tra loi nhanh ho mk voi

\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)

    = \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\)

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

      = \(1-\frac{1}{7}\)

      =   \(\frac{7}{7}-\frac{1}{7}\)

        = \(\frac{6}{7}\)

2) \(\frac{7}{4}-x.\frac{4}{3}=\frac{5}{19}\)

              \(x.\frac{4}{3}=\frac{7}{4}-\frac{5}{19}\)

         \(x.\frac{4}{3}=\frac{133}{76}-\frac{20}{76}\)

\(x.\frac{4}{3}=\frac{113}{76}\)

      \(x=\frac{113}{76}:\frac{4}{3}\)

      \(x=\frac{399}{304}\)

VẬY \(x=\frac{399}{304}\)

b) \(\left(x+\frac{3}{4}\right).\frac{5}{7}=\frac{10}{9}\)

      \(\left(x+\frac{3}{4}\right)=\frac{10}{9}:\frac{5}{7}\)

     \(x+\frac{3}{4}=\frac{14}{9}\)

              \(x=\frac{14}{9}-\frac{3}{4}\)

               \(x=\frac{29}{36}\)

Vậy \(x=\frac{29}{36}\)

c) \(x.\frac{1}{2}+\frac{3}{2}.x=\frac{4}{5}\)

\(x.\left(\frac{1}{2}+\frac{3}{2}\right)=\frac{4}{5}\)

\(x.2=\frac{4}{5}\)

     \(x=\frac{4}{5}:2\)

      \(x=\frac{2}{5}\)

Vậy \(x=\frac{2}{5}\)

Chúc bạn học tốt !!!

dung roi,cam on ban nhieu

\(\frac{4}{5}+\frac{3}{7}+\frac{3}{7}x\frac{1}{5}+\frac{17}{7}\)

\(=\frac{4}{5}+\frac{3}{7}+\frac{3}{35}+\frac{17}{7}\)

\(=\left(\frac{4}{5}+\frac{3}{35}\right)+\left(\frac{3}{7}+\frac{17}{7}\right)\)

\(=\frac{23}{35}+\frac{20}{17}\)

\(\frac{4}{5}×\frac{3}{7}+\frac{3}{7}×\frac{1}{5}+\frac{17}{7}\)

\(=\frac{3}{7}×\left(\frac{4}{5}+\frac{1}{5}\right)+\frac{17}{7}\)

\(=\frac{3}{7}×\frac{5}{5}+\frac{17}{7}\)

\(=\frac{3}{7}×1+\frac{17}{7}\)

\(=\frac{3}{7}+\frac{17}{7}\)

\(=\frac{3+17}{7}\)

\(=\frac{20}{7}\)

  \(\frac{4}{5}\times\frac{3}{7}+\frac{3}{7}\times\frac{1}{5}+\frac{17}{7}\)

\(=\frac{3}{7}\times\left(\frac{4}{5}+\frac{1}{5}\right)+\frac{17}{7}\)

\(=\frac{3}{7}\times1+\frac{17}{7}\)

\(=\frac{3}{7}+\frac{17}{7}\)

\(=\frac{20}{7}\)

tk mình nha!

Mình nhanh nhất nè!

KB nha mọi người.

\(\frac{10}{3}.x+\frac{67}{4}=\frac{53}{4}\)

\(\frac{10}{3}.x=\frac{53}{4}-\frac{67}{4}\)

\(\frac{10}{3}.x=-\frac{7}{2}\)

\(x=-\frac{7}{2}:\frac{10}{3}\)

\(x=-\frac{21}{20}\)

a) 5 : 3/4 - 4 4/5 : 3/4

= 5 . 4/3 - 24/5 . 4/3

= (5 - 24/5) . 4/3

= 1/5 × 4/3

= 4/15

b) -3/5 . 2/7 + (-3/7) . 3/5 + (-3/7)

= (-3/7) . (2/5 + 3/5 + 1)

