Question

What is the fractional equivalent of the repeating decimal n = 0.1515... ?

Please Answer the questions

1. How many repeating digits does the number represented by n have?


2.you need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 19 to multiply it by. And tell how you identified that number

3.write the original equation (n=0.1515) under your equations

4.subtract the equations, please show your work

Write n in its simplest form

Answer 1

Explanation:

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