Question

Convert 0.2878787... into a ratio of two integers. Enter your answer as a fraction in lowest terms.

Answer 1

To convert 0.2878787... into a ratio of two integers, we can write it as 28/99 in lowest terms.

Step-by-step explanation:

To convert the repeating decimal 0.2878787... into a ratio of two integers, we can use the concept of infinite geometric series.

Let x = 0.2878787..., then multiplying both sides by 100 gives us 100x = 28.7878787... Subtracting x from 100x gives us 99x = 28, which simplifies to x = 28/99.

Therefore, the ratio of 0.2878787... as a fraction in lowest terms is 28/99.