= (-3/7) . 2

= -6/7

c) [(-4 2/7) . 7/11 + 7/11 . (5 1/3)] . 5 - 5 2/3

= (-30/7 . 7/11 + 7/11 . 16/3) . 5 - 17/3

= (-30/11 + 112/33) . 5 - 17/3

= 2/3 . 5 - 17/3

= 10/3 - 17/3

= -7/3

d) 5/39 . [(7 4/5) . (1 2/3) + (8 1/3) . (7 4/5)]

= 5/39 . (39/5 . 5/3 + 25/3 . 39/5)

= 5/39 . 39/5 . (5/3 + 25/3)

= 1 . 10

= 10

= 

\(B=8+\left(\dfrac{1}{5}\cdot5\right)^4=8+1=9\)

a , Theo thứ tự từ bé đến lớn : 1/12 , 2/3 , 3/4 , 5/6

b, Tính 

a, 3/ 4 + 2/3 + 5/12 = 9/12 + 8/12 + 5/12 = 11/6

b, 7/8 - 7/16 - 11/32 = 28/32 - 14/32 - 11/32 = 3/32

c, 3/5 x 2/7 x 5/6 = 3 x 2 x 5 / 5 x 7 x 6 = 3 x 2 x 5 / 5 x 7 x 3 x 2 = 1/7

d , 15/16 : 3/8 x 3/4 = 15/16 x 8/3 x 3/4 = 15 x 8 x 3 / 16 x 3 x4 = 3 x 5 x 8 x 3 / 8 x 2 x 3 x 4 = 15/8

a) 1/12; 2/3; 3/4; 5/6

b) 

a) 3/4 + 2/3 + 5/12 = 9/12 + 8/12 + 5/12 = 17/12 + 5/12 = 22/12 = 11/6

b) 7/8 - 7/16 - 11/32 = 28/32 - 14/32 - 11/32 = 14/32 - 11/32 = 3/32

c) 3/5 x 2/7 x 5/6 = 6/35 x 5/6 = 30/210 = 1/70

d) 15/16 : 3/8 x 3/4 = 15/16 x 8/3 x3/4 = 120/48 x 3/4 = 360/192 = 8/15

a , Theo thứ tự từ bé đến lớn : 1/12 , 2/3 , 3/4 , 5/6

b, Tính 

a, 3/ 4 + 2/3 + 5/12 = 9/12 + 8/12 + 5/12 = 11/6

b, 7/8 - 7/16 - 11/32 = 28/32 - 14/32 - 11/32 = 3/32

c, 3/5 x 2/7 x 5/6 = 3 x 2 x 5 / 5 x 7 x 6 = 3 x 2 x 5 / 5 x 7 x 3 x 2 = 1/7

d , 15/16 : 3/8 x 3/4 = 15/16 x 8/3 x 3/4 = 15 x 8 x 3 / 16 x 3 x4 = 3 x 5 x 8 x 3 / 8 x 2 x 3 x 4 = 15/8

Gợi ý: Nó trong VBT Toán Nâng Cao

bó tay !

bài 1) thực hiện phép tính

a) \(4^5-81:3^2=1024-9=1015\)

b) \(3^2.22-3^2.12=3^2.2\left(11-6\right)=18.5=90\)

c) \(2^3.15-\left[115-\left(12-5\right)\right]=120-\left(115-12+5\right)=120-115+12-5=12\)

d) \(3.3^2-19^{21}:19^{20}+2010^0=27-19+1=9\)

e)\(7^{25}:\left(7^{21}.46+7^{21}.3\right)=7^{25}:\left(7^{21}.49\right)=\frac{7^{21}.7^4}{7^{21}.49}=\frac{2401}{49}=49\)

bài 2)Tim x

a) 716 - (x - 143) = 695

<=> x - 143 = 716 - 695

<=> x - 143 = 21

<=> x = 21 + 143

<=> x = 164

vậy x = 164