The repeating decimal 0.5555... can be expressed as the rational number

A) $\frac { 5 } { 9 }$
B) $\frac { 49 } { 90 }$
C) $\frac { 499 } { 900 }$
D) $\frac { 4999 } { 9000 }$
E) $\frac { 89,999 } { 90,000 }$

Question

The repeating decimal 0.5555... can be expressed as the rational number

A) $\frac { 5 } { 9 }$
B) $\frac { 49 } { 90 }$
C) $\frac { 499 } { 900 }$
D) $\frac { 4999 } { 9000 }$
E) $\frac { 89,999 } { 90,000 }$

Quizplus · Accepted Answer

0.5555... is equivalent to $\frac{5}{9}$ because in decimal to fraction conversion, a repeating decimal of one digit (like 5) is placed over 9.

The Repeating Decimal 0 59\frac { 5 } { 9 }95​