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25 tháng 8 2017

\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...-\frac{1}{50}\)

\(\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{50}\right)-2.\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{50}\right)\)

\(\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{50}\right)-\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{25}\right)\)

\(\frac{1}{26}+\frac{1}{27}+\frac{1}{28}+...+\frac{1}{50}\)

14 tháng 8 2020

a)2/3 + 5+3/7:2+4/49.(-7)+1/2.(-2)\(^4\)

= 2/3+5+3/14+-4/7+8

=(2/3+3/14+-4/7)+(5+8)

=13/42+13

=559/42

b)2+3/4.(-0,4)-1-3/5.2,75+(-1/2):4/11

=2+(-0,3) - 1 - 1,65 + (-11/8)

= -2,325

c)( 2 + 1/3 +3 +1/2 ) : ( -4 - 1/6 +3 +1/7 ) +7 +1/2

=35/6 : -43/42 + 7 + 1/2

= -245/43 +7 +1/2

= 155/86

d) 2/3+ -5/12

= 8/12 + -5/12

= 3/12 

e) -2/3 . -9/12 

\(\frac{-2.-9}{3.12}\)

= 18/36

=1/2

14 tháng 8 2020

f) -2/9 - 7/12

=\(\frac{-24}{108}\)-  \(\frac{14}{108}\)

\(\frac{-38}{108}\)

=\(\frac{-19}{54}\)

g) 2/3 : -4/9

\(\frac{2}{3}\)\(\frac{-9}{4}\)

= -3/2

h) 4 . ( -1/3)\(^3\)- 2 . ( -1/2)\(^2\)+3 .( 1/2 ) +1

=- 4 . 1/27 - 2 . 1/4 + 3 .1/2 +1 

= -4/27 - 1/2 + 3/2 + 1

= 50 / 27

k ) ( 4 - 5/12 ) : 2 +5/24

= 43/12 : 2 +5/24

= 43/24 + 5/24

= 48/24

= 2

a: \(=\dfrac{-1}{4}+\dfrac{7}{33}-\dfrac{5}{3}-\dfrac{5}{4}-\dfrac{6}{11}+\dfrac{48}{49}\)

\(=\dfrac{-3}{2}+\dfrac{7}{33}-\dfrac{18}{33}-\dfrac{5}{3}+\dfrac{48}{49}\)

\(=\dfrac{-9-10}{6}+\dfrac{-11}{33}+\dfrac{48}{49}\)

\(=\dfrac{-19}{6}+\dfrac{-1}{3}+\dfrac{48}{49}=-\dfrac{247}{98}\)

b: \(=\dfrac{11}{125}-\dfrac{17}{18}+\dfrac{4}{9}-\dfrac{5}{7}+\dfrac{17}{14}\)

\(=\dfrac{11}{125}+\dfrac{-17+8}{9}+\dfrac{-10+17}{14}\)

\(=\dfrac{11}{125}-1+\dfrac{7}{14}=\dfrac{11}{125}+\dfrac{1}{2}=\dfrac{22+125}{250}=\dfrac{147}{250}\)

 

\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{47}-\frac{1}{48}+\frac{1}{49}-\frac{1}{50}=\left(1+\frac{1}{3}+\frac{1}{5}+...+\frac{1}{49}\right)-\left(\frac{1}{2}+\frac{1}{4}+...+\frac{1}{50}\right)\)

\(=\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{50}\right)-2\left(\frac{1}{2}+\frac{1}{4}+...+\frac{1}{50}\right)=\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{50}\right)-\left(1+\frac{1}{2}+....+\frac{1}{25}\right)\)\(=\frac{1}{26}+...+\frac{1}{50}\)

25 tháng 4 2023

a\()\) 16/9 +3/5

=107/45

b\()\) 4/13--2/17

=51/221--26/221

=77/221

c\()\) -3/2+4/5

=-15/10+8/10

=-7/10

d\()\) 3/-4-1/4

=-1

e\()\) -1/5.5/7

=-1/7

f\()\) 7/8.64/49

=8/7

g\()\) 3/4.15/24

=15/32