a) \(\frac{13}{19}+\frac{18}{19}+\frac{19}{19}=\left(\frac{13}{19}+\frac{17}{19}\right)+\frac{18}{19}=\frac{20}{19}+\frac{18}{19}=\frac{48}{19}\)

b) \(\frac{3}{5}+\frac{3}{16}+\frac{13}{16}=\left(\frac{3}{16}+\frac{13}{16}\right)+\frac{3}{5}=1+\frac{3}{5}=\frac{5}{5}+\frac{3}{5}=\frac{8}{5}\)

a) \(\frac{13}{19}+\frac{18}{19}+\frac{17}{19}\)

= \(\frac{31}{19}+\frac{17}{19}\)

= \(\frac{48}{19}.\)

b) \(\frac{3}{5}+\frac{3}{16}+\frac{13}{16}\)

= \(\frac{3}{5}+\left(\frac{3}{16}+\frac{13}{16}\right)\)

= \(\frac{3}{5}+\frac{16}{16}\)

= \(\frac{3}{5}+1\)

= \(\frac{3}{5}.\)

Yêu cầu là gì bạn???

tính bằng cách thuận tiện nhất ạ 

13/19 x 23/11 - 13/19 x 8/11 - 13/19 x 4/11

= 13/19 x (23/11 - 8/11 - 4/11)

= 13/19 x 1

= 13/19

\(\dfrac{13}{19}\times\dfrac{23}{11}-\dfrac{13}{19}\times\dfrac{8}{11}-\dfrac{13}{19}\times\dfrac{4}{11}\\ =\dfrac{13}{19}\times\left(\dfrac{23}{11}-\dfrac{8}{11}-\dfrac{4}{11}\right)\\ =\dfrac{13}{19}\times1=\dfrac{13}{19}\)

(35+65)+(67+13+20)=100+100=200

để hiểu hơn mình có một ví dụ dành cho bạn

1+2+3+4+5+6+7+8+9=(1+9)+(3+7)+(4+6)+(8+2)+(5+5)=10x5=50

200                                                            k cho mình nhé

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

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

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

\(\frac{17}{25}\times\frac{13}{19}+\frac{17}{25}\times\frac{6}{19}\)

\(=\frac{17}{25}\times\left(\frac{13}{19}+\frac{6}{19}\right)\)

\(=\frac{17}{25}\times\frac{19}{19}\)

\(=\frac{17}{25}\times1\)

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

_HT_

\(\dfrac{17}{25}\left(\dfrac{13}{19}+\dfrac{6}{19}\right)\)

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

TL

= (13 + 17) + (19 + 21) + (15 + 23)

= 30 + 40 + 38 = 70 + 38 = 108 

HT

ko biết

\(\dfrac{3}{5}+\dfrac{6}{11}+\dfrac{7}{13}+\dfrac{2}{5}+\dfrac{16}{11}+\dfrac{19}{13}\\ =\left(\dfrac{3}{5}+\dfrac{2}{5}\right)+\left(\dfrac{6}{11}+\dfrac{16}{11}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)\\ =\dfrac{5}{5}+\dfrac{22}{11}+\dfrac{26}{13}\\ =1+2+2\\ =5\)

Bài 1 : 

a) Hai phân số có chung tử số thì ta so sánh mẫu nếu mẫu lớn hơn thì phân số đó bé hơn 

Áp dụng vào đó ta có : 71 < 72 => 15/71 > 15/72

b) Ta có : 21/42 = 1/2 = 23/46 

Áp dụng câu a ta có : 46 > 45 => 21/42 < 23/45

c) Ta có : 47/45 = 1 + 2/45   ;  48/46 = 1 + 2/46

Vì 2/45 > 2/46 => 47/45 > 48/46 

d) Ta có : 1 - 13/25 = 12/25

1/3 = 12/36

Vì 12/25 > 12/36 => 13/25 > 3/7

Bài 2 :

D = 1/2 + 1/6 + 1/12 + 1/20 + ... + 1/110

D = 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + .... + 1/10.11

D = 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + .... + 1/10 - 1/11

D = 1 - 1/11

D = 10/11

`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`