Choose the one alternative that best completes the statement or answers the question.
-Write 0.272727... as a fraction. (Find the sum of the repeating decimal.)
A) $\frac { 3 } { 11 }$
B) $\frac { 6 } { 11 }$
C) $\frac { 3 } { 10 }$
D) $\frac { 1 } { 37 }$

Question

Choose the one alternative that best completes the statement or answers the question.
-Write 0.272727... as a fraction. (Find the sum of the repeating decimal.) 
A) $\frac { 3 } { 11 }$
B) $\frac { 6 } { 11 }$
C) $\frac { 3 } { 10 }$
D) $\frac { 1 } { 37 }$

Quizplus · Accepted Answer

The repeating decimal 0.272727... can be expressed as a fraction by setting x = 0.272727..., then 100x = 27.272727..., subtracting these gives 99x = 27, so x = 27/99, which simplifies to 3/11.

Choose the One Alternative That Best Completes the Statement or Answers