22,5:5 2/7- 2 3/5

To simplify the expression "22.5:5 - 2\frac{2}{7} - 2\frac{3}{5}", we will convert the mixed numbers into improper fractions:

22.5:5 = \frac{22.5}{5} = \frac{45}{2}, 2\frac{2}{7} = \frac{2 \times 7 + 2}{7} = \frac{16}{7}, 2\frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{13}{5}.

Now, we can rewrite the expression as:

\frac{45}{2} - \frac{16}{7} - \frac{13}{5}.

To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 2, 7, and 5 is 70. Let's convert the fractions using the common denominator of 70:

\frac{45}{2} = \frac{45 \times 35}{2 \times 35} = \frac{1575}{70}, \frac{16}{7} = \frac{16 \times 10}{7 \times 10} = \frac{160}{70}, \frac{13}{5} = \frac{13 \times 14}{5 \times 14} = \frac{182}{70}.

Now, the expression becomes:

\frac{1575}{70} - \frac{160}{70} - \frac{182}{70}.

Subtracting the fractions, we have:

\frac{1575 - 160 - 182}{70} = \frac{1233}{70}.

Therefore, the simplified expression is \frac{1233}{70}.