Add 5 1/8 and 3 5/6.

• A. 8 7/24
• B. 9 23/24
• C. 8 23/24
• D. 7 23/24

Answer: (C)

When adding mixed numbers, add the whole-number parts and the fractional parts, making sure the fractions share a common denominator. Convert each mixed number to an improper fraction: 5 1/8 becomes 41/8 and 3 5/6 becomes 23/6. Add them with a common denominator, 24: 41/8 is 123/24 and 23/6 is 92/24, so their sum is 215/24. This converts back to a whole part and a fraction: 215 ÷ 24 is 8 with a remainder of 23, giving 8 23/24. The fraction 23/24 is already in simplest terms, so the result is 8 23/24. The fractional part is 23/24, not any other value, which is why the final answer is 8 23/24.