\(\frac{-67}{100}\)và \(\frac{-211}{360}\)MSC: 1800

Ta có:
\(\frac{-67}{100}=\frac{\left(-67\right).18}{100.18}=\frac{-1206}{1800}\)

\(\frac{-211}{360}=\frac{\left(-211\right).5}{360.5}=\frac{-1055}{1800}\)

Vì \(\frac{-1206}{1800}< \frac{-1055}{1800}\)nên \(\frac{-67}{100}< \frac{-211}{360}\)

ban dung roi

Ta có:

\(A=\frac{67^{2016}}{67^{2016}-11}=1+\frac{11}{67^{2016}-11}\)

\(B=\frac{67^{2016}+13}{67^{2016}+2}=1+\frac{11}{67^{2016}+2}\)

Vì \(67^{2016}-11< 67^{2016}+2\) nên \(\frac{11}{67^{2016}-11}>\frac{11}{67^{2016}+2}\Rightarrow1+\frac{11}{67^{2016}-11}>1+\frac{11}{67^{2016}+2}\)

Vậy A > B 

\(\frac{\frac{3}{67}.\left(17\frac{21}{56}-13\frac{21}{45}\right):\left(\frac{3}{5.22}+\frac{54}{44.65}+\frac{18}{65.72}\right)}{29^3:100-29^3:0,47}\)

\(=\frac{\frac{3}{67}\left(\frac{139}{8}-\frac{202}{15}\right):\left(\frac{3}{110}+\frac{54}{2860}+\frac{18}{4680}\right)}{29^3.\frac{1}{100}-29^3.\frac{47}{100}}\)

\(=\frac{\frac{3}{67}.\frac{469}{120}:\frac{1}{20}}{29^3\left(\frac{1}{100}-\frac{47}{100}\right)}\)

\(=\frac{\frac{7}{40}.20}{29^3.\left(-\frac{23}{50}\right)}\).

\(=\frac{\frac{7}{2}}{-11218,94}\)

\(=-\frac{175}{560947}\)

arigato gozaimasu

\(\left(\frac{1}{3}+\frac{12}{67}+\frac{13}{41}\right)-\frac{79}{67}+\frac{28}{41}\) \(=\frac{1}{3}+\frac{12}{67}+\frac{13}{41}-\frac{79}{67}+\frac{28}{41}=\frac{1}{3}+\left(\frac{12}{67}-\frac{79}{67}\right)+\left(\frac{13}{41}+\frac{28}{41}\right)\) \(=\frac{1}{3}+\left(-1\right)+1=\frac{1}{3}\)

Chúc bạn hc giỏi ,Trần Phúc Đông❣ღ!