15,25-4 1/6-(5,15-2 2/3)

To solve the expression 15,25-4 1/6-(5,15-2 2/3), we can break it down step by step.

First, let's simplify the expression within the parentheses (5,15-2 2/3):

To subtract mixed numbers, we need to convert them into improper fractions.

5,15 = 5 + 15/100 = 5 + 15/100 = 5 + 3/20 = 5 3/20

2 2/3 = 2 + 2/3 = 2 + 2/3 = 2 2/3

Now, subtract 2 2/3 from 5 3/20:

5 3/20 - 2 2/3 = (5*20 + 3)/20 - (2*3 + 2)/3
= (100 + 3)/20 - (6 + 2)/3
= 103/20 - 8/3

To subtract fractions, we need to have a common denominator. The least common multiple of 20 and 3 is 60.

103/20 = (103*3)/(20*3) = 309/60
8/3 = (8*20)/(3*20) = 160/60

Now, subtract the fractions:

309/60 - 160/60 = (309 - 160)/60 = 149/60

Now, let's substitute this value back into the original expression:

15,25 - 4 1/6 - 149/60

To subtract mixed numbers, we need to convert them into improper fractions.

4 1/6 = 4 + 1/6 = 4 + 1/6 = 4 1/6

Now, subtract 149/60 from 4 1/6:

4 1/6 - 149/60 = (4*6 + 1)/6 - 149/60
= (24 + 1)/6 - 149/60
= 25/6 - 149/60

To subtract fractions, we need to have a common denominator. The least common multiple of 6 and 60 is 60.

25/6 = (25*10)/(6*10) = 250/60
149/60 = 149/60

Now, subtract the fractions:

250/60 - 149/60 = (250 - 149)/60 = 101/60

Therefore, the simplified expression is 101/60.