<span>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.</span>
