Convert among fractions, decimals, and percents and choose the most useful form for a task.
Convert a percent to decimal and fraction
Problem
Write \(62.5\%\) as a decimal and a fraction in simplest form.
Big Picture
What this problem is really about
Percent means per hundred, so converting sixty-two point five percent to a decimal requires dividing by one hundred. We’ll express the resulting decimal as a place-value fraction, reduce it by the greatest common factor, and verify by dividing the simplified numerator by its denominator. That check catches both decimal-shift and unsimplified-fraction errors.
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