What 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?
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.
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