a) \(0,6+\dfrac{2}{3}=\dfrac{6}{10}+\dfrac{2}{3}=\dfrac{3}{5}+\dfrac{2}{3}=\dfrac{9}{15}+\dfrac{10}{15}=\dfrac{19}{15}\)

b) \(-\dfrac{5}{12}+0,75=-\dfrac{5}{12}+\dfrac{75}{100}=-\dfrac{5}{12}+\dfrac{3}{4}=-\dfrac{5}{12}+\dfrac{9}{12}=\dfrac{4}{12}=\dfrac{1}{3}\)

c) \(\dfrac{1}{3}-\left(-0,4\right)=\dfrac{1}{3}+\dfrac{4}{10}=\dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5}{15}+\dfrac{6}{15}=\dfrac{11}{15}\)

d) \(1\dfrac{3}{5}+\dfrac{5}{6}=\dfrac{8}{5}+\dfrac{5}{6}=\dfrac{48}{40}+\dfrac{25}{30}=\dfrac{73}{30}\)

a) \(\left(\dfrac{1}{6}+\dfrac{5}{9}\right)+\dfrac{4}{9}\)

\(=\dfrac{1}{6}+\dfrac{5}{9}+\dfrac{4}{9}\)

\(=\dfrac{1}{6}+1\)

\(=\dfrac{7}{6}\)

b) \(\dfrac{3}{17}+\left(\dfrac{14}{17}-\dfrac{2}{3}\right)\)

\(=\dfrac{3}{17}+\dfrac{14}{17}-\dfrac{2}{3}\)

\(=1-\dfrac{2}{3}\)

\(=\dfrac{1}{3}\)

c) \(\left(\dfrac{3}{2}-\dfrac{2}{3}\right)+\dfrac{7}{6}\)

\(=\left(\dfrac{9}{6}-\dfrac{4}{6}\right)+\dfrac{7}{6}\)

\(=\dfrac{13}{6}+\dfrac{7}{6}\)

\(=\dfrac{20}{6}\)

Số học sinh giỏi toán là:

\(40\cdot\dfrac{2}{5}=16\left(hs\right)\)

Số học sinh giỏi văn:

\(40\cdot\dfrac{3}{8}=15\left(hs\right)\)

Đáp số: ...

\(\dfrac{3}{5}+x=\dfrac{17}{5}-\left(\dfrac{5}{7}-\dfrac{2}{7}\right)\)

\(\Rightarrow\dfrac{3}{5}+x=\dfrac{17}{5}-\dfrac{3}{7}\)

\(\Rightarrow\dfrac{3}{5}+x=\dfrac{104}{35}\)

\(\Rightarrow x=\dfrac{104}{35}-\dfrac{3}{5}\)

\(\Rightarrow x=\dfrac{83}{35}\)

\(C=\left\{1;3;5;7;9;...;95;97;99\right\}\)

C={1;3;5;7;9;11;13;15;17;19;21;23;25;27;29;31;33;35;37;39;41;43;45;47;49; 51;53;55;57;59;61;63;65;67;69;71;73;75;77;79;81;83;85;87;89;91;93;95;97;99}

Cần số xe là:

\(800\div45=17\) ( xe ) ( dư 35 chỗ ngồi )

Để chở đủ hành khách thì cần thêm 1 xe nữa để chở hết số hành khách đó

=> Cần 18 xe để chở đủ 800 hành khách

Số ô tô để chở 800 hành khách :

\(800:45\sim17,78=18\) (ô tô)

Đáp số 18 ô tô

Câu a check lại đề số xấu

a) \(...\left(x+3\right)^3=5^3\Rightarrow x+3=5\Rightarrow x=2\)

b) \(...\Rightarrow-4< x< 9\)

c) \(...\Rightarrow2x+12>0\Rightarrow2x>-12\Rightarrow x>-6\)

\(107-9,36:3,6\times1,8\\ =107-9,36:2=107-4,68=102,32\\ ---\\ X:5,6=19,04\\ X=19,04\times5,6=106,624\)

\(\dfrac{21}{36}-\left(-\dfrac{11}{30}\right)=\dfrac{7}{12}+\dfrac{11}{30}=\dfrac{7.5+11.2}{60}=\dfrac{57}{60}=\dfrac{19}{20}\\ ----\\\dfrac{-4}{8}+\left(-\dfrac{3}{10}\right)=\dfrac{-1}{2}-\dfrac{3}{10}=\dfrac{-1.5-3}{10}=\dfrac{-8}{10}=-\dfrac{4}{5}\\ ----\\ \dfrac{7}{12}-\left(-\dfrac{9}{20}\right)=\dfrac{7}{12}+\dfrac{9}{20}=\dfrac{7.5+9.3}{60}=\dfrac{62}{60}=\dfrac{31}{30}\\ ---\\ \dfrac{-2}{5}+\left(-\dfrac{11}{30}\right)=-\dfrac{2}{5}-\dfrac{11}{30}=\dfrac{-2.6-11}{30}=-\dfrac{29}{30}\)