How can I express 33 1/3 percent as a fraction?

To convert 33 1/3 percent into a fraction, we can follow these steps:

1. Understand what percent means: Percent means ‘per hundred.’ Thus, 33 1/3 percent can be expressed mathematically as:

33 1/3 = 33.3333...

2. Convert the mixed number: The mixed number 33 1/3 can be converted into an improper fraction. We multiply the whole number (33) by the denominator (3) and add the numerator (1). This gives us:

33 * 3 + 1 = 99 + 1 = 100

3. So, we can express 33 1/3 as:

33 1/3 = 100/3

4. Convert to a percent: Now we need to represent this fraction as a percent. To do this, we divide by 100:

(100/3) / 100 = 100/300 = 1/3

5. Final Result: Therefore, 33 1/3 percent as a fraction is:

1/3

In conclusion, 33 1/3 percent can be simplified and expressed as the fraction 1/3.