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e: \(=\dfrac{33}{40}\cdot\dfrac{3}{4}\cdot12=\dfrac{99}{160}\cdot12=\dfrac{99\cdot3}{40}=\dfrac{297}{40}\)
g: \(=-\dfrac{9}{17}\cdot\dfrac{51}{9}\cdot\dfrac{-4}{5}\cdot\left(-19\right)==3\cdot\dfrac{4}{5}\cdot\left(-19\right)=-\dfrac{228}{5}\)
d: \(=\dfrac{-12}{25}\cdot\dfrac{-35}{18}=\dfrac{2}{3}\cdot\dfrac{7}{5}=\dfrac{14}{15}\)
em ơi chưa có bài em nhé, em chưa tải bài lên lám sao mình giúp được
c)\(\left(1+\dfrac{1}{2}\right)\left(1+\dfrac{1}{3}\right)\left(1+\dfrac{1}{4}\right)....\left(1+\dfrac{1}{2020}\right)\left(1+\dfrac{1}{2021}\right)\)
\(=\left(\dfrac{1.2}{1.2}+\dfrac{1}{2}\right)\left(\dfrac{1.3}{1.3}+\dfrac{1}{3}\right)...\left(\dfrac{1.2021}{1.2021}+\dfrac{1}{2021}\right)\)
\(=\dfrac{3}{1.2}\cdot\dfrac{4}{1.3}\cdot\cdot\cdot\cdot\dfrac{2022}{1.2021}\)
\(=\dfrac{3.4.5...2022}{\left(1.1.1....1\right)\left(2.3.4...2021\right)}\)
\(=\)\(\dfrac{3.4.5...2022}{2.3.4...2021}\)
\(=\dfrac{2022}{2}=1011\)
\(d\))\(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)....\left(1-\dfrac{1}{199}\right)\left(1-\dfrac{1}{200}\right)\)
\(=\left(\dfrac{2}{1.2}-\dfrac{1}{1.2}\right)\left(\dfrac{3}{1.3}-\dfrac{1}{1.3}\right)....\left(\dfrac{200}{1.200}-\dfrac{1}{1.200}\right)\)
\(=\dfrac{1.2.3....199}{\left(1.1.1....1\right).\left(2.3.4....200\right)}\)
\(=\dfrac{1.2.3...199}{2.3.4...200}\)
Nếu mik làm sai mong bạn thông cảm
a: =3/2-2/3:(4/18+3/18)
=3/2-2/3:7/18
=3/2-2/3*18/7
=3/2-12/7
=-3/14
b: =(5/8-1/5)*2-1/4
=5/4-2/5-1/4
=1-2/5=3/5
c: =(3+5/6-1/2):55/12
=10/3*12/55
=8/11