Find the rational number representation of the repeating decimal. $0 . \overline { 157 }$
A) $\frac { 157 } { 9999 }$
B) $\frac { 15.7 } { 999 }$
C) $\frac { 157 } { 9 }$
D) $\frac { 157 } { 999 }$
E) $\frac { 157 } { 99 }$

Question

Quizplus · Accepted Answer

To convert a repeating decimal to a fraction, you can use the formula $x = \frac{a}{9...9}$, where $a$ is the repeating part and the number of 9s in the denominator is equal to the number of digits in the repeating part. Here, $0.\overline{157}$ converts to $\frac{157}{999}$.

Find the Rational Number Representation of the Repeating Decimal 0.157‾0 . \overline { 157 }0.157

Find the Rational Number Representation of the Repeating Decimal $0 . \overline { 157 }$