Find the rational number representation of the repeating decimal. $$0.\overline{725}$$
A) $\frac { 725 } { 99 }$
B) $\frac { 999 } { 725 }$
C) $\frac { 725 } { 9 }$
D) $\frac { 725 } { 999 }$
E) $\frac { 725 } { 9999 }$

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. Since the repeating part here is 725, which has three digits, the fraction is $\frac{725}{999}$.

Find the Rational Number Representation of the Repeating Decimal 0.725‾0.\overline{725}0.725 A) 72599\frac { 725 } { 99 }99725​

Find the Rational Number Representation of the Repeating Decimal $0.\overline{725}$ A) $\frac { 725 } { 99 }$