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 remove the two decimal places, multiply both the numerator and the denominator by 100: (436.36 100) / (100 100) = 43636 / 10000 3. Simplify the fraction: Find the greatest common divisor (GCD) of 43636 and 10000. Both numbers are divisible by 4. 43636 ÷ 4 = 10909 10000 ÷ 4 = 2500 So, the fraction becomes 10909 / 2500. Since 10909 is not divisible by 2 or 5 (the prime factors of 2500), this fraction is in its simplest form. The percentage 436.36% converted to a fraction is 10909/2500.