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

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

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

\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)

\(\Rightarrow A=\frac{1}{2}-\frac{1}{8}\)

\(\Rightarrow A=\frac{3}{8}\)

\(A=\left(\frac{1}{2}-\frac{1}{3}\right)+\left(\frac{1}{3}-\frac{1}{4}\right)+...+\left(\frac{1}{7}-\frac{1}{8}\right)\)

\(A=\frac{1}{2}-\frac{1}{8}\)

\(A=\frac{3}{8}\)

\(A=\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}\)

\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)

\(A=\frac{1}{2}-\frac{1}{8}\)

\(A=\frac{3}{8}\)

a)1/3+1/4+2/3+3/4

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

=1+1

=2.

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

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

=1-1/5

=4/5

c)2/3x4/5+1/3x4/5

=4/5x(2/3+1/3)

=4/5x1

=4/5

d)2/3x4/5-1/3x4/5

=4/5x(2/3-1/3)

=4/5x1/3

=4/15

cccccccccllllllllllllllllll

A=1/1*2+1/2*3+...+1/9*10

=1-1/2+1/2-1/3+...+1/9-1/10

=(1-1/10)+(1/2-1/2)+...+(1/9-1/9)

=(10/10-1/10)+0+...+0=9/10

\(A=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{9.10}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}=1-\frac{1}{10}=\frac{9}{10}\)

1.a 

1/2+1/4+1/8+1/16+1/32

= 1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32

= 1-1/32=31/32

1b

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

\(=\frac{1}{4}+\frac{1}{6}+\frac{2}{3}+\frac{1}{4}+\frac{1}{20}+\frac{1}{30}\)

\(=\frac{5}{20}+\frac{5}{30}+\frac{20}{30}+\frac{5}{20}+\frac{1}{20}+\frac{1}{30}\)

\(=\left(\frac{5}{20}+\frac{5}{20}+\frac{1}{20}\right)+\left(\frac{5}{30}+\frac{20}{30}+\frac{1}{30}\right)\)

\(=\frac{11}{20}+\frac{26}{30}\)

\(=\frac{11}{20}+\frac{13}{15}\)

\(=\frac{17}{12}\)

Đó là các cách bạn Võ Thạch Tín đã nêu ra nên mình ko còn câu trả lời nào hết

1. \(11\frac{2}{9}+8\frac{3}{5}+8\frac{7}{9}+1\frac{2}{5}\)

\(=\frac{101}{9}+\frac{43}{5}+\frac{79}{9}+\frac{7}{5}\)

\(=\left(\frac{101}{9}+\frac{79}{9}\right)+\left(\frac{43}{5}+\frac{7}{5}\right)\)

\(=20+10\)

\(=30\)

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

\(=\frac{14}{3}+\frac{11}{2}+\frac{1}{3}+\frac{9}{2}\)

\(=\left(\frac{14}{3}+\frac{1}{3}\right)+\left(\frac{11}{2}+\frac{9}{2}\right)\)

\(=5+10\)

\(=15\)

Phần c bạn làm tương tự .

2. Đổi : \(2\frac{3}{4}m=\frac{11}{4}m=275m;1\frac{1}{2}m=\frac{3}{2}m=150m\)

Chiều rộng hình chữ nhật đó là :

 275 - 150 = 125 ( m )

Chu vi hình chữ nhật đó là :

 ( 275 + 125 ) x 2 = 800 ( m ) 

Diện tích hình chữ nhật đó là :

 275 x 125 = 34 375 ( m² )

                 Đ/S : ...

bài 1:

a,11 2/9 + 8 7/9 + 1 2/5

=(11 2/9 + 8 7/9) + (8 3/5 + 1 2/5)

=20 + 10

=30.

b,4 2/3 + 5 1/2 + 1/3 + 4 1/2

=(4 2/3 + 1/3)+(5 1/2 + 4 1/2)

=5 + 10

=15.

c,19 2/7 + 5 3/4 + 4 1/4 - 9 2/7

=(19 2/7 - 9 2/7) + (5 3/4 + 4 1/4)

=10 + 10

=20.

bài 2:

2 3/4m = 275m

1 1/2m = 150m

Chiều rộng hình chữ nhật là:

275 - 150 = 125 (m)

Chu vi hình chữ nhật là:

(275+125)*2=800(m)

Diện tích hình chữ nhật là:

125 * 275 = 34375 (m)

Đáp số: 34375 m.

a)1 /3 +1/4+2/3+3/4=\(\frac{1}{3}\)+\(\frac{2}{3}\)+\(\frac{1}{4}\)+\(\frac{3}{4}\)=1+1=2

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

a,1/3+1/4+2/3+3/4   

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

=      1      +      1

=              2

nha, còn phàn b mình chưa biết

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

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

=1+1

=2