Approximating a fraction would depend upon how the fraction is expressed, which would either be in the form of one number divided by another number, or by a decimal. For example, one third is either one divided by three (1/3), or it is .3333333333333333 (etc.). In the latter case, you can decide how many decimal points you want to give, such as, one third is aproximately .333; there would be no point in approximating the 1/3 format of one third. But suppose the fraction was .3337; that is slightly larger than a third, but it could still be approximated as a third. Or, 100/301 which is slightly less than a third, could be approximated as a third.
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There is no such example. If you cannot use an exact fraction then there will not be an exact decimal that you can use instead. And, if you are using an approximate decimal, you could use an approximate fraction instead.
22/7
It is: 22/7
3/14 = 0.2142857 (approximate)
The ratio is the fraction 5/14 or the approximate percentage 35.7%.