Question

Convert 5.764764764 … to a rational expression in the form of a over b, where b ≠ 0.

5 and 764 over 999
5764 over 9999
5 and 764 over 99
5 and 999 over 764

Answer 1

A

Explanation:

Answer 2

5 and 764 over 999 Converting a repeating decimal into a rational fraction is easy to do. So let's do it and see what we come up with to compare against the available options. 5.764764764 ... It's obviously 5 + some fraction 0.764764764 ... so X = 0.764764764 ... 1000 X = 764.764764764 ... - X 0.764764764 ... 999 X = 764 X = 764/999 So the answer is 5 and 764/999 Looking over the available options, only the response "5 and 764 over 999" matches.