9 1/4 + 6 1/2

To add 9 1/4 + 6 1/2, first we need to find a common denominator for the two fractions. In this case, the common denominator would be 4, since both fractions can be represented as tenths.

9 1/4 becomes 9 2/8 when represented as an improper fraction with a denominator of 4, which simplifies to 9 1/4.

6 1/2 can be represented in fifths, so it becomes 6 2/5 when represented as an improper fraction with a denominator of 2, which simplifies to 6 1/2.

Now we can add them together:

9 1/4 + 6 1/2

= 9 2/8 + 6 2/5

= 9(2*5)/(8*5) + 6(2*8)/(2*8)

= 45/40 + 96/40

= 141/40

Therefore, 9 1/4 + 6 1/2 = 141/40 or 3 21/40 as a mixed number.