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G0
3 tháng 10 2023 lúc 17:46

`#3107.101107`

a)

\(\dfrac{-22}{25}+\left(\dfrac{3}{7}-0,12\right)\\ =\dfrac{-22}{25}+\dfrac{3}{7}-0,12\\ =-\dfrac{79}{175}-0,12\\ =-\dfrac{4}{7}\)

b)

\(\dfrac{3}{8}-\left(1,2-\dfrac{5}{8}\right)\\ =\dfrac{3}{8}-1,2+\dfrac{5}{8}\\ =\dfrac{8}{8}-1,2\\ =1-1,2\\ =-0,2\)

c)

\(\dfrac{4}{15}-\left(2,9-\dfrac{11}{15}\right)\\ =\dfrac{4}{15}-2,9+\dfrac{11}{15}\\=\dfrac{15}{15}-2,9\\ =1-2,9\\ =-1,9\)

d)

\(\dfrac{17}{11}-\left(\dfrac{6}{5}-\dfrac{16}{11}\right)+\dfrac{26}{5}\\ =\dfrac{17}{11}-\dfrac{6}{5}+\dfrac{16}{11}+\dfrac{26}{5}\\ =\left(\dfrac{17}{11}+\dfrac{16}{11}\right)+\left(-\dfrac{6}{5}+\dfrac{26}{5}\right)\\ =\dfrac{33}{11}+\dfrac{20}{5}\\ =3+4\\ =7\)

e)

\(\dfrac{39}{5}+\left(\dfrac{9}{4}-\dfrac{9}{5}\right)-\left(\dfrac{5}{4}+\dfrac{6}{7}\right)\\ =\dfrac{39}{5}+\dfrac{9}{4}-\dfrac{9}{5}-\dfrac{5}{4}-\dfrac{6}{7}\\ =\left(\dfrac{39}{5}-\dfrac{9}{5}\right)+\left(\dfrac{9}{4}-\dfrac{5}{4}\right)-\dfrac{6}{7}\\ =\dfrac{30}{5}+\dfrac{4}{4}-\dfrac{6}{7}\\ =6+1-\dfrac{6}{7}\\=\dfrac{43}{7}\)

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