Answer:
To divide two mixed numbers, we need to first convert them to improper fractions.
10 1/4 is the same as (10 x 4 + 1)/4 = 41/4
5 1/2 is the same as (5 x 2 + 1)/2 = 11/2
So, we need to divide 41/4 by 11/2:
(41/4) ÷ (11/2)
When dividing by a fraction, we can multiply by its reciprocal (flip the fraction):
(41/4) x (2/11)
Now, we can simplify by canceling out the common factors:
(41 x 2) / (4 x 11) = 82/44 = 41/22
Therefore, 10 1/4 divided by 5 1/2 is equal to 41/22 or approximately 1.86 when rounded to two decimal places.