Thực hiện phép tính (tính hợp lí nếu có thể): m) ( 5/17 − 8/33 ) − ( 25/33 − 12/17 ) − 2021^0 .
Giải thích
m) \(\left( {\frac{5}{{17}} - \frac{8}{{33}}} \right) - \left( {\frac{{25}}{{33}} - \frac{{12}}{{17}}} \right) - {2021^0}\)
\( = \frac{5}{{17}} - \frac{8}{{33}} - \frac{{25}}{{33}} + \frac{{12}}{{17}} - 1\)
\[ = \left( {\frac{5}{{17}} + \frac{{12}}{{17}}} \right) - \left( {\frac{8}{{33}} + \frac{{25}}{{33}}} \right) - 1\]
\[ = \frac{{17}}{{17}} - \frac{{33}}{{33}} - 1\]
\[ = 1 - 1 - 1 = - 1.\]