What is the repeating decimal 0.7777.... as a fraction in simplest form?

3 answers

7 over 9 7/9
x = 0.7777...

10 x = 10 ∙ 0.7777... = 7.7777...

10 x - x = 7.7777... - 0.7777...

9 x = 7

Divide both sides by 9

x = 7 / 9
Yas
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