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 mixed numbers to improper fractions inside the parentheses. 3(1)/(5) = (3 × 5 + 1)/(5) = (16)/(5) 1(1)/(3) = (1 × 3 + 1)/(3) = (4)/(3) Step 2: Subtract the fractions inside the parentheses. Find a common denominator for 5 and 3, which is 15. (16)/(5) - (4)/(3) = (16 × 3)/(5 × 3) - (4 × 5)/(3 × 5) = (48)/(15) - (20)/(15) = (48 - 20)/(15) = (28)/(15) Step 3: Perform the "of" operation, which means multiplication. (28)/(15) of (1)/(4) = (28)/(15) × (1)/(4) Multiply the numerators and the denominators. (28 × 1)/(15 × 4) = (28)/(60) Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 4. (28 ÷ 4)/(60 ÷ 4) = (7)/(15) Step 4: Perform the division. (7)/(15) ÷ (1)/(2) To divide by a fraction, multiply by its reciprocal. (7)/(15) × (2)/(1) = (7 × 2)/(15 × 1) = (14)/(15) The final answer is (14)/(15). Last free one today — make it count tomorrow, or type /upgrade for unlimited.