Find the rational number representation of the repeating decimal. $0.\overline {859}$
A) $\frac { 859 } { 999 }$
B) $\frac { 859 } { 9 }$
C) $\frac { 859 } { 9999 }$
D) $\frac { 85.9 } { 999 }$
E) $\frac { 859 } { 99 }$

Question

Find the rational number representation of the repeating decimal.   $0.\overline {859}$
A)  $\frac { 859 } { 999 }$
B)  $\frac { 859 } { 9 }$
C)  $\frac { 859 } { 9999 }$
D)  $\frac { 85.9 } { 999 }$
E)  $\frac { 859 } { 99 }$

Quizplus · Accepted Answer

To convert a repeating decimal to a fraction, you place the repeating digits over the same number of 9s. For $0.\overline{859}$, you have three repeating digits, so you place 859 over three 9s, resulting in $\frac{859}{999}$.

Find the Rational Number Representation of the Repeating Decimal 0.859‾0.\overline {859}0.859

Find the Rational Number Representation of the Repeating Decimal $0.\overline {859}$