Express the repeating decimal 0.272727… (with ’27’ repeating) as a fraction in lowest terms.
Note
Let x = 0.272727...; then 100x = 27.2727..., subtract x to get 99x = 27, so x = 27/99 which simplifies to 3/11, the fraction in lowest terms.
Express the repeating decimal 0.272727… (with ’27’ repeating) as a fraction in lowest terms.
Let x = 0.272727...; then 100x = 27.2727..., subtract x to get 99x = 27, so x = 27/99 which simplifies to 3/11, the fraction in lowest terms.