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14/21x 2/11+1/11: 3/2 + 2/3: 11/4+ 4/11x16/24

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18 tháng 3 2023 lúc 11:17

\(\dfrac{14}{21}\times\dfrac{2}{11}+\dfrac{1}{11}:\dfrac{3}{2}+\dfrac{2}{3}:\dfrac{11}{4}+\dfrac{4}{11}\times\dfrac{16}{24}\\ =\dfrac{2}{3}\times\dfrac{2}{11}+\dfrac{1}{11}\times\dfrac{2}{3}+\dfrac{2}{3}\times\dfrac{4}{11}+\dfrac{4}{11}\times\dfrac{2}{3}\\ =\dfrac{2}{3}\times\left(\dfrac{2}{11}+\dfrac{1}{11}+\dfrac{4}{11}+\dfrac{4}{11}\right)\\ =\dfrac{2}{3}\times\dfrac{2+1+4+4}{11}\\ =\dfrac{2}{3}\times\dfrac{11}{11}=\dfrac{2}{3}\times1=\dfrac{2}{3}\)

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