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
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