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
1) Step 1: Add the given fractions. (2)/(5) + (1)/(5) = (2+1)/(5) = (3)/(5) Step 2: Set up the equation with the unknown value. (3)/(5) + x = 1 Step 3: Solve for x by subtracting (3)/(5) from 1. x = 1 - (3)/(5) Step 4: Convert 1 to a fraction with a denominator of 5. x = (5)/(5) - (3)/(5) Step 5: Perform the subtraction. x = (5-3)/(5) = (2)/(5) The correct option is b). The final answer is (2)/(5). 2) Step 1: Simplify the first fraction. (9)/(9) = 1 Step 2: Rewrite the expression. 1 - (1)/(3) Step 3: Convert 1 to a fraction with a denominator of 3. 1 = (3)/(3) Step 4: Perform the subtraction. (3)/(3) - (1)/(3) = (3-1)/(3) = (2)/(3) The correct option is d). The final answer is (2)/(3).