a: 14/5-7/5=7/5

b: 7/8-1/3+5/4

=21/24-8/24+30/24

=43/24

c; =7/6+5/6+2/15+13/15

=2+1

=3

d: =4*5/3*11=20/33

e: =2/9*1/6*1/4=2/9*1/24=1/108

2:
a: \(=\dfrac{3}{9}\cdot\dfrac{4}{4}\cdot\dfrac{5}{5}\cdot\dfrac{6}{6}\cdot\dfrac{7}{7}=\dfrac{1}{3}\)

b: \(=\dfrac{1}{6}\left(\dfrac{22}{3}-\dfrac{2}{3}\right)=\dfrac{10}{3}\cdot\dfrac{1}{6}=\dfrac{10}{18}=\dfrac{5}{9}\)

c; \(=\dfrac{1}{3}\left(9-\dfrac{2}{5}-\dfrac{3}{5}\right)=\dfrac{8}{3}\)

14/5-7/5=7/5 

7/8-1/3+5/4=13/24+5/4=43/24 

7/6+2/15+5/6+13/15=13/10+5/6+13/15=32/15+13/15=3

4/3*5/11=20/35

2/9:6*1/4=1/27*1/4=1/108

`3/7 xx 1/9 + 3/7 xx 8/9`

`= 3/7 xx (1/9 +8/9)`

`= 3/7 xx 9/9`

`= 3/7 xx 1`

`=3/7`

\(\dfrac{3}{7}\times\dfrac{1}{9}+\dfrac{3}{7}\times\dfrac{8}{9}\)

\(=\dfrac{3}{7}\times\left(\dfrac{1}{9}+\dfrac{8}{9}\right)\)

\(=\dfrac{3}{7}\times1\)

\(=\dfrac{3}{7}\)

`3/7xx1/9+3/7xx8/9`

`=3/7xx(1/9+8/9)`

`=3/7xx9/9`

`=3/7xx1`

`=3/7`

\(=\left(-\dfrac{3}{4}+\dfrac{3}{4}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)-\dfrac{1}{2}=1-\dfrac{1}{2}=\dfrac{1}{2}\)

\(\dfrac{3}{-4}+\dfrac{-3}{-4}+\dfrac{2}{5}+\dfrac{-1}{2}+\dfrac{3}{5}\\ =\left(\dfrac{-3}{4}+\dfrac{3}{4}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)-\dfrac{1}{2}\\ =0+1-\dfrac{1}{2}\\ =1-\dfrac{1}{2}\\ =\dfrac{1}{2}\)

=(-2)+(-2)+...+(-2)

=-2x11

=-22

12/13

=3/1.4  + 3/4.7 + 3/7.10 + 3/13.10

=1/1 - 1/4 + 1/4 + 1/7 + 1/7 + 1/10 + 1/10 -  1/13

=8+4/13

=12/13

= \(\dfrac{3}{1.4}+\dfrac{3}{4.7}+\dfrac{3}{7.10}+\dfrac{3}{10.13}\) 

= \(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{13}=1-\dfrac{1}{13}=\dfrac{12}{13}\)

7: =-1+8=7

6: \(=-\left(8\cdot125\right)\cdot\left(2\cdot5\right)\cdot\left(25\cdot4\right)=-1000000\)

5: =-50+19+143+79-25-48

=-75+98+95

=23+95

=118

4: =37x9+17x9-35x9-35x11

=18+153-385

=-214

3: =187-23-20+180

=367-43

=324

4: \(=37\cdot9+17\cdot9-35\cdot9-35\cdot11=19\cdot9-385\)

\(=171-385=-214\)

5: =-50+19+143+79-25-48

=-75+94+95

=20+94

=114

3 ; 324

4 ; -214

5 ; 118

6 ; - 1 000 000

7 ; 7

học tốt

\(\dfrac{3}{1\cdot3\cdot5}+\dfrac{3}{3\cdot5\cdot7}+\dfrac{3}{5\cdot7\cdot9}+\cdot\cdot\cdot+\dfrac{3}{37\cdot39\cdot41}\)

\(=\dfrac{3}{4}\left(\dfrac{4}{1\cdot3\cdot5}+\dfrac{4}{3\cdot5\cdot7}+\dfrac{4}{5\cdot7\cdot9}+\cdot\cdot\cdot+\dfrac{4}{37\cdot39\cdot41}\right)\)

\(=\dfrac{3}{4}\left(\dfrac{1}{1\cdot3}-\dfrac{1}{3\cdot5}+\dfrac{1}{3\cdot5}-\dfrac{1}{5\cdot7}+\dfrac{1}{5\cdot7}-\dfrac{1}{7\cdot9}+\cdot\cdot\cdot+\dfrac{1}{37\cdot39}-\dfrac{1}{39\cdot41}\right)\)

\(=\dfrac{3}{4}\left(\dfrac{1}{3}-\dfrac{1}{39\cdot41}\right)\)

\(=\dfrac{3}{4}\cdot\dfrac{532}{1599}=\dfrac{133}{533}\)

#Ayumu

(3/5+2/5)+(19/13+7/13)+(5/1+16/11)

1+2+5+16/11

8+16/11

TỰ TÍNH

=3/4(1+29+30+40)

=3/4*100

=75