chỗ \(\frac{2014}{5}sai\Rightarrow\frac{2015}{5}=403\)

bạn cứ nhân ra là xong

\(X=\frac{6}{5}x\frac{7}{6}x\frac{8}{7}x....x\frac{2014}{2013}=\frac{2014}{5}\)

tìm số tự nhiên mà

=\(\frac{6}{5}\cdot\frac{7}{6}\cdot\frac{8}{7}\cdot\frac{9}{8}\cdot...\cdot\frac{2015}{2014}\)

=\(\frac{6\cdot7\cdot8\cdot9\cdot....\cdot2015}{5\cdot6\cdot7\cdot8...\cdot2014}\)

=\(\frac{2015}{5}\)

=403

x la nhan nhe

bach thai son bít rùi

\(1\frac{1}{5}\)X \(1\frac{1}{6}\) X \(1\frac{1}{7}\) X \(...\)X \(1\frac{1}{2014}\) = x

x = \(\frac{6}{5}\) X \(\frac{7}{6}\) X \(\frac{8}{7}\) X \(...\)X \(\frac{2015}{2014}\)

x = \(\frac{6\cdot7\cdot8\cdot...\cdot2015}{5\cdot6\cdot7\cdot...2014}\)

x = \(\frac{2015}{5}\)

x = 403

6/5 × 7/6 × 8/7 × ... × 2015/2014 = x

2015/5 = x

x = 403

Vậy x = 403

Ủng hộ mk nha ♡_♥☆_★^_-

\(\Rightarrow x=\frac{6}{5}\times\frac{7}{6}\times\frac{8}{7}\times.......\times\frac{2015}{2014}\)

\(\Rightarrow x=\frac{6\times7\times8\times......\times2015}{5\times6\times7\times......\times2014}\)

\(\Rightarrow x=\frac{2015}{5}=403\)

2014/2014

https://dethi.violet.vn/present/showprint/entry_id/11072330

bạn vào link trên sẽ có full đề và đáp án 

p/s: nhớ k cho mình nha <3

\(\frac{x-2}{4}=-\frac{16}{2-x}\)

\(\Leftrightarrow\frac{x-2}{4}=\frac{16}{x-2}\)

\(\Leftrightarrow\left(x-2\right)^2=4.16=64\)

\(\Leftrightarrow\left(x-2\right)^2=8^2\)

\(\Leftrightarrow\left(x-2-8\right)\left(x-2+8\right)=0\)

\(\Leftrightarrow\left(x-10\right)\left(x+6\right)=0\Leftrightarrow\orbr{\begin{cases}x-10=0\\x+6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=10\\x=-6\end{cases}}}\)

 \(\dfrac{3}{4}\times\dfrac{8}{5}:1\dfrac{1}{6}\) 

=\(\dfrac{6}{5}:\) \(\dfrac{7}{6}\) 

=\(\dfrac{6}{5}\times\dfrac{6}{7}=\dfrac{36}{35}\)

2\(\dfrac{1}{3}\) x 1\(\dfrac{1}{4}\) -\(\dfrac{7}{5}\)

\(\dfrac{7}{3}\times\dfrac{5}{4}-\) \(\dfrac{7}{5}\) 

\(\dfrac{35}{12}-\dfrac{7}{5}\)

\(\dfrac{175}{60}-\dfrac{84}{60}=\dfrac{91}{60}\)

4\(\dfrac{2}{3}+1\dfrac{1}{4} +2\dfrac{1}{3}+2\dfrac{3}{7}\)

(4 +2) + \(\left(\dfrac{2}{3}+\dfrac{1}{3}\right)\) +1\(\dfrac{1}{4}\) + \(2\dfrac{3}{7}\) 

6 + 1 + \(\dfrac{5}{4}\) + \(\dfrac{17}{7}\)

7 + \(\dfrac{103}{28}\)

\(\dfrac{299}{28}\)

x. \(\dfrac{1}{2}\) =\(\dfrac{3}{4}+\dfrac{1}{5}\)

x . \(\dfrac{1}{2}=\dfrac{15}{20}+\dfrac{4}{20}\)

x.\(\dfrac{1}{2}=\dfrac{19}{20}\)

x      = \(\dfrac{19}{20}:\dfrac{1}{2}\)

x = 19/10

\(x-\dfrac{1}{5}=\dfrac{2}{3}\) . \(\dfrac{9}{4}\)

\(x-\dfrac{1}{5}=\) \(\dfrac{3}{2}\)

x = \(\dfrac{3}{2}+\dfrac{1}{5}\)

x =\(\dfrac{15}{10}\) + \(\dfrac{3}{10}\)

x=\(\dfrac{18}{10}\) =\(\dfrac{9}{5}\)

\(=\frac{6}{5}.\frac{7}{6}.\frac{8}{7}............\frac{2015}{2014}=\frac{2015}{5}=403\)

=> \(\frac{6}{5}.\frac{7}{6}.\frac{8}{7}...\frac{2014}{2013}.\frac{2015}{2014}=x\)

=> \(\frac{6.7.8.9...2014.2015}{5.6.7.8...2013.2014}=x\)

=> \(x=\frac{2015}{5}=403\)

= \(\frac{11}{10}\cdot\frac{12}{11}\cdot\frac{13}{12}\cdot\frac{14}{13}\cdot\frac{15}{14}\cdot\frac{16}{15}\cdot\frac{17}{16}\)

=11/10 x 12/11 x 13/12 x 14/13 x 15/14 x 16/15 x 17/16

= \(\frac{17}{10}\)

=\(\frac{11}{10}\)x \(\frac{12}{11}\)x .......... x \(\frac{16}{15}\)x\(\frac{17}{16}\)

= \(\frac{11^1x12^1x......x16^1x17}{10x11^1x...x15^1x16^1}\)( những số có số nhỏ ở trên là rút gọn với số khác VD:11 rút gọn cho 11 )

=\(\frac{1x1x......x1x17}{10x1x.......x1x1}\)

=\(\frac{17}{10}\)

= 1,7

                                                                            Bài giải

      \(1\frac{1}{10}\text{ x }1\frac{1}{11}\text{ x }1\frac{1}{12}\text{ x }1\frac{1}{13}\text{ x }1\frac{1}{14}\text{ x }1\frac{1}{15}\text{ x }1\frac{1}{16}\)

\(=\frac{11}{10}\text{ x }\frac{12}{11}\text{ x }\frac{13}{12}\text{ x }\frac{14}{13}\text{ x }\frac{15}{14}\text{ x }\frac{16}{15}\text{ x }\frac{17}{16}\)

\(=\frac{11\text{ x }12\text{ x }13\text{ x }14\text{ x }15\text{ x }16\text{ x }17}{10\text{ x }11\text{ x }12\text{ x }13\text{ x }14\text{ x }15\text{ x }16}\)

\(=\frac{17}{10}\)