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In the tables below, I have listed fractions with denominators between 2 and 10 (plus some elevenths and twelfths). Also, I have listed fractions only in their lowest denominators. For instance, I don't list because it's equal to , which is covered in the "thirds" section of the tables.

Don't feel like you "have" to memorize these fractions and their equivalents — you don't — but you should at least be familiar with the nice neat decimal equivalents, such as for the eighths and fourths, and the easy repeating decimals, like for the thirds and ninths.

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Curious note: The elevenths convert to percentage for in terms of 9s. To find the whole-number part of the percentage, multiply the numerator by 9, and affix the original fraction and then the "%" sign.

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Another curious note: Check out the decimal expansions for the sevenths. They all contain the exact same sequence of digits: 5, 7, 14, and 28. After the 5, we get the first four multiples of 7. The only difference, in the various expansions, is where in the pattern the expansion starts — which is sometimes in the middle of one of the numbers in the sequence! Weird, huh?

And, yes, the elevenths, all the way through to , are repeated multiples of 9: 0909, 1818, 2727, on up to 9090.

URL: https://www.purplemath.com/modules/percents4.htm

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