(-1/4+7/33-5/3)-(-5/12+6/11-48/49)

Đáp án:

\[\frac{{ - 251}}{{294}}\]

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

Đáp án:

-251/294

Giải thích các bước giải: \[\begin{array}{l}\left( {\frac{{ - 1}}{4} + \frac{7}{{33}} - \frac{5}{3}} \right) - \left( {\frac{5}{{12}} + \frac{6}{{11}} - \frac{{48}}{{49}}} \right)\\ = - \frac{1}{4} + \frac{7}{{33}} - \frac{5}{3} + \frac{5}{{12}} - \frac{6}{{11}} + \frac{{48}}{{49}}\\ = \left( {\frac{{ - 1}}{4} + \frac{5}{{12}} - \frac{5}{3}} \right) + \left( {\frac{7}{{33}} - \frac{6}{{11}}} \right) + \frac{{48}}{{49}}\\ = \left( {\frac{{ - 3}}{{12}} + \frac{5}{{12}} - \frac{{20}}{{12}}} \right) + \left( {\frac{7}{{33}} - \frac{{18}}{{33}}} \right) + \frac{{48}}{{49}}\\ = \frac{{ - 18}}{{12}} - \frac{{11}}{{33}} + \frac{{48}}{{49}}\\ = \frac{{ - 3}}{2} - \frac{1}{3} + \frac{{48}}{{49}}\\ = \frac{{ - 251}}{{294}}\end{array}\]