( 1/2 - 1/3 + 3/4 ) : ( 2/5 - 1/x ) = 2,5

11/12  : ( 2/5 - 1/x ) = 2,5

2/5 - 1/x  = 11/12 : 2,5

2/5 - 1/x = 11/30 

        1/x = 2/5 - 11/30

        1/x = 1/30

=> x = 30

\(a.32,5-3\cdot0,87=32,5-2,61=29,89\)

\(8,5\cdot\left(1\dfrac{1}{2}+\dfrac{4}{4}\right):5=8,5\cdot\left(\dfrac{3}{2}+\dfrac{4}{4}\right):5\\ =8,5\cdot\left(\dfrac{6}{4}+\dfrac{4}{4}\right):5\\ =8,5\cdot\dfrac{10}{4}:5\\ =\dfrac{85}{4}:5\\ =\dfrac{17}{4}\)

\(b.30,96-6,45+14,4:3=30,96-6,45+4,8\\ =29,31\)

\(\dfrac{2}{5}\cdot\left(\dfrac{4}{5}-\dfrac{1}{2}\right)=\dfrac{2}{5}\cdot\left(\dfrac{8}{10}-\dfrac{5}{10}\right)\\ =\dfrac{2}{5}\cdot\dfrac{3}{10}=\dfrac{3}{25}\)

bài 2

\(a.2,5\cdot12,5\cdot8\cdot0,4=\left(2,5\cdot0,4\right)\left(12,5\cdot8\right)\\ =1\cdot100=100\)

b,\(\dfrac{12}{15}\cdot\dfrac{5}{6}\cdot\dfrac{3}{20}\cdot\dfrac{32}{5}=\dfrac{12\cdot5\cdot3\cdot32}{15\cdot6\cdot20\cdot5}\\ =\dfrac{3\cdot4\cdot5\cdot3\cdot4\cdot8}{3\cdot5\cdot2\cdot3\cdot5\cdot4\cdot5}=\dfrac{16}{25}\)

Bài 1: 

a) \(32.5-3\cdot0.87=32.5-2.61=29.89\)

\(8.5\cdot\left(1\dfrac{1}{2}+\dfrac{4}{4}\right):5=8.5\cdot\dfrac{5}{2}:5=\dfrac{17}{2}\cdot\dfrac{5}{2}:5=\dfrac{85}{4}\cdot\dfrac{1}{5}=\dfrac{17}{4}\)

(15/4.4-12/5.5/4)-(7/2:5/2-1/5)-1/5.x=51/5

(15-3)-(7/5-1/5)-1/5.x=51/5

12-6/5-1/5.x=51/5

54/5-1/5.x=51/5

        1/5x=54/5-51/5

         1/5x=3/5

             x=3

\(x+0,9=20,17\Leftrightarrow x=20,17-0,9=19,24\)

\(47,5-x=4,64\Leftrightarrow x=47,5-4,64=42,86\)

\(3x=\dfrac{5}{4}-\dfrac{1}{2}\Leftrightarrow3x=\dfrac{3}{4}\Leftrightarrow x=\dfrac{1}{4}\)

\(a.x=20,17-0,9=19,27\)

\(b.47,5-x=4,56\Leftrightarrow x=42,86\)

\(c.3.x=\dfrac{5}{4}-\dfrac{1}{2}\Leftrightarrow3x=\dfrac{3}{4}\Leftrightarrow x=\dfrac{1}{4}\)

a, 3/4 + 1/4.x=2

    1/4.x        = 2-3/4

     1/4.x      =5/4

     x           = 5/4:1/4

     x           = 5

b, x-2/3.9/4=2,5-1/2

    x-2/3.9/4=2

    x-2/3     =2:9/4

    x-2/3   =8/9

     x        = 8/9+2/3

     x         = 14/9

\(\left(4\times2,5\right)\times\left(0,25\times2\right)\times\left(\dfrac{1}{5}\times\dfrac{1}{2}\right)\)

=\(10\times\dfrac{1}{2}\times\dfrac{1}{10}=\dfrac{1}{2}\)