What is 10 1/4 divided into 4/5? Simplify the answer if possible

To divide 10 1/4 by 4/5, you need to convert the mixed number to an improper fraction.

10 1/4 is equal to (10 * 4 + 1) / 4 = 41/4

Now we can divide 41/4 by 4/5:

(41/4) ÷ (4/5) = (41/4) * (5/4) (since division is the same as multiplication by the reciprocal)

= (41 * 5) / (4 * 4) = 205/16

So, 10 1/4 divided by 4/5 is equal to 205/16.