3 years ago

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

1 answer:

andrey2020 [161]3 years ago

5 0

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

$a=\frac{25}{90}=\frac{5}{18}$

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