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
You're on a roll — Step 1: Convert all mixed numbers to improper fractions. 5(1)/(3) = (5 × 3 + 1)/(3) = (16)/(3) 6(2)/(5) = (6 × 5 + 2)/(5) = (32)/(5) 1(1)/(3) = (1 × 3 + 1)/(3) = (4)/(3) 1(1)/(5) = (1 × 5 + 1)/(5) = (6)/(5) The expression becomes: (3)/(4) of (16)/(3) + (32)/(5) ÷ (4)/(3) - (6)/(5) Step 2: Perform the "of" operation (multiplication). (3)/(4) × (16)/(3) = (3 × 16)/(4 × 3) = (48)/(12) = 4 The expression is now: 4 + (32)/(5) ÷ (4)/(3) - (6)/(5) Step 3: Perform the division operation. (32)/(5) ÷ (4)/(3) = (32)/(5) × (3)/(4) = (32 × 3)/(5 × 4) = (96)/(20) Simplify the fraction: (96)/(20) = (24)/(5) The expression is now: 4 + (24)/(5) - (6)/(5) Step 4: Perform addition and subtraction from left to right. First, add 4 + (24)/(5). Convert 4 to a fraction with a denominator of 5: 4 = (4 × 5)/(5) = (20)/(5) (20)/(5) + (24)/(5) = (20+24)/(5) = (44)/(5) Now, subtract (6)/(5): (44)/(5) - (6)/(5) = (44-6)/(5) = (38)/(5) The answer can also be expressed as a mixed number: (38)/(5) = 7(3)/(5) The value of the expression is (38)/(5) or 7(3)/(5). Got more? Send 'em!