\(1\dfrac{1}{15}\times1\dfrac{1}{16}\times1\dfrac{1}{17}\times...\times1\dfrac{1}{2006}\\ =\dfrac{16}{15}\times\dfrac{17}{16}\times\dfrac{18}{17}\times...\times\dfrac{2007}{2006}\\ =\dfrac{2007}{15}\\ =\dfrac{669}{5}\)

tại sao bằng 2007/15 ạ?

Đọc đề khó hiểu quá bạn. Chữ "và" ở đây nghĩa là gì nhỉ?

a)    \(\frac{3}{16}+\frac{4}{15}+\frac{5}{16}+\frac{1}{15}\)

\(=\left(\frac{3}{16}+\frac{5}{16}\right)+\left(\frac{4}{15}+\frac{1}{15}\right)\)

\(=\frac{1}{2}+\frac{1}{3}\)

\(=\frac{5}{6}\)

b)   \(\frac{6}{7}\times\frac{8}{15}\times\frac{7}{6}\times\frac{15}{16}\)

\(=\left(\frac{6}{7}\times\frac{7}{6}\right)\times\left(\frac{8}{15}\times\frac{15}{16}\right)\)

\(=1\times\frac{1}{2}=\frac{1}{2}\)

c)   \(\frac{19}{20}\times\frac{13}{21}+\frac{9}{20}\times\frac{8}{21}\)

\(=\frac{19\times13}{20\times21}+\frac{9\times8}{20\times21}\)

\(=\frac{247}{420}+\frac{72}{420}\)

\(=\frac{319}{420}\)

còn phần D đâu bn 

tích cho chị nha

 câu a)     = 5/6

 câu b = 1/2

 câu c = 319/420

( 1 + 1/13 ) x ( 1 + 1/14 ) x ( 1 + 1/15 ) x ( 1 + 1/16 ) x ( 1 + 1/17 )

= 14/13 x 15/14 x 16/15 x 17/16 x 18/17

= 18/13