Đáp án:
\(1)\dfrac{{11}}{{60}}\)
Giải thích các bước giải:
\(\begin{array}{l}
1)\dfrac{1}{4} - \dfrac{7}{{10}} + \dfrac{4}{5} - \left| { - \dfrac{1}{6}} \right|\\
= \dfrac{1}{4} - \dfrac{7}{{10}} + \dfrac{4}{5} - \dfrac{1}{6}\\
= \dfrac{{15 - 7.6 + 4.12 - 10}}{{60}} = \dfrac{{11}}{{60}}\\
2)\dfrac{1}{5} - \dfrac{5}{4} + 4 - \dfrac{1}{2} - \left| { - \dfrac{{29}}{{20}}} \right|\\
= \dfrac{{49}}{{20}} - \dfrac{{29}}{{20}} = 1\\
3)\left| { - \dfrac{3}{4} + \dfrac{1}{2} - \dfrac{4}{3}} \right| - \dfrac{5}{3} + \dfrac{7}{2}\\
= \left| { - \dfrac{{19}}{{12}}} \right| + \dfrac{{11}}{6} = \dfrac{{19}}{{12}} + \dfrac{{11}}{6} = \dfrac{{41}}{{12}}\\
4) - \dfrac{4}{5} - \left| { - \dfrac{{19}}{{12}}} \right| + \dfrac{7}{3} - \dfrac{3}{2}\\
= - \dfrac{4}{5} - \dfrac{{19}}{{12}} + \dfrac{7}{3} - \dfrac{3}{2} = - \dfrac{{31}}{{20}}\\
5)\dfrac{1}{7} - \dfrac{5}{3} + \dfrac{4}{{21}} - \left| { - \dfrac{5}{{12}}} \right|\\
= \dfrac{1}{7} - \dfrac{5}{3} + \dfrac{4}{{21}} - \dfrac{5}{{12}} = - \dfrac{7}{4}\\
6) - \left| { - \dfrac{7}{5} + \dfrac{3}{{10}} - \dfrac{5}{2}} \right| - \dfrac{1}{{10}}\\
= - \left| { - \dfrac{{18}}{5}} \right| - \dfrac{1}{{10}} = - \dfrac{{18}}{5} - \dfrac{1}{{10}}\\
= - \dfrac{{37}}{{10}}\\
7)\dfrac{7}{8} - \dfrac{5}{{12}} + \left| { - \dfrac{3}{2}} \right| = \dfrac{{11}}{{24}} + \dfrac{3}{2}\\
= \dfrac{{47}}{{24}}\\
9) - \dfrac{5}{3} - \dfrac{3}{{10}} - \left| { - \dfrac{{17}}{{12}}} \right|\\
= - \dfrac{{59}}{{30}} - \dfrac{{17}}{{12}} = - \dfrac{{203}}{{60}}\\
10)\dfrac{1}{2} - \dfrac{1}{{12}} - \dfrac{4}{3} = \dfrac{{6 - 1 - 4.4}}{{12}} = - \dfrac{{11}}{{12}}
\end{array}\)
