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Convert the decimal expansion 0.2777... to a fraction.
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Convert the decimal expansion 0.2777... to a fraction.

User HenryRootTwo
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1 Answer

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a = 0.2777 ... = 0.2(7)

10a = 10 * 0.2(7)=2.(7)
100a = 100 * 0.2(7) = 27.(7)

100a - 10a = 27.(7) - 2.(7)
90a = 25


a=(25)/(90)=(5)/(18)

User Simpanoz
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