# SOLUTION: please help me with this problem:Expres .15(with the bar at the top of 15)as a fraction in simplest form.

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 Click here to see ALL problems on decimal-numbers Question 17663: please help me with this problem:Expres .15(with the bar at the top of 15)as a fraction in simplest form.Answer by mmm4444bot(95)   (Show Source): You can put this solution on YOUR website!Hello There: In case you don't know, the bar indicates that the digits below it repeat forever. Here is an algebraic method to find the fraction for 0.1515151515... x = 0.151515... Now, multiply x by 100 to get 100*x = 15.151515... The reason we choose to multiply by 100 is so that the repeating parts will line up if we subtract the first equation from the second. In other words: 100*x = 15.151515... x = 0.151515... ----------------------------- 99x = 15 Divide both sides by 99 to solve for x. x = 15/99 The numerator and denominator are both divisible by 3, so we can reduce this fraction. x = 5/33 ~ Mark