Final answer:
To express 33 1/3% as a fraction in its lowest terms, convert it to the decimal 0.3333 and simplify the fraction to 1/3.
Step-by-step explanation:
To express 33 1/3% as a fraction in its lowest terms, we need to convert the percentage to a decimal and then simplify the resulting fraction.
33 1/3% is equivalent to 33 1/3 ÷ 100 = 33.33 ÷ 100 = 0.3333. Now, to convert the decimal to a fraction, we write it as the fraction 0.3333/1. Next, we need to simplify this fraction.
The simplest form of the fraction 0.3333/1 is 1/3. Therefore, 33 1/3% as a fraction in its lowest terms is 1/3.
Learn more about converting percentage to fraction