Question

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

0
.
1515

.

.

.

Answer 1

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

0.1515... = 5 / 33

Explanation: