363636?      Log On


   

Question 395402: find the mixed or rational fraction in lowest terms represented by the repeating decimal. 1.363636?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the mixed or rational fraction in lowest terms represented by the repeating decimal. 1.363636
------
Let x be the fraction.
----
100x = 135.363636...
x = 1.363636...
-------------------------
Subtract to get:
99x = 134
x = 134/99
===============
Cheers,
Stan H.