1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6

= 1/1-1/6

=6/6-1/6

= 5/6

=5/6 nhé.

chúc Phạm Quốc Cường học tốt nhé

1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 -1/6

= 1/1 - 1/6

= 5/6 

\(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\)

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

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

Tính nhanh  : 

1/2*3  + 1/3*4 + 1/4*5 + 1/5*6 

= 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 

= 1/2 - 1/6 

= 6/12 - 2/12 

= 4/12 

= 1/3

\(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}\)

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

= \(\frac{1}{2}-\frac{1}{6}\)

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

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

\(=\dfrac{7}{3}+\dfrac{21}{5}+\dfrac{13}{3}\)

\(=\dfrac{1}{3}\left(7+13\right)+\dfrac{21}{5}\)

\(=\dfrac{20}{3}+\dfrac{21}{5}=\dfrac{100+63}{15}=\dfrac{163}{15}\)

b, \(5\dfrac{3}{4}-4\dfrac{1}{2}.3\dfrac{7}{8}\)

\(=\dfrac{23}{4}-\dfrac{9}{2}.\dfrac{31}{8}\)

\(=\dfrac{23}{4}-\dfrac{279}{16}=\dfrac{92-279}{16}=-\dfrac{187}{16}\)

c, \(1\dfrac{1}{2}.3\dfrac{2}{3}.4\dfrac{3}{4}\)

\(=\dfrac{3}{2}.\dfrac{11}{3}.\dfrac{19}{4}=\dfrac{209}{8}\)

d, \(6\dfrac{4}{5}:2\dfrac{3}{4}:1\dfrac{1}{2}\)

\(=\dfrac{34}{5}:\dfrac{11}{4}:\dfrac{3}{2}\)

\(=\left(\dfrac{34}{5}.\dfrac{4}{11}\right).\dfrac{2}{3}=\dfrac{136}{55}.\dfrac{2}{3}=\dfrac{272}{165}\)

(3-1/4+2/3)-(5+1/3-6/5)-(6-7/4+3/2)=-6/7/15

bằng -523/60

bằng -97/15 

= 29 x 30 x 31 / 3

Tk mk nha

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

= 10 + 10 + 10 +10 +10 + 10 + 10 + 10 + 10

= 10 x 9

= 90

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

=10+10+10+10+10

=50

A = 1*2+2*3+3*4+4*5+...+99*100 

=> 3A = 1.2.3 - 1.2.3 + 2.3.4 - 2.3.4 + ...... + 98.99.100 - 99.100.101

=> 3A = 99.100.101

=> A = 99.100.101 / 3 = 333300

S = 1 x 2 + 2 x 3 + ... + 99 x 100

3S = 1 x 2 x 3 + 2 x 3 x (4 - 1) + ..... + 99 x 100 x (101 - 98)

3S = 1 x 2 x 3 + 2 x 3 x 4 - 1 x 2 x 3 + .... + 99 x 100 x 101 - 98 x 99 x 100

3S = 99 x 100 x 101 = 999900

S = 999900 : 3 = 333300

A = 333300