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c) \(\dfrac{1}{15}+\dfrac{1}{35}+\dfrac{1}{63}+\dfrac{1}{99}+\dfrac{1}{143}=\dfrac{1}{2}\left(\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+\dfrac{2}{9.11}+\dfrac{2}{11.13}\right)\)

\(=\dfrac{1}{2}\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{11}-\dfrac{1}{13}\right)=\dfrac{1}{2}\left(\dfrac{1}{3}-\dfrac{1}{13}\right)=\dfrac{1}{2}.\dfrac{10}{39}=\dfrac{5}{39}\)

e) \(\dfrac{1}{5}.\dfrac{4}{7}+\dfrac{3}{7}.\dfrac{1}{5}-\dfrac{1}{5}=\dfrac{1}{5}\left(\dfrac{4}{7}+\dfrac{3}{7}\right)-\dfrac{1}{5}=\dfrac{1}{5}.1-\dfrac{1}{5}=0\)

b: \(=\dfrac{1}{9}\cdot\dfrac{3}{5}+\dfrac{5}{6}\cdot\dfrac{3}{5}-\dfrac{7}{2}\cdot\dfrac{3}{5}\)

\(=\dfrac{3}{5}\left(\dfrac{1}{9}+\dfrac{5}{6}-\dfrac{7}{2}\right)=\dfrac{3}{5}\cdot\dfrac{-23}{9}=\dfrac{-69}{45}=\dfrac{-23}{15}\)

d: \(=\left(\dfrac{5}{13}+\dfrac{8}{13}\right)+\left(-\dfrac{20}{41}-\dfrac{21}{41}\right)-\dfrac{5}{7}=-\dfrac{5}{7}\)

=0.4992050131

\(\left(MSC:729\right)\)

\(=\dfrac{243+81+27+9+3}{729}\)

\(=\dfrac{363}{729}\)

\(=\dfrac{121}{243}\)

lỗi rồi

???

lỗi

1178,1 á bạn 

HT

15.37.4 + 120.21 + 21.5.12 = 15.4.37 + 21.2.60 + 5.12.21 = 60.37 + 42.60 + 60.21 = 60.(37 + 42 + 21) = 60.100 = 6000

7/12x8/5-7/12x3/5

con chó Nguyễn Thị Thu kia

7,1 + 7,2 + 7,3 + 7,4 + ... + 7,9

= ( 7,1 + 7,9 ) + ( 7,2 + 7,8 ) + ( 7,3 + 7,7 ) + ( 7,4 + 7,6 ) + 7,5

= 15 + 15 + 15 + 15 + 7,5

= 15 x 4 + 7,5

= 60 + 7,5

= 67,5