=1/2*2/3*3/4*4/5*5/6=1/6

thank's nha

a, \(\dfrac{1}{2}.\dfrac{1}{4}.\dfrac{1}{6}=\dfrac{1}{48}\)

b, \(\dfrac{1}{2}.\dfrac{1}{4}:\dfrac{1}{6}=\dfrac{1}{8}.6=\dfrac{6}{8}=\dfrac{3}{4}\)

\(a,\dfrac{1}{2}\times\dfrac{1}{4}\times\dfrac{1}{6}=\dfrac{1}{8}\times\dfrac{1}{6}=\dfrac{1}{48}\)

\(b,\dfrac{1}{2}\times\dfrac{1}{4}:\dfrac{1}{6}=\dfrac{1}{8}:\dfrac{1}{6}=\dfrac{6}{8}=\dfrac{3}{4}\)

1/48

3/4

1. ĐKXĐ: \(x\ne\pm1\)

2. \(A=\left(\dfrac{x+1}{x-1}-\dfrac{x+3}{x+1}\right)\cdot\dfrac{x+1}{2}\)

\(=\dfrac{\left(x+1\right)^2-\left(x-3\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}\cdot\dfrac{x+1}{2}\)

\(=\dfrac{x^2+2x+1-x^2+4x-3}{\left(x-1\right)\left(x+1\right)}\cdot\dfrac{x+1}{2}\)

\(=\dfrac{6x-2}{\left(x-1\right)\left(x+1\right)}\cdot\dfrac{x+1}{2}\)

\(=\dfrac{2\left(x-3\right)\left(x+1\right)}{2\left(x-1\right)\left(x+1\right)}\)

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

3. Tại x = 5, A có giá trị là:

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

4. \(A=\dfrac{x-3}{x-1}\) \(=\dfrac{x-1-3}{x-1}=1-\dfrac{3}{x-1}\)

Để A nguyên => \(3⋮\left(x-1\right)\) hay \(\left(x-1\right)\inƯ\left(3\right)=\left\{1;-1;3;-3\right\}\)

\(\Rightarrow\left\{{}\begin{matrix}x-1=1\\x-1=-1\\x-1=3\\x-1=-3\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=2\left(tmđk\right)\\x=0\left(tmđk\right)\\x=4\left(tmđk\right)\\x=-2\left(tmđk\right)\end{matrix}\right.\)

Vậy: A nguyên khi \(x=\left\{2;0;4;-2\right\}\)

( 1 - 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x ( 1 - 1/5 ) x ( 1 - 1/6 )

= 1/2 x 2/3 x 3/4 x 4/5 x 5/6

= 1/6

bạn có chắc chắn không ?

\(\left(6\div\dfrac{3}{5}-1\dfrac{1}{6}\times\dfrac{6}{7}\right)\div\left(4\dfrac{1}{5}\times\dfrac{10}{11}+5\dfrac{2}{11}\right)\)

\(=\left(6\times\dfrac{5}{3}-\dfrac{7}{6}\times\dfrac{6}{7}\right)\div\left(\dfrac{21}{5}\times\dfrac{10}{11}+\dfrac{57}{11}\right)\)

\(=\left(10-1\right)\div\left(\dfrac{210}{55}+\dfrac{57}{11}\right)\)

\(=9\div9\)

\(=1\)

bạn viết thế này khó nhìn quá

nhìn hơi đau mắt nhá bạn hoa mắt quá

( 1- \(\frac{1}{2}\))x( 1- \(\frac{1}{3}\))x( 1- \(\frac{1}{4}\))x( 1- \(\frac{1}{5}\))x( 1- \(\frac{1}{6}\)).

= \(\frac{1}{2}\)x \(\frac{2}{3}\)x \(\frac{3}{4}\)x \(\frac{4}{5}\)x \(\frac{5}{6}\).

= \(\frac{1\times2\times3\times4\times5}{2\times3\times4\times5\times6}\).

= \(\frac{1}{6}\).

Ăn có ...chơi có. ...

Bài 1

1/2 x 3/4 : 4/5 

= 3/8 : 4/5 

= 3/8 x 5/4

= 15/32

2/3 + 1/6 - 1/2

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

= 5/6 - 3/6

= 1/3

3/5 + 4 : 2/3 - 3/2

= 3/5 + 4 x 3/2 - 3/2

= 3/5 + 6 - 3/2

= 3/5 + 30/5 - 3/2

= 33/5 - 3/2

= 66/10 - 15/10

= 28/5

Bài 2

x - 1/4 = 1/2 

x         = 1/2 + 1/4

x         = 2/4 + 1/4 

x         = 3/4

2/3 + x = 1

         x = 1 - 2/3 

         x = 3/3 - 2/3

         x = 1/3

1/2 x 3/4 : 4/5

=1/2 x 3/4 x 4/5

=3/8 x 4/5

=3/10