To convert 33 1/3 percent into a fraction, start by recognizing that 33 1/3 percent can be expressed as the mixed number 33 + 1/3.
First, convert 33 into a fraction. Since 33 is the same as 33/1, we can express 33 as:
33 = 33/1
Next, convert 1/3 into a fraction with a common denominator. To do this, express 33/1 as a fraction with a denominator of 3:
33/1 = 99/3 (because 33 * 3 = 99)
Now add 99/3 and 1/3 to combine them:
99/3 + 1/3 = 100/3
This means that 33 1/3 percent as a fraction is:
100/3%
Finally, since the percent sign represents ‘per hundred’, we need to divide by 100 to convert this percent value into a fraction:
100/3 % = (100/3) / 100 = 100/(3 * 100) = 100/300 = 1/3
So, 33 1/3 percent as a fraction is:
1/3