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

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