\(\dfrac{3}{4}.\dfrac{2}{3}-\dfrac{1}{6}.\dfrac{3}{4}-\dfrac{3}{4}.\dfrac{1}{2}\) 

= \(\dfrac{3}{4}.\left(\dfrac{2}{3}-\dfrac{1}{6}-\dfrac{1}{2}\right)\) 

= \(\dfrac{3}{4}.0\) 

= 0

\(\dfrac{3}{4}\cdot\dfrac{2}{3}-\dfrac{1}{6}\cdot\dfrac{3}{4}-\dfrac{3}{4}\cdot\dfrac{1}{2}\)

\(=\dfrac{3}{4}\left(\dfrac{2}{3}-\dfrac{1}{6}-\dfrac{1}{2}\right)\)

\(=\dfrac{3}{4}\cdot\left(\dfrac{4}{6}-\dfrac{1}{6}-\dfrac{3}{6}\right)\)

=0

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

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

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

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

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) \(32.5-3\cdot0.87=32.5-2.61=29.89\)

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

b) \(30.96-6.45+14.4:3=24.51+4.8=29.33\)

\(\dfrac{2}{5}\left(\dfrac{4}{5}-\dfrac{1}{2}\right)=\dfrac{2}{5}\left(\dfrac{8}{10}-\dfrac{5}{10}\right)=\dfrac{2}{5}\cdot\dfrac{3}{10}=\dfrac{6}{50}=\dfrac{3}{25}\)

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

=(\(\frac{1}{3}-\frac{1}{5}\)) x \(\frac{1}{2}\)

=\(\frac{2}{15}x\)\(\frac{1}{2}\)

=\(\frac{1}{15}\)

1/3 * 1/2 - 1/5 * 1/2

= (1/3 + 1/5) * 1/2

=8/15*1/2

=4/15

1\3x1\2-1\5x1\2=1\3 x1\2-1\5x1\2=1\7-1\6=1\1=1

\(\frac{5}{9}\times\frac{8}{17}+\frac{4}{9}\times\frac{8}{17}\)

\(=\left(\frac{5}{9}+\frac{4}{9}\right)\times\frac{8}{17}\)

\(=1\times\frac{8}{17}\)

\(=\frac{8}{17}\)

      \(\frac{5}{9}x\frac{8}{17}+\frac{4}{9}x\frac{8}{17}\)

\(=\frac{8}{17}x\left(\frac{5}{9}+\frac{4}{9}\right)\)

\(=\frac{8}{17}x\frac{9}{9}\)

\(=\frac{8}{17}x1\)

\(=\frac{8}{17}\)

5/9 x 8/17 + 4/9 x 8/17 

= ( 5/9 + 4/9 ) x 8/17 

= 1 x 8/17 

= 8/17 

b2 giải

a, 36 x 45 / 6 x5 = 6 x 6 x 9 x 5 / 6 x 5 = 54.

b, 56 x 63 / 9 x 8 = 8 x 7 x 7 x9 / 9 x 8 = 49. 

Vậy..........

\(\frac{5}{5}x\)\(\frac{17}{21}+\frac{17}{21}x\)\(\frac{2}{5}\)

=(\(\frac{5}{5}+\frac{2}{5}\)) x\(\frac{17}{21}\)

=\(\frac{7}{5}x\)\(\frac{17}{21}\)

\(\frac{119}{105}\)

ko hiểu

 7/5x17/21=17/15 mới đúng

51/30

24/65

chưa xong 

a,Ta có \(\frac{x}{6}=\frac{2}{3}\)

\(\Rightarrow3x=12\Rightarrow x=4\)

Vậy x = 4

b, \(\left(\frac{4}{7}+\frac{8}{9}\right)-\frac{5}{9}=\frac{4}{7}+\frac{8}{9}-\frac{5}{9}\)

\(=\frac{4}{7}+\left(\frac{8}{9}-\frac{5}{9}\right)\)

\(=\frac{4}{7}+\frac{1}{3}\)

\(=\frac{19}{21}\)

Bài 1 mình nhầm. x phần 6 = 4 phần 7 mới đúng. Cảm ơn bạn nhé

1/10+2/20+3/30+4/40+5/50+6/60+7/70+8/80+9/90

=1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10

=1/10 x 9 = 9/10

=7/70+7/70+7/70+7/70+7/70+7/70+7/70+7/70+7/70

=7/70*9/9

=63/630=1/10