tính hợp lí :

tính hợp lí : a) 13/42 + (-5/18) -11/21 – (-4/14) b) 12/35 – 17/14 + 11/10 – (-5/28)

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  1. Đáp án:

    $\begin{array}{l}
    a)\dfrac{{13}}{{42}} + \dfrac{{ – 5}}{{18}} – \dfrac{{11}}{{21}} – \dfrac{{ – 4}}{{14}}\\
     = \dfrac{{13}}{{42}} – \dfrac{{22}}{{42}} + \dfrac{{4.3}}{{42}} – \dfrac{5}{{18}}\\
     = \dfrac{{13 – 22 + 12}}{{42}} – \dfrac{5}{{18}}\\
     = \dfrac{3}{{42}} – \dfrac{5}{{18}}\\
     = \dfrac{1}{{14}} – \dfrac{5}{{18}}\\
     = \dfrac{{9 – 35}}{{126}}\\
     = \dfrac{{ – 26}}{{126}} = \dfrac{{ – 13}}{{63}}\\
    b)\dfrac{{12}}{{35}} – \dfrac{{17}}{{14}} + \dfrac{{11}}{{10}} – \left( {\dfrac{{ – 5}}{{28}}} \right)\\
     = \dfrac{{12}}{{35}} + \dfrac{{11}}{{10}} – \dfrac{{34}}{{28}} + \dfrac{5}{{28}}\\
     = \dfrac{{12}}{{35}} + \dfrac{{11}}{{10}} – \dfrac{{29}}{{28}}\\
     = \dfrac{{12}}{{35}} + \dfrac{1}{{10}} + 1 – \left( {1 + \dfrac{1}{{28}}} \right)\\
     = \dfrac{{12}}{{35}} + \dfrac{1}{{10}} – \dfrac{1}{{28}}\\
     = \dfrac{{12.4 – 5}}{{35.4}} + \dfrac{1}{{10}}\\
     = \dfrac{{43}}{{140}} + \dfrac{1}{{10}}\\
     = \dfrac{{43 + 14}}{{140}}\\
     = \dfrac{{57}}{{140}}
    \end{array}$

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