Question

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

Answer 1

5/33

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

Answer 2

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