Express the repeating decimal as a fraction. $0 . \overline { 8 }$
A) $\frac { 801 } { 902 }$
B) $\frac { 4 } { 5 }$
C) $\frac { 111 } { 125 }$
D) $\frac { 1143 } { 1286 }$
E)none of these

Question

Quizplus · Accepted Answer

To convert a repeating decimal to a fraction, let $x = 0.\overline{8}$. Multiplying both sides by 10 gives $10x = 8.\overline{8}$. Subtracting the original equation from this gives $9x = 8$, so $x = \frac{8}{9}$, which is not listed among the options.

Express the Repeating Decimal as a Fraction 0.8‾0 . \overline { 8 }0.8

Express the Repeating Decimal as a Fraction $0 . \overline { 8 }$