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7 August, 12:15

What's 3.25 repeating as a fraction?

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  1. 7 August, 12:20
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    The answer is 322/99.

    Let x = 3.2525 ... (repeating). Multiply both sides by 100 because the rependent consists of 2 digits (if rependent consisted of 3 digits, both sides would be multiplied by 10^3 = 1000). 100x = 100 * 3.2525 ...; 100x = 325.2525 ...; Now, let's remove the rependent by subtracting x from 100x: 100x - x = 99x; 99x = 325.2525 ... - 3.2525 ...; So we have the whole number now: 99x = 322; Thus x = 322/99.
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