Convert the repeating decimal to a fraction.
-$0 . \overline { 8 }$
A) $\frac { 8 } { 99 }$
B) $\frac { 80 } { 999 }$
C) $\frac { 80 } { 99 }$
D) $\frac { 8 } { 9 }$

Question

Quizplus · Accepted Answer

The repeating decimal $0 . \overline { 8 }$ can be expressed as $\frac { 8 } { 9 }$ because multiplying $x = 0 . \overline { 8 }$ by 10 gives $8. \overline { 8 }$, and subtracting the original $x$ from this equation results in $9x = 8$, thus $x = \frac{8}{9}$.

Convert the Repeating Decimal to a Fraction 0.8‾0 . \overline { 8 }0.8

Convert the Repeating Decimal to a Fraction $0 . \overline { 8 }$