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
Here are the solutions to the problems on the worksheet. Adding Fractions (Left Column) Problem 1: (1)/(2) + (1)/(2) Step 1: The denominators are the same, so add the numerators. (1+1)/(2) Step 2: Simplify the fraction. (2)/(2) = 1 The final answer is 1. Problem 2: (1)/(4) + (1)/(4) Step 1: The denominators are the same, so add the numerators. (1+1)/(4) Step 2: Simplify the fraction. (2)/(4) = (1)/(2) The final answer is (1)/(2). Problem 3: (1)/(3) + (1)/(3) Step 1: The denominators are the same, so add the numerators. (1+1)/(3) Step 2: Simplify the fraction. (2)/(3) The final answer is (2)/(3). Problem 4: (1)/(4) + (1)/(4) Step 1: The denominators are the same, so add the numerators. (1+1)/(4) Step 2: Simplify the fraction. (2)/(4) = (1)/(2) The final answer is (1)/(2). Problem 5: (1)/(4) + (1)/(4) Step 1: The denominators are the same, so add the numerators. (1+1)/(4) Step 2: Simplify the fraction. (2)/(4) = (1)/(2) The final answer is (1)/(2). Subtracting Fractions (Middle Column) Problem 1: (1)/(2) - (1)/(2) Step 1: The denominators are the same, so subtract the numerators. (1-1)/(2) Step 2: Simplify the fraction. (0)/(2) = 0 The final answer is 0. Problem 2: (1)/(4) - (1)/(4) Step 1: The denominators are the same, so subtract the numerators. (1-1)/(4) Step 2: Simplify the fraction. (0)/(4) = 0 The final answer is 0. Problem 3: (1)/(3) - (1)/(3) Step 1: The denominators are the same, so subtract the numerators. (1-1)/(3) Step 2: Simplify the fraction. (0)/(3) = 0 The final answer is 0. Problem 4: (1)/(4) - (1)/(4) Step 1: The denominators are the same, so subtract the numerators. (1-1)/(4) Step 2: Simplify the fraction. (0)/(4) = 0 The final answer is 0. Problem 5: (1)/(4) - (1)/(4) Step 1: The denominators are the same, so subtract the numerators. (1-1)/(4) Step 2: Simplify the fraction. (0)/(4) = 0 The final answer is 0. Subtracting Fractions (Right Column) Problem 1: (1)/(2) - (1)/(4) Step 1: Find a common denominator, which is 4. Convert (1)/(2) to an equivalent fraction with a denominator of 4. (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Step 2: Subtract the fractions. (2)/(4) - (1)/(4) = (2-1)/(4) Step 3: Simplify the result. (1)/(4) The final answer is (1)/(4). Problem 2: (1)/(3) - (1)/(6) Step 1: Find a common denominator, which is 6. Convert (1)/(3) to an equivalent fraction with a denominator of 6. (1)/(3) = (1 × 2)/(3 × 2) = (2)/(6) Step 2: Subtract the fractions. (2)/(6) - (1)/(6) = (2-1)/(6) Step 3: Simplify the result. (1)/(6) The final answer is (1)/(6). Problem 3: (1)/(2) - (1)/(8) Step 1: Find a common denominator, which is 8. Convert (1)/(2) to an equivalent fraction with a denominator of 8. (1)/(2) = (1 × 4)/(2 × 4) = (4)/(8) Step 2: Subtract the fractions. (4)/(8) - (1)/(8) = (4-1)/(8) Step 3: Simplify the result. (3)/(8) The final answer is (3)/(8). Problem 4: (1)/(2) - (1)/(4) Step 1: Find a common denominator, which is 4. Convert (1)/(2) to an equivalent fraction with a denominator of 4. (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Step 2: Subtract the fractions. (2)/(4) - (1)/(4) = (2-1)/(4) Step 3: Simplify the result. (1)/(4) The final answer is (1)/(4). Problem 5: (1)/(2) - (1)/(8) Step 1: Find a common denominator, which is 8. Convert (1)/(2) to an equivalent fraction with a denominator of 8. (1)/(2) = (1 × 4)/(2 × 4) = (4)/(8) Step 2: Subtract the fractions. (4)/(8) - (1)/(8) = (4-1)/(8) Step 3: Simplify the result. (3)/(8) The final answer is (3)/(8). 3 done, 2 left today. You're making progress.