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 the mixed numbers to improper fractions. 24 (1)/(2) = (24 × 2 + 1)/(2) = (49)/(2) 5 (1)/(4) = (5 × 4 + 1)/(4) = (21)/(4) Step 2: Rewrite the division as multiplication by the reciprocal. 24 (1)/(2) ÷ 5 (1)/(4) = (49)/(2) ÷ (21)/(4) = (49)/(2) × (4)/(21) Step 3: Multiply the fractions. (49)/(2) × (4)/(21) = (49 × 4)/(2 × 21) = (196)/(42) Step 4: Simplify the fraction (196)/(42). Divide numerator and denominator by 14: (196 ÷ 14)/(42 ÷ 14) = (14)/(3) Step 5: Convert (14)/(3) to a mixed number. (14)/(3) = 4 (2)/(3) 4 (2)/(3)