Question

Write repeating decimal 0.027272727 ... as a fraction.

Reduce the fraction completely.

Answer 1

Explanation:

Let x = 0.272727… Thus, 100x = 27.272727…

Subtracting the two equations, we get: 100x - x = 27.272727… - 0.272727… 99x = 27 x = 27/99

Simplifying the fraction, we get x = 3/11.

So, 0.272727 recurring is equivalent to the fraction 3/11.