`1/2:3/4+5/6:3/4-2/8:3/4`

`=1/2 xx 4/3 + 5/6 xx 4/3 - 2/8 xx 4/3`

`=4/3 xx ( 1/2 + 5/6 - 2/8)`

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

`=4/3 xx ( 6/12 + 10/12 - 3/12)`

`=4/3 xx ( 16/12 - 3/12)`

`=4/3 xx 13/12`

`=13/9`

( 1/2 + 1/3 ) x 2/5

c1 = 5/6 x 2/5 = 1/3

c2 = 1/2 x 2/5 + 1/3 x 2/5

= 1/5 + 2/15 

= 1/3

3/5 x 17/21 x 2/5

c1 := 17/35 x 2/5 = 34/175

c2 : = (3/5 x 2/5) x 17/21 

= 6/25 x 17/21 

= 34/175?

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

c1 : = 2/15 x 1/2 

= 1/15

c2 : = 1/3 x 1/2 - 1/5 x 1/2

= 1/6 - 1/10

= 1/15

\(1+2+3+4+5+6+7+8+9+10\)

\(=\left(1+9\right)+\left(2+8\right)+\left(3+7\right)+\left(4+6\right)+10+5\)

\(=10+10+10+10+10+5\)

\(=10.5+5\)

\(=50+5\)

\(=55\)

_Chúc bạn học tốt_

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 

= 1 + 9 + 2 + 8 + 3 + 7 +4 + 6  + 5 + 10

= 10 +10 + 10+ 10 + 15

= 55

 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

=( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4+ 6 ) + 10 + 5

=     10    +     10      +     10      +      10    +  10 + 5

=                          10 * 5                                      + 5

=                                      50                                + 5

=                                                  55 

Bạn có thể ghi cách làm được không?

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

=\(\frac{5}{6}-\left(\frac{6}{15}+\frac{5}{15}\right)\)

=\(\frac{5}{6}-\frac{11}{15}\)

=\(\frac{25}{30}-\frac{22}{30}\)

=\(\frac{1}{10}\)

4/5:(3/4-1/4)

4/5:2/4=4/5:1/2

=8/5

\(\frac{3}{4}:\frac{4}{5}-\frac{1}{4}:\frac{4}{5}=\left(\frac{3}{4}-\frac{1}{4}\right):\frac{4}{5}=\frac{1}{2}:\frac{4}{5}=\frac{5}{8}\)

\(\frac{3}{4}:\frac{4}{5}-\frac{1}{4}:\frac{4}{5}\)

\(=\frac{3}{4}\times\frac{5}{4}-\frac{1}{4}\times\frac{5}{4}\)

\(=\frac{5}{4}\times\left(\frac{3}{4}-\frac{1}{4}\right)\)

\(=\frac{5}{4}\times\frac{1}{2}\)

\(=\frac{5}{8}\)

Chúc bn học tốt !!!

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20

=(1+19)+(2+18)+(3+17)+(4+16)+(5+15)+(6+14)+(7+13)+(8+12)+(9+11)+20+10

=20+20+20+20+20+20+20+20+20+20+10

=20×10+10

=200+10

=210

= ( 1 + 19 ) + ( 2 + 18 ) + ( 3 + 17 ) + (4 + 16 ) + ( 5 + 15 ) + ( 6 + 14 ) + ( 7 + 13 ) + ( 8 + 12) + ( 9+ 11 ) + 20

= 20 + 20 + 20 +20 +  20 +20 + 20 + 20 + 20 +20

= 20 x 10

= 200

tui đầu tiên đó 

Ta có : \(1+2+3+...+19+20\)

          \(=\frac{\left(20+1\right).20}{2}=\frac{21.20}{2}=210\)

a) \(\frac{1}{2}\times\frac{1}{3}+\frac{1}{3}\times\frac{1}{4}+\frac{1}{4}\times\frac{1}{5}+\frac{1}{5}\times\frac{1}{6}=\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}\)

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

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

b) \(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}=\frac{1}{4}\)

\(a)\frac{1}{2}\times\frac{1}{3}+\frac{1}{3}\times\frac{1}{4}+\frac{1}{4}\times\frac{1}{5}+\frac{1}{5}\times\frac{1}{6}\)

\(\Rightarrow\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}\)

\(\Rightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)

\(\Rightarrow\frac{1}{2}-\frac{1}{6}\)

\(\Rightarrow\frac{1}{3}\)

\(b)\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\)

\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\)

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

\(=\frac{1}{4}\)

\(b)\left(1-\frac{1}{2}\right)\div\left(1-\frac{1}{3}\right)\div\left(1-\frac{1}{4}\right)\)

\(=\frac{1}{2}\div\frac{2}{3}\div\frac{3}{4}\)

\(=\frac{1}{2}\times\frac{3}{2}\times\frac{4}{3}\)

\(=\frac{1\times3\times2\times2}{2\times2\times3}\)

\(=1\)