Solve the problem.
-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

Solve the problem.
-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 letting x = 0.272727..., then 100x = 27.272727..., subtracting these gives 99x = 27, so x = 27/99, which simplifies to 3/11.

Solve the Problem 311\frac { 3 } { 11 }113​ B) 611\frac { 6 } { 11 }116​

Solve the Problem $\frac { 3 } { 11 }$ B) $\frac { 6 } { 11 }$