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 the mixed numbers to improper fractions. 5(1)/(3) = ((5 × 3) + 1)/(3) = (16)/(3) 2(1)/(4) = ((2 × 4) + 1)/(4) = (9)/(4) 1(7)/(8) = ((1 × 8) + 7)/(8) = (15)/(8) The expression becomes: (16)/(3) - (9)/(4) - (15)/(8) Step 2: Find the least common multiple (LCM) of the denominators 3, 4, and 8. The LCM of 3, 4, and 8 is 24. Step 3: Convert each fraction to an equivalent fraction with a denominator of 24. (16)/(3) = (16 × 8)/(3 × 8) = (128)/(24) (9)/(4) = (9 × 6)/(4 × 6) = (54)/(24) (15)/(8) = (15 × 3)/(8 × 3) = (45)/(24) Step 4: Perform the subtraction with the common denominator. (128)/(24) - (54)/(24) - (45)/(24) = (128 - 54 - 45)/(24) Step 5: Calculate the numerator. 128 - 54 - 45 = 74 - 45 = 29 Step 6: Write the result as an improper fraction and then convert it to a mixed number. (29)/(24) = 1(5)/(24) The evaluated expression is: 1(5)/(24) Drop the next question 📸