SOLUTION: How do you convert the recurring decimal 0.23333333 to a fraction. Give your answer in it's simplest form.

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice  -> Fraction to Decimal conversion -> SOLUTION: How do you convert the recurring decimal 0.23333333 to a fraction. Give your answer in it's simplest form.      Log On

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Question 1901: How do you convert the recurring decimal 0.23333333 to a fraction. Give your answer in it's simplest form.
Answer by khwang(438) About Me  (Show Source):
You can put this solution on YOUR website!

Let the upper bar means the repeatitive decimals.
_ _
0.23 = 0.2 + 0.03
_
= 0.2 + 1/10 * 0.3
(since by geometric series: 0.3 = 0.3/(1-0.1) = 0.3/0.9 = 3/9)

= 0.2 + 1/10 * 3/9
= 1/5 + 1/30
= 7/30

Kenny