What is .03 (repeating) in a fraction?

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What is .03 (repeating) in a fraction?

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Answer 1 · 2015-11-06T22:18:17

$\frac{1}{33}$ $1/33$

Explanation:

Take .030303 and slide the decimal to the right twice.

3.030303 is our value (x) times 100.
$x = .03030303$ $x = .03030303$
$100 x = 3.030303$ $100x = 3.030303$
If we subtract these two items we get
$100 x - x = 3.030303 - .030303$ $100x -x = 3.030303-.030303$
$99 x = 3$ $99x = 3$
$x = \frac{3}{99}$ $x = 3/99$
Which we simplify to be $\frac{1}{33}$ $1/33$

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What is .03 (repeating) in a fraction?

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