ai nhanh nhất mình k cho

Bài 1:

\(A=\frac{1}{\left(1+2\right)}+\frac{1}{\left(1+2+3\right)}+\frac{1}{\left(1+2+3+4\right)}\)\(+\frac{1}{\left(1+2+3+4+5\right)}+...+\)\(\frac{1}{\left(1+2+3+...+10\right)}\)

\(A=\frac{1}{3}+\frac{1}{6}+....+\frac{1}{55}\)

\(A=2\left(\frac{1}{6}+\frac{1}{12}+....+\frac{1}{110}\right)\)

\(A=2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{10.11}\right)\)

\(A=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{10}-\frac{1}{11}\right)\)

\(A=2.\left(\frac{1}{2}-\frac{1}{11}\right)\)

\(A=\frac{9}{11}\)

Bài 2 :

2)  Tử số = 11 x 13 x 15 + 3 x 3 x 3 x 11 x 13 x 15 + 5 x 5 x 5 x 11 x 13 x 15 + 9 x 9 x 9 x 11 x 13 x 15

= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) x 11 x 13 x 15 = (1+27+125+ 729) x 11 x 13 x 15

Mẫu số =  11 x 13 x 17 + 3 x 3 x 3 x 13 x 15 x 19  + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17 lớn hơn 11 x 13 x 15 + 3 x 3 x 3 x 13 x 15 x 17 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17  

=  (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) 13 x 15 x  17 = (1+27+125+729) x 13 x 15 x 17 

\(\Rightarrow A< \frac{\left(1+27+125+729\right)\times11\times13\times15}{\left(1+27+125+729\right)\times13\times15\times17}\)

\(=\frac{11}{17}\)

\(=\frac{1111}{1717}=B\)

Vậy \(A=B\)

ta có : 1/5+1/15=1-1/15=14/15

vậy 1/5+1/15+1/45+1/135+1/405=1-1/405=404/405

404/405 NHỚ **** ĐÓ

\(\frac{121}{405}\)

1)\(A=\frac{1}{3}+\frac{1}{6}+...+\frac{1}{55}=2\left(\frac{1}{6}+\frac{1}{12}+...+\frac{1}{110}\right)=2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{10.11}\right)=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{10}-\frac{1}{11}\right)=2.\left(\frac{1}{2}-\frac{1}{11}\right)=\frac{9}{11}\)

2) Tử số = 11 x 13 x 15 + 3 x 3 x 3 x 11 x 13 x 15 + 5 x 5 x 5 x 11 x 13 x 15 + 9 x 9 x 9 x 11 x 13 x 15

= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) x 11 x 13 x 15 = (1+27+125+ 729) x 11 x 13 x 15

Mẫu số =  11 x 13 x 17 + 3 x 3 x 3 x 13 x 15 x 19  + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17 

lớn hơn 11 x 13 x 15 + 3 x 3 x 3 x 13 x 15 x 17 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17 

=  (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) 13 x 15 x  17 = (1+27+125+729) x 13 x 15 x 17

=> \(A

a)     5/30+15/90+25/150+35/210+45/270

       =1/6+1/6+1/6+1/6+1/6

       =1/6 x 5

       =5/6

b)     1/2+1/6+1/12+1/20+....+1/56

        =1/1x2+1/2x3+1/3x4+1/4x5+.....1/7x8

        =1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.......-1/7+1/7-1/8

        =1/1-1/8

         =7/8

c)     mình chịu

thank you bn nhìu nha

Trả lời

1)3425:15=228,333...

547:12=45,58333...

2)

a)48:12+5*37-23

=4+162

=166

b)

84:{45:[(135+45):3-7.8]+3}

=84:{45:[180:3-7.8]+3}

=84:{45:4+3}

=84:14,25

=5,8947...

1)

3425 : 15 = 228 (dư 5)

547 : 12 = 45 ( dư 7)

2) Tính

a) 48 : 12 + 5 x 37 - 23

= 4 + 185 - 23

= 189 - 23

= 166

b) 84 : {45:[(135 + 45) : 3 - 7 x 8] + 3}

= 84 : {45 : [180 : 3 - 7 x 8] + 3}

= 84 : {45 : [60 - 56] +3}

= 84 : {45 : 4 + 3}

= 84 : {11,25 + 3}

= 84 : 14,25

= \(\frac{112}{19}\) 

\(\frac{4}{3}+\frac{x}{3}\text{ × }7=6\)

\(\frac{x}{3}\text{ × }7=6-\frac{4}{3}\)

\(\frac{x}{3}=\frac{14}{3}:7\)

\(\frac{x}{3}=\frac{2}{3}\)

\(\Leftrightarrow x=2\)

Các phần còn lại bạn làm tương tự nha 

x-5/5=135/45

x-5/5=15/5

=>x-5=15

x=15+5

x=20

\(\frac{1}{3}+\frac{3}{7}+\frac{5}{3}+\frac{8}{14}\)

\(=\left(\frac{1}{3}+\frac{5}{3}\right)+\left(\frac{3}{7}+\frac{8}{14}\right)\)

\(=\frac{6}{3}+\left(\frac{6}{14}+\frac{8}{14}\right)\)

\(=2+\frac{14}{14}\)

\(=2+1\)

\(=3\)

\(\frac{5}{6}+\frac{4}{15}+\frac{6}{18}+\frac{3}{45}\)

\(=\left(\frac{5}{6}+\frac{6}{18}\right)+\left(\frac{4}{15}+\frac{3}{45}\right)\)

\(=\left(\frac{5}{6}+\frac{2}{6}\right)+\left(\frac{4}{15}+\frac{1}{15}\right)\)

\(=\frac{7}{6}+\frac{5}{15}\)

\(=\frac{7}{6}+\frac{1}{3}\)

\(=\frac{7}{6}+\frac{2}{6}\)

\(=\frac{9}{6}\)

\(=\frac{3}{2}\)

~ Ủng hộ nhé 

\(9\times17+83\times9\)

\(=\left(83+17\right)\times9\)

\(=100\times9\)

\(=900\)

\(4\frac{1}{7}+7+8\frac{6}{7}\)

\(=\left(4\frac{1}{7}+8\frac{6}{7}\right)+7\)

\(=\left(8+4\right)+\left(\frac{1}{7}+\frac{6}{7}\right)+7\)

\(=12+\frac{7}{7}+7\)

\(=12+1+7\)

\(=20\)

~ Ủng hộ nhé