Concept:To add fractions with different denominators, find the least common denominator and convert each fraction. Explanation:Step 1: Denominators are 7 and 2. The LCM is 14. Step 2: Convert 72​ to 144​ (multiply numerator and denominator by 2). Step 3: Convert 27​ to 1449​ (multiply by 7). Step 4: Add: 144​+1449​=1453​. Step 5: Write as mixed number: 53÷14=3 remainder 11, so 31411​. Answer:31411​ (Option C).