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: Simplify the expression inside the parentheses. To add the fractions (1)/(30) and (1)/(15), find a common denominator. The least common multiple of 30 and 15 is 30. (1)/(30) + (1)/(15) = (1)/(30) + (1 × 2)/(15 × 2) = (1)/(30) + (2)/(30) Step 2: Add the fractions. (1)/(30) + (2)/(30) = (1+2)/(30) = (3)/(30) Step 3: Simplify the resulting fraction. (3)/(30) = (3 ÷ 3)/(30 ÷ 3) = (1)/(10) Step 4: Substitute the simplified fraction back into the original expression and subtract from 1. 1 - (1)/(10) To subtract, express 1 as a fraction with a denominator of 10: (10)/(10) - (1)/(10) = (10-1)/(10) = (9)/(10) The final answer is (9)/(10). Drop the next question 📸