Find the rational number representation of the repeating decimal. $0 . \overline { 167 }$
A) $\frac { 167 } { 9999 }$
B) $\frac { 16.7 } { 999 }$
C) $\frac { 167 } { 9 }$
D) $\frac { 167 } { 999 }$
E) $\frac { 167 } { 99 }$

Question

Quizplus · Accepted Answer

To convert a repeating decimal to a fraction, you place the repeating digits over the same number of 9s. Since $0.\overline{167}$ has three repeating digits, it is represented as $\frac{167}{999}$.

Find the Rational Number Representation of the Repeating Decimal 0.167‾0 . \overline { 167 }0.167

Find the Rational Number Representation of the Repeating Decimal $0 . \overline { 167 }$