As an example, I will convert 5 1/6 to a percent.
\(\displaystyle 5\frac{1}{6}= 5 + \frac{1}{6}= \frac{30}{6}+\frac{1}{6}=\frac{30+1}{6}=\frac{31}{6}\).
31/6 means 31 divided by 6, so do the long division getting 5.166666... on and on forever. Depending on which rule to follow to round this off, you might come up with different results. I will choose to round off to the nearest thousandth. That gives me 5.167.
To convert a decimal fraction to a percent, multiply by 100 and add the percent sign. This gives me 516.7%.
Some people would convert to a percent first, then do the rounding off. It's just a matter of choice as to how accurate to be.