Express the repeating decimal as a fraction in lowest terms.
-$0 . \overline { 77 } = \frac { 77 } { 100 } + \frac { 77 } { 10,000 } + \frac { 77 } { 1,000,000 } + \ldots$
A) $\frac { 7777 } { 10000 }$
B) $\frac { 7777 } { 999 }$
C) $\frac { 7 } { 9 }$
D) $\frac { 7700 } { 999 }$

Question

Quizplus · Accepted Answer

The repeating decimal $0.\overline{77}$ can be expressed as $\frac{77}{99}$, which simplifies to $\frac{7}{9}$ in lowest terms.

Express the Repeating Decimal as a Fraction in Lowest Terms 0.77‾=77100+7710,000+771,000,000+…0 . \overline { 77 } = \frac { 77 } { 100 } + \frac { 77 } { 10,000 } + \frac { 77 } { 1,000,000 } + \ldots0.77=10077​+10,00077​+1,000,00077​+…

Express the Repeating Decimal as a Fraction in Lowest Terms $0 . \overline { 77 } = \frac { 77 } { 100 } + \frac { 77 } { 10,000 } + \frac { 77 } { 1,000,000 } + \ldots$