\(a,=\frac{7-1}{1.3.7}+\frac{9-3}{3.7.9}+\frac{13-7}{7.9.13}+\frac{15-9}{9.13.15}\)\(+\frac{19-13}{13.15.19}\)

\(=\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+\frac{1}{7.9}-\frac{1}{9.13}+\frac{1}{9.13}-\frac{1}{13.15}+\frac{1}{13.15}-\frac{1}{15.19}\)

\(=\frac{1}{1.3}-\frac{1}{15.19}=\frac{95}{285}-\frac{1}{285}=\frac{94}{285}\)

\(b,=\frac{1}{6}.\left(\frac{6}{1.3.7}+\frac{6}{3.7.9}+\frac{6}{7.9.13}+\frac{6}{9.13.15}+\frac{6}{13.15.19}\right)\)

làm giống như trên

\(c,=\frac{1}{8}.\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{48.49.50}\right)\)

\(=\frac{1}{16}.\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+\frac{2}{3.4.5}+...+\frac{2}{48.49.50}\right)\)

\(=\frac{1}{16}.\left(\frac{3-1}{1.2.3}+\frac{4-2}{2.3.4}+\frac{5-3}{3.4.5}+...+\frac{50-48}{48.49.50}\right)\)

\(=\frac{1}{16}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+...+\frac{1}{48.49}-\frac{1}{49.50}\right)\)

\(=\frac{1}{16}.\left(\frac{1}{2}-\frac{1}{2450}\right)=\frac{1}{16}.\left(\frac{1225}{2450}-\frac{1}{2450}\right)=\frac{153}{4900}\)

\(d,=\frac{5}{7}.\left(\frac{7}{1.5.8}+\frac{7}{5.8.12}+\frac{7}{8.12.15}+...+\frac{7}{33.36.40}\right)\)

\(=\frac{5}{7}.\left(\frac{8-1}{1.5.8}+\frac{12-5}{5.8.12}+\frac{15-8}{8.12.15}+...+\frac{40-33}{33.36.40}\right)\)

\(=\frac{5}{7}.\left(\frac{1}{1.5}-\frac{1}{5.8}+\frac{1}{5.8}-\frac{1}{8.12}+\frac{1}{8.12}-\frac{1}{12.15}+...+\frac{1}{33.36}-\frac{1}{36.40}\right)\)

\(=\frac{5}{7}.\left(\frac{1}{5}-\frac{1}{1440}\right)=\frac{5}{7}.\left(\frac{288}{1440}-\frac{1}{1440}\right)=\frac{41}{288}\)

P/S: . là nhân nha

sxasxsxxsxsxssxsxsxsxsx232332321322

BÀI 1:

a)    \(\frac{4}{5}+\frac{3}{8}+\frac{1}{4}\)

\(=\frac{32}{40}+\frac{15}{40}+\frac{10}{40}\)

\(=\frac{32+15+10}{40}\)\(=\frac{57}{40}\)

b)    \(\frac{5}{9}+\frac{2}{3}+\frac{1}{2}\)

\(=\frac{10}{18}+\frac{12}{18}+\frac{9}{18}\)

\(=\frac{10+12+9}{18}=\frac{31}{18}\)

bài 23,, 5 nữa

a) \(\left(5x+3^4\right).6^8=6^9.3^4\)

\(=>6x+3^4=3^4.6^9:6^8\)

\(=>6x+3^4=3^4.6\)

\(=>6x=6.3^4-3^4\)

\(=>6x=0\)

\(=>x=0:6\)

\(=>x=0\)

a/(5x + 3⁴).6⁸=6⁹.3⁴

   (5x + 3⁴) = 6⁹:6⁸.3⁴

   5x + 81 = 6.81

   5x = 6.81 - 81

   5x = 486 - 81

   5x = 425

   x = 425:5

   x = 85

b/92 - 2x = 2.4²- 3.4 + 120:15
   92 - 2x = 2.16 - 12 + 8

   92 - 2x = 32 - 12 + 8

   92 - 2x = 28

   2x = 92 - 28

   2x = 64

   x = 64:2

   x = 32

c/5³.(3x + 2) : 13 = 10³: (13⁵:13⁴)

