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
Welcome back thembekamvelase78 — missed you this week. Here are the solutions to your homework problems. 1) (4)/(5) ÷ (3)/(10) Step 1: To divide by a fraction, multiply by its reciprocal. (4)/(5) ÷ (3)/(10) = (4)/(5) × (10)/(3) Step 2: Multiply the numerators and the denominators. (4 × 10)/(5 × 3) = (40)/(15) Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 5. (40 ÷ 5)/(15 ÷ 5) = (8)/(3) The answer is (8)/(3). 2) (1)/(2) - (3)/(4) Step 1: Find a common denominator for the fractions. The least common multiple of 2 and 4 is 4. (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Step 2: Subtract the fractions with the common denominator. (2)/(4) - (3)/(4) = (2 - 3)/(4) Step 3: Perform the subtraction in the numerator. (2 - 3)/(4) = (-1)/(4) The answer is -(1)/(4). 3) 4(5)/(6) - (1)/(3) Step 1: Convert the mixed number to an improper fraction. 4(5)/(6) = ((4 × 6) + 5)/(6) = (24 + 5)/(6) = (29)/(6) Step 2: Find a common denominator for (29)/(6) and (1)/(3). The least common multiple of 6 and 3 is 6. (1)/(3) = (1 × 2)/(3 × 2) = (2)/(6) Step 3: Subtract the fractions with the common denominator. (29)/(6) - (2)/(6) = (29 - 2)/(6) Step 4: Perform the subtraction in the numerator. (29 - 2)/(6) = (27)/(6) Step 5: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3. (27 ÷ 3)/(6 ÷ 3) = (9)/(2) The answer is (9)/(2). Send me the next one 📸