How to convert a repeating decimal to a fraction when only 1 digit is repeating?

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11-12-2017
Mathematics

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How to convert a repeating decimal to a fraction when only 1 digit is repeating?

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michaelchenko michaelchenko · Answer 1 · 2017-12-11T12:47:36+01:00

michaelchenko michaelchenko

11-12-2017

Example 0.777777

x = 0.77
10(x = 0.77) ----(10 because it is repeating by the tenth digit. if repeating by 2 digits like 0.2828, you'll multiply by 100)

10x = 7.77
-(x = 0.77)
9x = 7.00
x = 7/9

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