  125.(3x + 2) : 13 = 1000:13 

  125.(3x+2) = 1000:13.13

  125.(3x+2) = 1000

   3x + 2 = 1000:125

   3x + 2 = 8

   3x = 8 - 2

   3x = 6

   x = 6:3

   x = 2

Bạn nhớ tick cho mình nhé!

a) \(\frac{3}{8}+\frac{7}{12}+\frac{10}{16}+\frac{10}{24}\)

= \(\frac{3}{8}+\frac{7}{12}+\frac{5}{8}+\frac{5}{12}\)

=\(\left(\frac{3}{8}+\frac{5}{8}\right)+\left(\frac{7}{12}+\frac{5}{12}\right)\)

= \(\frac{8}{8}+\frac{12}{12}\)

= \(1+1\)

=\(2\)

b) \(\frac{4}{6}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{14}{6}\)

= \(\frac{2}{3}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{7}{3}\)

= \(\left(\frac{2}{3}+\frac{7}{3}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)+\left(\frac{17}{9}+\frac{1}{9}\right)\)

= \(\frac{9}{3}+\frac{26}{13}+\frac{18}{9}\)

= \(3+2+2\)

= \(7\)

Chúc bạn học tốt

Tính nhanh:

a, 3/8 + 7/12 + 10/16 + 10/24

= (3/8 + 10/16) + (7/12 + 10/24)

= (6/16 + 10/16) + (14/24 + 10/24)

= 16/16 + 24/24

= 1 + 1 = 2.

b, 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.

bạn ơi bằng 476 phần 429

476 phần 429 nha ^_^

k mình nha -_-       >_<      ^_^

a,\(\frac{37.13-13}{24+37.12}=\frac{36.13}{39.12}=1\)

b,125.7.16.25.4=(125.16).(25.4).7=2000.100.7=1400000

c,8.9.14+6.17.12+19.4.18=2^3.3^2.2.7+2.3.17.2^2.3+19.2^2.3^2.2=2^3.3^2.(2.7+17+19)=72.50=3600

Cau 1 : 250 x 15 + 250 x 50 + 250 x 35                          Cau 2 : 248 x 154 - 248 x 54

= 250 x ( 15 + 50 +35 )                                                    = 248 x ( 154 - 54 )

= 250 x 100                                                                      = 248 x 100

= 25000                                                                            = 24800.

Hoc tot nhe ban !

250 x 15 +250 x 50 +250 x 35 = 25000 ,    248 x 154 - 248 x 54 = 24800      

a, (x + 2) + (x + 4) + (x + 6) + ... + (x + 50) = 750

=> x + 2 + x + 4 + x + 6 + ... + x + 50 = 750

=> (x + x + x + ... + x) + (2 + 4 + 6 + ... + 50) = 750

=> 25x + (50 + 2).25 : 2 = 750

=> 25x + 52.25 : 2 = 750

=> 25x + 650 = 750

=> 25x = 100

=> x = 4

a) ( x+x+...+x)+(2+4+6+...+50)= 750

     ( x*25)+ (50+2)*25:2 = 750

      (x*25)+ 650              = 750

         x* 25                      = 750 - 650 = 100

         x                             = 100 :25 = 4

a, ( -4 ).125.( -25 ).( -8 ).( -6 )

= [ ( -4 ).( -25 ) ].[ 125.( -8 ) ].( -6 )

= 100.( -1000 ).( -6 )

= ( -100 000).( -6 )

= 600 000

b, ( -2 ).12.( -50 )

= [ ( -2 ).( -50 ) ].12

= 100.12 = 1200

c, ( -25 ).( - 26 ).( - 4 )

= [ ( -25 ).( -4 ) ].( - 26 )

= 100.( -26 ) = -2600

a) (-4) . 125 . (-25) . (-8) . (-6)

= (-4). (-25) . 125 . (-8) - (-6)

= 100 . (-1000) . (-6)

= -100000 . (-6)

=600000