\(\dfrac{2}{3}+\dfrac{7}{13}-\dfrac{17}{9}+\dfrac{19}{13}-\dfrac{1}{9}+\dfrac{7}{3}\)

\(=\left(\dfrac{2}{3}+\dfrac{7}{3}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)-\left(\dfrac{17}{9}+\dfrac{1}{9}\right)\)

\(=\dfrac{9}{3}+\dfrac{26}{13}-\dfrac{18}{9}\)

\(=3+2-2\)

\(=3\)

 36-4x9 = 36 - 36 = 0 Vì số nào nhân với 0 thì cũng bằng 0 nên phép tính đó bằng 0

19/37+1-19/37

=(19/37-19/37)+1

=0+1

=1

9/8-(17/7-3/7)+7/8

=(9/8+7/8)-(17/7-3/7)

=2-2

=0

1/2+3/4+1/2

=(1/2+1/2)+3/4

=1+3/4

=7/4

19/37 + 1 - 19/37 = (19/37 - 19/37) + 1 = 1

9/8 - (17/7 - 3/7) + 7/8 = (9/8 + 7/8) - (17/7 - 3/7) = 16/8 - 14/7 = 2 - 2 = 0

1/2 + 3/4 + 1/2 = (1/2 + 1/2) + 3/4 = 1 + 3/4 = 7/4

a, 19/37+1-19/37

= (19/37-19/37)+1

=1

b, 9/8- (17/7-3/7)+7/8

= (9/8+7/8) - (17/7-3/7)

=16/8 - 14/7

= 2 - 2

=0

c, 1/2+3/4+1/2

= (1/2+1/2)+3/4

=1+3/4

=7/4

7/19x(1/3+2/3)

=7/19x1

=7/19

NHỚ K CHO MÌNH NẾU ĐÚNG NHÉ

= 7/19x(1/3+2/3)

= 7/19x1

= 7/19

:)))))))

`4/6+7/13+17/9+19/13+1/9+14/6`

`=(4/6+14/6)+(7/13+19/13)+(17/9+1/9)`

`=18/6+26/13+18/9`

`=3+2+2`

`=7`

1) \(=\left(\frac{3}{5}+\frac{2}{5}\right).\frac{6}{11}\)

\(=1.\frac{6}{11}\)

\(=\frac{6}{11}\)

2)\(\frac{17}{25}.\left(\frac{11}{19}+\frac{6}{19}+\frac{2}{19}\right)\)

\(=\frac{17}{25}.1\)

\(=\frac{17}{25}\)

2.\(\frac{17}{25}.\frac{11}{19}+\frac{17}{25}.\frac{6}{19}+\frac{17}{25}.\frac{2}{19}=\frac{17}{25}\left(\frac{11}{19}+\frac{6}{19}+\frac{2}{19}\right)\\ =\frac{17}{25}.1\\ =\frac{17}{25}\)

\(a,\dfrac{13}{19}+\dfrac{18}{19}+\dfrac{17}{19}=\dfrac{13+18+17}{19}=\dfrac{48}{19}\\ b,\dfrac{3}{5}+\dfrac{3}{16}+\dfrac{13}{16}=\dfrac{3}{5}+\left(\dfrac{3}{16}+\dfrac{13}{16}\right)=\dfrac{3}{5}+\dfrac{16}{16}=\dfrac{3}{5}+1=\dfrac{3}{5}+\dfrac{5}{5}=\dfrac{8}{5}\)

\(a\dfrac{13+18+17}{19}=\dfrac{48}{19}\)

\(b\dfrac{3}{5}+\dfrac{3+13}{16}=\dfrac{3}{5}+1=\dfrac{3}{5}+\dfrac{5}{5}=\dfrac{8}{5}\)

a) 13/19 + 18/19 + 17/19

= (13/19 + 17/19) + 18/19

= 30/19 + 18/19

= 48/19

b) 3/5 + 3/16 + 13/16

= 3/5 + (3/16 + 13/16)

= 3/5 + 1

8/5

A=(1+10)+(2+9)+(3+8)+...+(5+6)

A=11.5=55

B=(1+19)+(3+17)+...+(9+11)

B=20.5=100

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

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

=55

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 : \(1+2+3+...+19+20\)

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