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The easiest way is to write multiply by 10/10 until you get rid of the decimal point.

0.234 = 2.34/10 = 23.4/100 = 234/1000

This can be simplified by looking at the factors.

234 = 2 * 3 * 3 * 13

1000 = 2 * 2 * 2 * 5 * 5 * 5

234/1000 = (2*3*3*13)/(2*2*2*5*5*5) = (3*3*13)/(2*2*5*5*5) = 117/500

By eliminating all common factors, you know you've simplified the fraction as much as possible.

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Q: What is 0.234 as a fraction?
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