Write the repeating decimal as a fraction.
-$0 . \overline { 6 }$
A) $\frac { 6 } { 10 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 66 } { 100 }$
D) $\frac { 66 } { 999 }$

Question

Quizplus · Accepted Answer

The repeating decimal $0.\overline{6}$ means 0.6666... indefinitely. To convert it into a fraction, you can set it as $x = 0.\overline{6}$, multiply by 10 to shift the decimal point (10x = 6.\overline{6}\), and then subtract the original equation from this to eliminate the repeating part, resulting in $9x = 6$, which simplifies to $x = \frac{2}{3}$.

Write the Repeating Decimal as a Fraction 0.6‾0 . \overline { 6 }0.6

Write the Repeating Decimal as a Fraction $0 . \overline { 6 }$