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: Evaluate the "of" operation in the numerator. First, convert the mixed fraction to an improper fraction: 2 (2)/(5) = (2 × 5 + 2)/(5) = (12)/(5) Now, calculate (5)/(6) of (12)/(5): (5)/(6) × (12)/(5) = (5 × 12)/(6 × 5) = (60)/(30) = 2 Step 2: Evaluate the addition in the numerator. Convert the mixed fraction to an improper fraction: 1 (3)/(4) = (1 × 4 + 3)/(4) = (7)/(4) Add this to the result from Step 1: (7)/(4) + 2 = (7)/(4) + (8)/(4) = (7+8)/(4) = (15)/(4) So, the numerator is (15)/(4). Step 3: Evaluate the division in the denominator. Convert the mixed fraction to an improper fraction: 2 (4)/(5) = (2 × 5 + 4)/(5) = (14)/(5) Perform the division: (14)/(5) ÷ (1)/(10) = (14)/(5) × (10)/(1) = (14 × 10)/(5 × 1) = (140)/(5) = 28 So, the denominator is 28. Step 4: Perform the final division. Divide the numerator (from Step 2) by the denominator (from Step 3): (15)/(4)28 = (15)/(4) ÷ 28 = (15)/(4) × (1)/(28) = (15 × 1)/(4 × 28) = (15)/(112) The fraction (15)/(112) is in its simplest form as 15 and 112 share no common factors other than 1. The value is (15)/(112). 3 done, 2 left today. You're making progress.