tỉ số của a / b là (92 - 1/9 - 2/ 10 - 3/11 - ... - 92/100) trên 1/45 + 1/50 + ... + 1/500 :)) hay ngắn tắc hơn là A/B cho nhanh :)))))))))))))))

\(A=\left(1+1+...+1\right)-\left(\dfrac{1}{9}+\dfrac{2}{10}+...+\dfrac{92}{100}\right)\)𝓒𝓸́ 92 𝓼𝓸̂́ 1

\(A=\left(1-\dfrac{1}{9}\right)+\left(1-\dfrac{2}{10}\right)+...+\left(1-\dfrac{92}{100}\right)\)

\(A=\dfrac{8}{9}+\dfrac{8}{10}+...+\dfrac{8}{100}\)

\(A=8.\left(\dfrac{1}{9}+\dfrac{1}{10}+...+\dfrac{1}{100}\right)\)

\(B=\dfrac{1}{45}+\dfrac{1}{50}+...+\dfrac{1}{500}\)

\(B=\dfrac{1}{5}.\left(\dfrac{1}{9}+\dfrac{1}{10}+...+\dfrac{1}{100}\right)\)

\(\Rightarrow\dfrac{A}{B}=\dfrac{8.\left(\dfrac{1}{9}+\dfrac{1}{10}+...+\dfrac{1}{100}\right)}{\dfrac{1}{5}.\left(\dfrac{1}{9}+\dfrac{1}{10}+...+\dfrac{1}{100}\right)}\\ \Rightarrow\dfrac{A}{B}=\dfrac{8}{\dfrac{1}{5}}=40\)

𝓥𝓪̣̂𝔂 𝓽𝓲̉ 𝓼𝓸̂́ 𝓬𝓾̉𝓪 𝓐 𝓿𝓪̀ 𝓑 𝓵𝓪̀ 40

 tính :

(92 -1/9 -2/10 -3/11 -..... -92/100 ) :(1/45 +1/50 +1/55 +..... +1/500)

100 - 100 + 666 - 555 + 111 - 111 + 111 - 222

= 0 + 666 - 555 + 111 - 111 + 111 - 222

= 666 - 555 + 111 - 111 + 111 - 222

= 111 + 111 - 111 + 111 - 222

= 222 - 111 + 111 - 222

= 111 + 111 - 222

= 222 - 222

= 0

Chuc ban hoc tot

Tính B= M/N với
M= 92- 1/9 - 2/10 - 3/11 - ...........90/98 - 91/99 - 92/100
N= 1/45 + 1/50 + 1/55 + ............1/145 + 1/500

Giải:
M=9/9+10/10+11/11+....+ 100/100 - 1/9 - 2/9 - 3/9 -.....90/98 - 91/99 - 92/100
= ( 9/9 - 1/9) + (10/10 - 2/10) + .......+ (100/100 - 92/100) = 8/9 + 8/10+ 8/11+....+ 8/100 = 8 ( 1/9+1/10 +...+ 1/100). Đặt 8 ra ngoài
N=1/5( 1/9+1/10+...+ 1/100). Đặt 1/5 ra ngoài
Suy ra :
B=M/N=8/1/5=40

chuan chua

nhớ tích nha

(92- 1/9 - 2/10 - 3/11 - .....- 92/100) : ( 1/45 + 1/50 + 1/55 + .....+ 1/ 500 )

= (1-1/9 + 1- 2/10 + 1- 3/11...+1 - 92/100) : 1/5 x (1/9 +1/10 + 1/11+...+1/100)

= ( 8/9 + 8/10 + 8/11 + 8/11...+ 8/100) : 1/5 x (1/9 +1/10 + 1/11+...+1/100)

= 8 x (1/9 +1/10 + 1/11+...+1/100) : 1/5 x (1/9 +1/10 + 1/11+...+1/100)

= 8 : 1/5

= 40