What is the sum of 9 5/6 and 5 2/3?

• A. 15 1/2
• B. 15
• C. 14 4/7
• D. 16

Answer: (A)

When adding mixed numbers, add the whole parts and the fractional parts separately, but make the fractions have a common denominator first.

The whole parts are 9 and 5, which add to 14.

For the fractions, convert 2/3 to sixths to match 5/6: 2/3 = 4/6. Then 5/6 + 4/6 = 9/6, which is 1 and 1/2. That means you add 1 to the whole part and keep a 1/2 as the fractional part.

Now combine: 14 + 1 equals 15, with the remaining 1/2. So the total is 15 1/2.