Tính a) \(A = \left( {\dfrac{3}{{10}} + \dfrac{4}{5} \times \dfrac{1}{2}} \right):\left( {2\dfrac{8}{9} -
Tính
a) \(A = \left( {\dfrac{3}{{10}} + \dfrac{4}{5} \times \dfrac{1}{2}} \right):\left( {2\dfrac{8}{9} - 1\dfrac{1}{3}} \right) + 2013\)
b) \(A = 17 \times \left( {\dfrac{{1313}}{{5151}} + \dfrac{{1111}}{{3434}}} \right):\dfrac{{177}}{{12}}\)
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\(A = \left( {\dfrac{3}{{10}} + \dfrac{4}{5} \times \dfrac{1}{2}} \right):\left( {2\dfrac{8}{9} - 1\dfrac{1}{3}} \right) + 2013\)
\( = \left( {\dfrac{3}{{10}} + \dfrac{4}{{10}}} \right):\left( {\dfrac{{26}}{9} - \dfrac{4}{3}} \right) + 2013\)
\( = \dfrac{7}{{10}}:\dfrac{{14}}{9} + 2013\)
\( = \dfrac{9}{{20}} + 2013 = 2013\dfrac{9}{{20}}\)
b) \(A = 17 \times \left( {\dfrac{{1313}}{{5151}} + \dfrac{{1111}}{{3434}}} \right):\dfrac{{177}}{{12}}{\rm{ }}\)
\( = 17 \times \left( {\dfrac{{13}}{{51}} + \dfrac{{11}}{{34}}} \right) \times \dfrac{{12}}{{177}}{\rm{ }}\)
\( = \left( {17 \times \dfrac{{13}}{{51}} + 17 \times \dfrac{{11}}{{34}}} \right) \times \dfrac{{12}}{{177}}\)
\( = \left( {\dfrac{{13}}{3} + \dfrac{{11}}{2}} \right) \times \dfrac{{12}}{{177}}\)
\( = \dfrac{{59}}{6} \times \dfrac{{12}}{{177}}\)
\( = \dfrac{{59 \times 6 \times 2}}{{6 \times 59 \times 3}} = \dfrac{2}{3}\)
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