24 4/5 - 19,5: 7 2/9

To solve this expression, we should first convert the mixed numbers into improper fractions. 24 4/5 is equal to (24 * 5 + 4) / 5 = 124 / 5. 7 2/9 is equal to (7 * 9 + 2) / 9 = 65 / 9.

Now let's substitute these values into the expression: (124 / 5) - 19.5 ÷ (65 / 9)

Next, let's simplify the division: (124 / 5) - (19.5 * 9 / 65)

Now let's multiply and divide: (124 / 5) - (175.5 / 65)

To simplify further, we need to find a common denominator. In this case, the lowest common multiple of 5 and 65 is 325.

(124 * 65 / 5 * 65) - (175.5 * 5 / 65 * 5)

Now let's multiply and divide: (8060 / 325) - (877.5 / 325)

To subtract these fractions, we need to have the same denominator: (8060 - 877.5) / 325

Now let's subtract: 7182.5 / 325

Finally, we can simplify this fraction by dividing the numerator and the denominator by 2.5: 2873 / 130

So, the result is 2873/130.