Find the rational number representation of the repeating decimal. $0.725$
A) $\frac { 725 } { 99 }$
B) $\frac { 999 } { 725 }$
C) $\frac { 725 } { 9 }$
D) $\frac { 725 } { 999 }$
E) $\frac { 725 } { 9999 }$

Question

Quizplus · Accepted Answer

The repeating decimal $0.\overline{725}$ can be converted to a fraction by recognizing that it represents $725$ repeating in every three decimal places, which corresponds to the fraction $\frac{725}{999}$, where 999 has as many 9s as the length of the repeating sequence.

Find the Rational Number Representation of the Repeating Decimal 0.7250.7250.725 A) 72599\frac { 725 } { 99 }99725​

Find the Rational Number Representation of the Repeating Decimal $0.725$ A) $\frac { 725 } { 99 }$