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. 3(3)/(10) = (3 × 10 + 3)/(10) = (33)/(10) 1(2)/(3) = (1 × 3 + 2)/(3) = (5)/(3) 1(1)/(2) = (1 × 2 + 1)/(2) = (3)/(2) The expression becomes: (33)/(10) - (5)/(3)(3)/(2) + (1)/(10) Step 2: Simplify the numerator. To subtract (5)/(3) from (33)/(10), find a common denominator, which is 30. (33)/(10) - (5)/(3) = (33 × 3)/(10 × 3) - (5 × 10)/(3 × 10) = (99)/(30) - (50)/(30) = (99 - 50)/(30) = (49)/(30) Step 3: Simplify the denominator. To add (3)/(2) and (1)/(10), find a common denominator, which is 10. (3)/(2) + (1)/(10) = (3 × 5)/(2 × 5) + (1)/(10) = (15)/(10) + (1)/(10) = (15 + 1)/(10) = (16)/(10) This fraction can be simplified by dividing both numerator and denominator by 2: (16)/(10) = (8)/(5) Step 4: Divide the simplified numerator by the simplified denominator. (49)/(30)(8)/(5) To divide by a fraction, multiply by its reciprocal: (49)/(30) × (5)/(8) Multiply the numerators and the denominators: (49 × 5)/(30 × 8) Simplify by canceling out common factors. Here, 5 divides into 30 six times: (49 × 1)/(6 × 8) = (49)/(48) The simplified expression is (49)/(48). Send me the next one 📸