Đáp án:
\[\frac{{ - 251}}{{294}}\]
Giải thích các bước giải:
\[\begin{array}{l}
\left( { - \frac{1}{4} + \frac{7}{{33}} - \frac{5}{3}} \right) - \left( { - \frac{5}{{12}} + \frac{6}{{11}} - \frac{{48}}{{49}}} \right)\\
= - \frac{1}{4} + \frac{7}{{33}} - \frac{5}{3} + \frac{5}{{12}} - \frac{6}{{11}} + \frac{{48}}{{49}}\\
= \left( {\frac{5}{{12}} - \frac{1}{4}} \right) + \left( {\frac{7}{{33}} - \frac{5}{3} - \frac{6}{{11}}} \right) + \frac{{48}}{{49}}\\
= \frac{{5 - 3}}{{12}} + \frac{{7 - 5.11 - 6.3}}{{33}} + \frac{{48}}{{49}}\\
= \frac{2}{{12}} + \frac{{ - 66}}{{33}} + \frac{{48}}{{49}}\\
= \frac{1}{6} - 2 + \frac{{48}}{{49}}\\
= \frac{{1 - 12}}{6} + \frac{{48}}{{49}}\\
= \frac{{ - 11}}{6} + \frac{{48}}{{49}}\\
= \frac{{ - 11.49 + 48.6}}{{6.49}}\\
= \frac{{ - 251}}{{294}}.
\end{array}\]