Question

[Phạm Minh Thu]

Tính:

cả cách làm

Answer 1

[Mạnh Lê]

\(A=\frac{55}{11.16}+\frac{55}{16.21}+\frac{55}{21.26}+\frac{55}{26.31}+\frac{55}{31.36}+\frac{55}{36.41}\)

\(A=\frac{55}{5}\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{36}-\frac{1}{41}\right)\)

\(A=11\left(\frac{1}{11}-\frac{1}{41}\right)\)

\(A=11.\frac{30}{451}\)

\(A=\frac{30}{41}\)

Answer 2

[l҉o҉n҉g҉ d҉z҉]

Ta có : 

\(=5\left(\frac{5}{11.16}+\frac{5}{16.21}+\frac{5}{21.26}+\frac{5}{26.31}+\frac{5}{31.36}+\frac{5}{36.41}\right)\)

\(=5\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+.....+\frac{1}{36}-\frac{1}{41}\right)\)

 \(=5\left(\frac{1}{11}-\frac{1}{41}\right)\)

\(=5\left(\frac{30}{451}\right)=\frac{150}{451}\)