How can you express 10% as a fraction in simplest form?

To express 10% as a fraction in its simplest form, it's helpful to start by understanding what percent means. The term 'percent' means 'per hundred.' Thus, 10% can be written as 10 out of 100, or ( \frac{10}{100} ).

Next, to simplify this fraction, we look for the greatest common divisor (GCD) of the numerator (10) and the denominator (100). The GCD of 10 and 100 is 10. By dividing both the numerator and the denominator by their GCD, we simplify ( \frac{10}{100} ) as follows:

[ \frac{10 \div 10}{100 \div 10} = \frac{1}{10} ]

Thus, the simplest form of 10% as a fraction is ( \frac{1}{10} ). This ensures that the answer, which represents the same quantity as 10%, is clearly conveyed in its simplest fractional representation.