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 then simplify the resulting fraction. Here are the steps: 1. Write the percentage as a fraction over 100: 436.36\% = (436.36)/(100) 2. Eliminate the decimal in the numerator: To do this, multiply both the numerator and the denominator by 100 (since there are two decimal places). (436.36 × 100)/(100 × 100) = (43636)/(10000) 3. Simplify the fraction: Find the greatest common divisor (GCD) of the numerator and the denominator. Both 43636 and 10000 are divisible by 4. (43636 ÷ 4)/(10000 ÷ 4) = (10909)/(2500) The fraction 10909/2500 cannot be simplified further, as 10909 and 2500 share no common prime factors. The fraction form of 436.36% is (10909)/(2500).