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

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

\(=\dfrac{7}{3}+\dfrac{8}{6}\)\(=\dfrac{7}{3}+\dfrac{4}{3}\)

\(=\dfrac{11}{3}\)

\(\frac{1}{2}-\frac{2}{5}+\frac{1}{3}-\frac{3}{5}+\frac{1}{6}\)

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

\(=\left(\frac{3}{6}+\frac{2}{6}+\frac{1}{6}\right)+\left(\frac{2}{5}+\frac{3}{5}\right)\)

\(=1+1\)

\(=2\)

@muối

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

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

= (1/2 + 1/3 + 1/6) - (2/5 + 3/5)

= 1 - 1 

= 0

Chúc bạn học tốt.

😁😁😁

1/2 - 2/5 + 1/3 - 3/5 + 1/6 = 0

Để mình bài này dễ lắm

1/3 : 2/3 - 1/2 + 2/3 - 1/6

= 1/2 - 1/2 +2/3 -1/6 

= 2/3 -1/6 

= 4/6 - 1/6

= 3/6 = 1/2

a)3/2 x (1/6+2/6+3/6)

=3/2 x 1

=3/2

mình chắc chắn 100%

\(\frac{3}{2}\cdot\frac{1}{6}+\frac{3}{2}\cdot\frac{2}{6}+\frac{3}{2}\cdot\frac{3}{6}\)

\(=\frac{3}{2}\cdot\left(\frac{1}{6}+\frac{2}{6}+\frac{3}{6}\right)\)

\(=\frac{3}{2}\cdot\frac{6}{6}\)

\(=\frac{3}{2}\cdot1=\frac{3}{2}\)

**** !

3\2

`4/6 xx 1/5 + 4/6 xx 3/5 + 2/6 xx 4/5`

`= 4/6 xx (1/5 + 3/5) + 2/6 xx 4/5`

`= 4/6 xx 4/5 + 2/6 xx 4/5`

`= (4/6 +2/6) xx 4/5`

`= 6/6 xx 4/5`

`=1 xx 4/5`

`=4/5`

Em cảm ơn

=6,96+13,34+19,72+17,98

=20,3+37,7

=58

\(\frac{3}{1\times2}+\frac{3}{2\times3}+...+\frac{3}{5\times6}\)

\(=3\left(\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{5\times6}\right)\)

\(=3\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{5}-\frac{1}{6}\right)\)

\(=3\left(1-\frac{1}{6}\right)=3\times\frac{5}{6}=\frac{5}{2}\)

=> S=3(1/1*2+1/2*3+...........+1/5*6

=>S=3*(1-1/6)

=>S=3*5/6

=>S=5/2

 đúng 100%

\(5\dfrac{3}{4}:3+2\dfrac{1}{4}\times\dfrac{1}{3}-\dfrac{1}{8}=\left(5\dfrac{3}{4}+2\dfrac{1}{4}\right)\times\dfrac{1}{3}-\dfrac{1}{8}\\ =8\times\dfrac{1}{3}-\dfrac{1}{8}=\dfrac{8}{3}-\dfrac{1}{8}=\dfrac{61}{24}\\ ----\\ \dfrac{3}{5}:\dfrac{5}{6}:\dfrac{6}{7}:\dfrac{7}{8}+\dfrac{2}{5}+\dfrac{23}{35}\\ =\dfrac{3}{5}\times\dfrac{6}{5}\times\dfrac{7}{6}\times\dfrac{8}{7}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{18}{25}\times\dfrac{4}{3}+\dfrac{2}{5}+\dfrac{23}{35}=\dfrac{353}{175}\)