Step 1: Recall the rule for mixed → improper: new numerator = (whole number × denominator) + original numerator. Denominator stays the same.\n Step 2: Identify each part of 4 2/7: whole number = 4, numerator = 2, denominator = 7.\n Step 3: Compute the new numerator: 4 × 7 + 2 = 28 + 2 = 30.\n Step 4: Keep the denominator: 7.\n Step 5: Write the answer: 30/7.\nCheck (reverse): 30 ÷ 7 = 4 remainder 2 → 4 2/7 ✓. Answer: 30/7