Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(1\dfrac{1}{15}\times1\dfrac{1}{16}\times1\dfrac{1}{17}\times...\times1\dfrac{1}{2006}\\ =\dfrac{16}{15}\times\dfrac{17}{16}\times\dfrac{18}{17}\times...\times\dfrac{2007}{2006}\\ =\dfrac{2007}{15}\\ =\dfrac{669}{5}\)
A) x/y-3/8=1 x/y-3/8=1/2 B)4/9:x/y=1 4/9:x/y=2/3
x/y=1+3/8 x/y=1/2+3/8 x/y=4/9:1 x/y=4/9:2/3
x/y=8/8+3/8 x/y=4/8+3/8 x/y=4/9 x/y=2/3
x/y=11/8 x/y=7/8
Vậy X = \(1\frac{1}{5}\times1\frac{1}{6}\times....\times1\frac{1}{2014}=\frac{6}{5}\times\frac{7}{6}\times....\times\frac{2015}{2014}\)
\(X=\frac{\left(6\times7\times8\times....\times2014\right)\times2015}{\left(6\times7\times8\times....\times2014\right)\times5}\)
\(X=\frac{2015}{5}=403\)
\(1\frac{1}{2}\times1\frac{1}{3}\times1\frac{1}{4}\times1\frac{1}{5}\times...1\frac{1}{9}+2005.\)
\(=\frac{3}{2}\times\frac{4}{3}\times\frac{5}{4}\times\frac{6}{5}\times...\times\frac{10}{9}+2005\)
\(=\frac{10}{2}+2005=5+2005=2010\)
.
\(\frac{2013}{2014}:1\frac{1}{7}+\frac{2013}{2014}:\frac{11}{19}+\frac{2013}{2014}:\frac{11}{5}\)
= \(\frac{2013}{2014}:\left(1\frac{1}{7}+\frac{11}{19}+\frac{11}{5}\right)\)
= \(\frac{2013}{2014}:\left(\frac{8}{7}+\frac{11}{19}+\frac{11}{5}\right)\)
= \(\frac{2013}{2014}:\frac{2608}{665}\)
= \(0,2548...\)
\(1\frac{1}{15}\cdot1\frac{1}{16}\cdot1\frac{1}{17}\cdot...\cdot1\frac{1}{2006}\)
\(=\frac{16}{15}\cdot\frac{17}{16}\cdot\frac{18}{17}\cdot...\cdot\frac{2007}{2006}\)
\(=\frac{16\cdot17\cdot18\cdot...\cdot2007}{15\cdot16\cdot17\cdot...\cdot2006}\)
\(=\frac{2007}{15}\)
1\(\frac{1}{15}\) x 1\(\frac{1}{16}\) x 1\(\frac{1}{17}\) x ............ x 1\(\frac{1}{2016}\)
= \(\frac{16}{15}\)x \(\frac{17}{16}\)x \(\frac{18}{17}\)x ................. x \(\frac{2017}{2016}\)
= \(\frac{1}{15}\)x 2017
= \(\frac{2017}{15}\)