To convert 33 1/3 percent to a fraction, we start by recognizing that the mixed number consists of two parts: the whole number 33 and the fractional part 1/3.
First, we convert the whole number part into a fraction. Since 33 percent is equivalent to 33/100, we can express 33 1/3 percent as:
33 1/3 percent = 33/100 + 1/3 percent
Next, we need to convert the fractional percent (1/3) to a fraction. To do this, we understand that ‘percent’ means ‘per hundred.’ Therefore:
1/3 percent = 1/3 * 1/100 = 1/300
Now, we add the two fractions together:
33/100 + 1/300
To add these, we need a common denominator. The least common denominator of 100 and 300 is 300. We can convert 33/100 into a fraction with a denominator of 300:
33/100 = (33 * 3)/(100 * 3) = 99/300
Now we can add them:
99/300 + 1/300 = 100/300
This fraction can be simplified by dividing both the numerator and the denominator by the greatest common divisor, which is 100:
100/300 = 1/3
Thus, 33 1/3 percent as a fraction is:
1/3