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
Step 1: Let x be the given repeating decimal. x = 0.9 This means x = 0.9999... Step 2: Multiply both sides of the equation by 10, since one digit is repeating. 10x = 9.9999... Step 3: Subtract the original equation (x = 0.9999...) from the new equation (10x = 9.9999...). 10x - x = 9.9999... - 0.9999... 9x = 9 Step 4: Solve for x. x = (9)/(9) x = 1 The decimal 0.9 can be written as (1)/(1) in the form (P)/(Q). The final answer is (1)/(1). Send me the next one 📸