Question

How would you convert the repeating, nonterminating decimal into a fraction? Explain the process as you solve the problem. 0.1515

Answer 1

first  multiply  the 0.1515...... by 100
Let x = 0.1515..
100x       = 15.15..
      x      =  00.15...   Now subtract:-
------          --------
 99x       = 15 

so 99x = 15  giving x = 15/99  answer

Answer 2

Answer:

5/33

Step-by-step explanation:

x = 0.1515

100 x = 15.1515

100 x - x = 15.1515 - 0.1515

99 x = 15

x = 15 / 99 = 3 ∙ 5 / 3 ∙ 33 = 5 / 33

0.15165 = 5 / 33