This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To convert a percentage to a fraction, divide the percentage by 100 and simplify the resulting fraction. 1. Write as a fraction over 100: 537.5\% = (537.5)/(100) 2. Eliminate the decimal in the numerator: Multiply both the numerator and the denominator by 10 to remove the decimal: (537.5 × 10)/(100 × 10) = (5375)/(1000) 3. Simplify the fraction: Find the greatest common divisor (GCD) of 5375 and 1000. Both numbers are divisible by 25: (5375 ÷ 25)/(1000 ÷ 25) = (215)/(40) Both numbers are divisible by 5: (215 ÷ 5)/(40 ÷ 5) = (43)/(8) The fraction is (43)/(8).