Thực hiện phép tính a, [ 6+(1/2)^3-|-1/2|]:3/12 b, 18/37+8/24+19/37-1 23/24+2/3 c, (-2)^3.(3/4-0,25):(2 1/4-1 1/6) d, (2/5)^2+5 1/2.(4,5-2)+2/(-

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1. Đáp án:

    $a) \dfrac{45}{2}\\
   b)\dfrac{1}{24}\\
   c) \dfrac{-48}{13}\\
   d) \dfrac{1191}{100}$

   Giải thích các bước giải:

    $a) \left [ 6+\left ( \dfrac{1}{3} \right )^3-\left |-\dfrac{1}{2}  \right | \right ]:\dfrac{3}{12}\\
   =\left [ 6+\dfrac{1}{8}-\dfrac{1}{2} \right ].\dfrac{12}{3}\\
   =\left [\dfrac{6.8}{8}+\dfrac{1}{8}-\dfrac{4}{8}  \right ].4\\
   =\dfrac{48+1-4}{8}.4\\
   =\dfrac{45}{2}\\$
   $b) \dfrac{18}{37}+\dfrac{8}{24}+\dfrac{19}{37}-1\dfrac{23}{24}+\dfrac{2}{3}\\
   =\left ( \dfrac{18}{37}+\dfrac{19}{37} \right )+\left ( \dfrac{8}{24}-\dfrac{47}{24} \right )+\dfrac{2}{3}\\
   =\dfrac{37}{37}-\dfrac{39}{24}+\dfrac{2}{3}\\
   =1-\dfrac{39}{24}+\dfrac{2}{3}\\
   =\dfrac{24}{24}-\dfrac{39}{24}+\dfrac{2.8}{24}\\
   =\dfrac{24-39+16}{24}=\dfrac{1}{24}\\$
   $c) (-2)^3\left ( \dfrac{3}{4}-0,25 \right ):\left ( 2\dfrac{1}{4}-1\dfrac{1}{6} \right )\\
   =(-8).\left ( \dfrac{3}{4}-\dfrac{1}{4} \right ):\left ( \dfrac{9.3}{12}-\dfrac{7.2}{12} \right )\\
   =(-8).\dfrac{2}{4}:\dfrac{13}{12}\\
   =(-8).\dfrac{1}{2}.\dfrac{12}{13}\\
   =\dfrac{-48}{13}\\
   d) \left ( \dfrac{2}{5} \right )^2+5\dfrac{1}{2}\left ( 4,5-2 \right )+\dfrac{2^3}{-4}\\
   =\dfrac{4}{25}+\dfrac{11}{2}.2,5-\dfrac{8}{4}\\
   =\dfrac{4}{25}+\dfrac{11}{2}.\dfrac{5}{2}-2\\
   =\dfrac{4}{25}+\dfrac{55}{4}-2\\
   =\dfrac{16}{100}+\dfrac{55.25}{100}-\dfrac{200}{100}\\
   =\dfrac{16+1375-200}{100}=\dfrac{1191}{100}$

   Trả lời