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11 tháng 8 2016

\(C=\frac{1}{100}-\frac{1}{100.99}-\frac{1}{99.98}-...-\frac{1}{3.2}-\frac{1}{2.1}\)

\(C=\frac{1}{100}-\left(\frac{1}{100.99}+\frac{1}{99.98}+...+\frac{1}{3.2}+\frac{1}{2.1}\right)\)

\(C=\frac{1}{100}-\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{98.99}+\frac{1}{99.100}\right)\)

\(C=\frac{1}{100}-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}\right)\)

\(C=\frac{1}{100}-\left(1-\frac{1}{100}\right)\)

\(C=\frac{1}{100}-\frac{99}{100}\)

\(C=\frac{-98}{100}=\frac{-49}{50}\)

3 tháng 5 2020

A=1/(4X5)+1/(5X6)+1/(6X7)+1/(7X8)+.....+1/(999X10)

A=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+......+1/999+1/9990-1/10

A=1/4-1/99.9X1/100

A=1/4-1/10

A=6/40

11 tháng 8 2016

A=\(\frac{1}{3}-\frac{3}{4}-\left(\frac{-3}{5}\right)+\frac{1}{72}-\frac{2}{9}-\frac{1}{36}+\frac{1}{15}\)

  =\(\frac{1}{3}-\frac{3}{4}+\frac{3}{5}+\frac{1}{72}-\frac{2}{9}-\frac{1}{36}+\frac{1}{15}\)

  =\(\left(\frac{1}{3}+\frac{3}{5}+\frac{1}{15}\right)-\left(\frac{3}{4}+\frac{2}{9}+\frac{1}{36}\right)+\frac{1}{72}\)

  =\(\left(\frac{14}{15}+\frac{1}{15}\right)-\left(\frac{35}{36}+\frac{1}{36}\right)+\frac{1}{72}\)

  =1 - 1 + \(\frac{1}{72}\)= 0 + \(\frac{1}{72}\)\(\frac{1}{72}\)

7 tháng 3 2018

Bài 1 :

36/1212 = 3/101

13/1313 = 1/101

3/101 + 1/101 = 4/101

Vậy 36/1212 + 13/1313 = 4/101.

Bài 2 :

A = 5/13 + 1/2 + -5/9 + -3/6 + 4/-9

A = 5/13 + 1/2 + -5/9 + -1/2 + -4/9

A = (1/2 + -1/2) + (-5/9 + -4/9) + 5/13

A = 0 + (-1) + 5/13

A = (-1) + 5/13 = -13/13 + 5/13 = 8/13.

Chúc bạn học giỏi nhé.

7 tháng 3 2018

1)4/101

2)-8/13

6 tháng 3 2016

\(A=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)

\(A=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\)

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

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

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

\(A=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)

\(A=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\)

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

\(A=\frac{1}{2}-\frac{1}{8}=\frac{3}{8}\)

mình nhé!

NM
25 tháng 1 2021

ta có 

tử số \(\frac{1}{19}+\frac{2}{18}+..+\frac{18}{2}+\frac{18}{1}=\frac{1}{19}+1+\frac{2}{18}+1+..+\frac{18}{2}+1\)

\(\frac{20}{19}+\frac{20}{18}+..+\frac{20}{2}=20\left(\frac{1}{19}+\frac{1}{18}+..+\frac{1}{2}\right)\)

Do đó ta có phân số trên bằng 20

29 tháng 7 2018

\(\frac{2}{5\cdot7}+\frac{5}{7\cdot12}+\frac{8}{12\cdot20}+\frac{3}{140}\)

\(=\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{12}+\frac{1}{12}-\frac{1}{20}+\frac{3}{140}\)

\(=\frac{1}{5}-\frac{1}{20}+\frac{3}{140}\)

\(=\frac{3}{20}+\frac{3}{140}=\frac{6}{35}\)

29 tháng 7 2018

\(\frac{2}{5.7}\)\(\frac{5}{7.12}\)\(\frac{8}{12.20}\)\(\frac{3}{140}\).

\(\frac{1}{5}\)\(\frac{1}{7}\)\(\frac{1}{7}\)\(\frac{1}{12}\)\(\frac{1}{12}\)\(\frac{1}{20}\)\(\frac{3}{140}\).

\(\frac{1}{5}\)\(\frac{1}{20}\)\(\frac{3}{140}\).

\(\frac{20}{100}\)\(\frac{5}{100}\)\(\frac{3}{140}\).

\(\frac{15}{100}\)\(\frac{3}{140}\).

\(\frac{3}{20}\)\(\frac{3}{140}\).

\(\frac{21}{140}\)\(\frac{3}{140}\).

\(\frac{24}{140}\).

\(\frac{6}{35}\).

13 tháng 1 2018

14,58 . 460 + 7,29 . 540 . 2

= 14,58 . 460 + 14,58 . 540

= 14,58 . ( 460 + 540 )

= 14,58 . 1000

= 14580

13 tháng 1 2018

A = 14,58 . 460 + (7,29. 2 ) . 540

   = 14,58 . 460 + 14,58 . 540

   = 14,58 . (460+540)

   = 14,58 . 1000 = 14580

Tk mk nha

A = 1/2 + 1/14 + 1/35 +1/65 + 1/104 + 1/152 => 1/2 A = 1/4 + 1/28 + 1/70 + ........+ 1/304 = 1/4x1 + 1/4x7 + 1/7x10 + ............ + 1/16x19 = 1/3 ( 3/1x4 + 3/4x7 + ...+ 3/16x19 ) = 1/3 ( 1 - 1/4 + 1/4 - 1/7 + .....+1/16 - 1/19 = 1/3 x ( 1 - 1/19 ) = 1/3 x 18/19 = 6/19 => A = 6/19 : 1/2 = 12/19 _ _

10 tháng 6 2016

C= 1/2 + 1/14 + 1/35+1/65+1/104+1/152 = 12/19 nhé bn