To solve \((\frac{7}{25} - \frac{2}{5})\), follow these steps:

1. Convert \(\frac{2}{5}\) to have a common denominator with \(\frac{7}{25}\):
\[
\frac{2}{5} = \frac{2 \times 5}{5 \times 5} = \frac{10}{25}
\]

2. Now, subtract:
\[
\frac{7}{25} - \frac{10}{25} = \frac{7 - 10}{25} = \frac{-3}{25}
\]

Now we need to express this result in relation to \(\frac{26}{45}\):
To compare \(\frac{-3}{25}\) and \(\frac{26}{45}\), we can find a common denominator. The least common multiple (LCM) of \(25\) and \(45\) is \(225\).

Convert each fraction:
- For \(\frac{-3}{25}\):
\[
\frac{-3}{25} = \frac{-3 \times 9}{25 \times 9} = \frac{-27}{225}
\]

- For \(\frac{26}{45}\):
\[
\frac{26}{45} = \frac{26 \times 5}{45 \times 5} = \frac{130}{225}
\]

Now, we can compare:
\[
\frac{-27}{225} \text{ and } \frac{130}{225}
\]

Since \(-27\) is less than \(130\), we have:
\[
\frac{7}{25} - \frac{2}{5} < \frac{26}{45}
\]

So, the final result is:
\[
\frac{7}{25} - \frac{2}{5} < \frac{26}{45}
\]