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
This is a ratio problem. To find the equivalent ratio, we need to simplify the given ratio by dividing both numbers by their greatest common divisor (GCD). Step 1: Find the GCD of 1800 and 375. We can use prime factorization or the Euclidean algorithm. Prime factorization of 1800: 1800 = 18 × 100 = (2 × 3²) × (10²) = (2 × 3²) × (2 × 5)² = 2 × 3² × 2² × 5² = 2³ × 3² × 5² Prime factorization of 375: 375 = 5 × 75 = 5 × (3 × 25) = 5 × 3 × 5² = 3 × 5³ The common prime factors are 3 and 5. The lowest power of 3 is 3¹ and the lowest power of 5 is 5². GCD(1800, 375) = 3¹ × 5² = 3 × 25 = 75. Step 2: Divide both numbers in the ratio by the GCD. 1800 ÷ 75 = 24 375 ÷ 75 = 5 The equivalent ratio is 24:5. Mándame la siguiente 📸