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To simplify a fraction, you need to divide the top and bottom of it by the same number. If you can't do this without making both numbers of the fraction whole numbers, it is as simple as it can get.
With the fraction 4/36, you can divide both the top and bottom number by 2 or 4. Since we want to simplify our fraction as much as possible, we'll divide by the bigger number, 4. Four divided by four is one, and 36 divided by four is nine. So:
4/36 = 1/9
4 over 36 simplified is one-ninth