\(\frac{9\cdot8\cdot33}{56\cdot54\cdot11}=\frac{9\cdot8\cdot3\cdot11}{8\cdot7\cdot9\cdot3\cdot2\cdot11}=\frac{1}{7\cdot2}=\frac{1}{14}\)

\(\frac{8\cdot15+16\cdot4-8\cdot21}{16\cdot5-8\cdot9}=\frac{8\cdot15+8\cdot2\cdot4-8\cdot21}{2\cdot8\cdot5-8\cdot9}=\frac{8\cdot15+8\cdot8-8\cdot21}{8\cdot10-8\cdot9}=\frac{8\left(15+8-21\right)}{8\left(10-9\right)}=\frac{8\cdot2}{8\cdot1}=\frac{2}{1}=2\)

=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6

=1/2-1/6=1/3

\(\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{4\times5}+\dfrac{1}{5\times6}=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}=\dfrac{1}{2}-\dfrac{1}{6}=\dfrac{3-1}{6}=\dfrac{2}{6}=\dfrac{1}{3}\)

1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6

=1/2-1/6

=3/6-1/6

=2/6=1/3

=1/2-1/3+1/3-1/4+...+1/6-1/7

=1/2-1/7

=5/14

\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}\)

\(=\dfrac{1}{2}-\dfrac{1}{6}\)

\(=\dfrac{1}{3}\)

\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}=\dfrac{1}{2}-\dfrac{1}{6}=\dfrac{1}{3}\)

giúp mik với mik cần gấp lắm

mik sẽ tích co bn trả lời đầu tiên(nếu đúng nha)

Trả lời :

\(\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}=\frac{1}{2}-\frac{1}{5}=\frac{3}{10}\)

~Std well~

#Dương