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sadWhat is the fractional equivalent of the repeating decimal n = 0.1515... ? Answer the questions to find out. 1. How many repeating digits does the number represented by n have?

 Sep 4, 2019
edited by Guest  Sep 4, 2019

Practice HERE once you see my explanation. Please practice if you want to be good at this!



Short answer: How many digits are repeated? 2, exactly (1 and 5). So 2 digits, you have 99. If you have one digit repeated (like 0.3333...) then its 9.


So, because of its 99. The answer is 15/99. Try to get what I mean.



Long answer:




x = 0.151515151515...


100x = 15.1515151515.....                         (to get this equation you multiply the above by 100)


Based on the red above, use elimination.


99x = 15                    (solve for x)


x = 15/99

 Sep 4, 2019
edited by CalculatorUser  Sep 4, 2019

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