How do you write 22 1/3 as a fraction

If you want to into an improper fraction (because it's a mixed number), then multiply the denominator of the fraction by the integer in front of it, add whatever is in the numerator, and put it over the original denominator.

In this case, multiply 22*3, add 1 to that, then put it over 3.
The improper fraction is 67/3.