Question

write 82.5% as a fraction in simplest form.

Explanation:

Step1: Convert percentage to fraction

To convert a percentage to a fraction, we divide by 100. So, \( 82.5\%=\frac{82.5}{100} \)

Step2: Eliminate the decimal

Multiply numerator and denominator by 10 to get rid of the decimal: \( \frac{82.5\times10}{100\times10}=\frac{825}{1000} \)

Step3: Simplify the fraction

Find the greatest common divisor (GCD) of 825 and 1000. The GCD of 825 and 1000 is 25. Divide numerator and denominator by 25: \( \frac{825\div25}{1000\div25}=\frac{33}{40} \)

Answer:

\( \frac{33}{40} \)