Write a repeating decimal as a fraction

What is 2.22222222222 as a fraction?

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x = 2.2222.......
10x = 22.2222...... {multiplied by 10 to get another equation with the same thing after the decimal}

10x = 22.2222.....
x = 2.2222....
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9x = 20 {subtracted equations}
x = 20/9 {divided each side by 9}

​20/9 = 2.2222.....

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