H24

 

H24
10 tháng 10 2023 lúc 20:26

\(\dfrac{2}{3}+\dfrac{-3}{4}+\dfrac{2}{6}\\ =\dfrac{8}{12}+\dfrac{-9}{12}+\dfrac{4}{12}\\ =\dfrac{8-9+4}{12}\\ =\dfrac{3}{12}=\dfrac{1}{4}\\ \left(2^2:\dfrac{4}{3}-\dfrac{1}{2}\right)\cdot\dfrac{6}{5}-17\\ =\left(4\cdot\dfrac{3}{4}-\dfrac{1}{2}\right)\cdot\dfrac{6}{5}-17\\ =\left(3-\dfrac{1}{2}\right)\cdot\dfrac{6}{5}-17\\ =\dfrac{5}{2}\cdot\dfrac{6}{5}-17\\ =\dfrac{30}{10}-17\\ =3-17\\ =-14\)

\(\dfrac{6}{5}\cdot\sqrt{1\dfrac{9}{16}}-\left(-\dfrac{3}{4}\right)^2:0,25\\ =\dfrac{6}{5}\cdot\sqrt{\dfrac{25}{16}}-\dfrac{9}{16}:\dfrac{1}{4}\\ =\dfrac{6}{5}\cdot\dfrac{5}{4}-\dfrac{9}{16}\cdot4\\ =\dfrac{30}{20}-\dfrac{36}{16}\\ =\dfrac{3}{2}-\dfrac{9}{4}\\ =\dfrac{9}{4}-\dfrac{9}{4}=0\)

\(\left(-\dfrac{3}{4}\right)^2:\left(-\dfrac{1}{4}\right)^2+9\left(-\dfrac{1}{9}\right)+\left|-\dfrac{3}{2}\right|\\ =\dfrac{9}{16}:\dfrac{1}{16}+\left(-1\right)+\dfrac{3}{2}\\ =\dfrac{9}{16}\cdot16+\left(-1\right)+\dfrac{3}{2}\\ =9+\left(-1\right)+\dfrac{3}{4}\\ =8+\dfrac{3}{4}\\ =\dfrac{32}{4}+\dfrac{3}{4}=\dfrac{35}{4}\)

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