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: Convert all mixed numbers to improper fractions. 2(1)/(4) = ((2 × 4) + 1)/(4) = (9)/(4) 1(5)/(8) = ((1 × 8) + 5)/(8) = (13)/(8) 2(1)/(6) = ((2 × 6) + 1)/(6) = (13)/(6) Step 2: Perform the subtraction inside the parentheses. To subtract (9)/(4) - (13)/(8), find a common denominator, which is 8. (9)/(4) - (13)/(8) = (9 × 2)/(4 × 2) - (13)/(8) = (18)/(8) - (13)/(8) = (18 - 13)/(8) = (5)/(8) Step 3: Perform the division. Now, divide the result from Step 2 by the third fraction. (5)/(8) ÷ (13)/(6) To divide by a fraction, multiply by its reciprocal. (5)/(8) × (6)/(13) Step 4: Multiply the fractions and simplify. (5 × 6)/(8 × 13) = (30)/(104) Both the numerator and the denominator are divisible by 2. (30 ÷ 2)/(104 ÷ 2) = (15)/(52) The simplified expression is (15)/(52). Send me the next one 📸