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QUESTION IMAGE

write 82.5% as a fraction in simplest form.

Question

write 82.5% as a fraction in simplest form.

Explanation:

Step1: Convert % to fraction

$82.5\% = \frac{82.5}{100}$

Step2: Eliminate decimal in numerator

Multiply numerator and denominator by 10: $\frac{82.5 \times 10}{100 \times 10} = \frac{825}{1000}$

Step3: Simplify the fraction

Divide numerator and denominator by GCD 25: $\frac{825 \div 25}{1000 \div 25} = \frac{33}{40}$

Answer:

$\frac{33}{40}$