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by spyrja
387 days ago
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Another easy way to understand it is to extend the idea of remainders to decimals. When we say N / D = Q r R that obviously means N = D * Q + R. For example 13 / 3 = 4 r 1 because 13 = 3 * 4 + 1. Likewise then 1 / 3 = 0.3(...) = 0.3 r 0.1 because 1 = 3 * 0.3 + 0.1, but also 1 / 3 = 0.3(...) = 0.33 r 0.01 because 1 = 3 * 0.33 + 0.01, etc. Hence 3 * 0.3(...) = 0.9(...) = 1. |
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