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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
 #1
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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:

 

0.151515151515....

 

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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