What is the fractional representation of 30% in simplest form?

To convert a percentage to a fraction, you can start by understanding that "percent" means "per hundred." Therefore, to express 30% as a fraction, you write it as ( \frac{30}{100} ).

Next, the fraction ( \frac{30}{100} ) can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 30 and 100 is 10. By dividing both the numerator and the denominator by their GCD, you get:

[ \frac{30 \div 10}{100 \div 10} = \frac{3}{10} ]

As a result, the simplest form of the fractional representation of 30% is ( \frac{3}{10} ). This shows how percentages can be converted into fractions and then simplified, confirming that ( \frac{3}{10} ) is indeed the correct and simplest form for 30%.