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\(x+\frac{31}{10}=x+\frac{12}{10}+\frac{19}{10}=14,5+\frac{12}{10}\)
\(x+\frac{19}{10}=14,5\)
\(x+1,9=14,5\)
\(x=14,5-1,9=12,6\)
x+\(\frac{31}{10}\)=\(\frac{157}{10}\)
x=\(\frac{157}{10}-\frac{31}{10}\)
x=\(\frac{63}{5}\)


10 + 10 + 12 + 12 + 13 + 13 + 11
= 10 x 2 + 12 x 2 + 13 x 2 + 11
= 20 + 24 + 26 + 11
= 81
\(10+10+12+12+13+13+11\)
\(=10^2+12^2+13^2+11\)
\(=100+144+169+11\)
\(=424\)

Ta có : \(\frac{1}{31}>\frac{1}{40};\frac{1}{32}>\frac{1}{40};\frac{1}{33}>\frac{1}{40};...;\frac{1}{38}>\frac{1}{40};\frac{1}{39}>\frac{1}{40}\)
=> \(\frac{1}{31}+\frac{1}{32}+\frac{1}{33}+...+\frac{1}{39}>\frac{1}{40}+\frac{1}{40}+...+\frac{1}{40}=\frac{10}{40}=\frac{1}{4}\) (1)
\(\frac{1}{41}>\frac{1}{50};\frac{1}{42}>\frac{1}{50};\frac{1}{43}>\frac{1}{50};...;\frac{1}{48}>\frac{1}{50};\frac{1}{49}>\frac{1}{50}\)
=> \(\frac{1}{41}+\frac{1}{42}+\frac{1}{43}+...+\frac{1}{49}>\frac{1}{50}+\frac{1}{50}+...+\frac{1}{50}=\frac{10}{50}=\frac{1}{5}\) (2)
\(\frac{1}{51}>\frac{1}{60};\frac{1}{52}>\frac{1}{60};\frac{1}{53}>\frac{1}{60};...;\frac{1}{58}>\frac{1}{60};\frac{1}{59}>\frac{1}{60}\)
=> \(\frac{1}{51}+\frac{1}{52}+\frac{1}{53}+...+\frac{1}{59}>\frac{1}{60}+\frac{1}{60}+...+\frac{1}{60}=\frac{10}{60}=\frac{1}{6}\)(3)
Từ (1) , (2) và (3) => \(\frac{1}{31}+...+\frac{1}{39}+\frac{1}{40}+\frac{1}{41}+...+\frac{1}{49}+\frac{1}{50}+\frac{1}{51}+...+\frac{1}{59}+\frac{1}{60}>\frac{1}{4}+\frac{1}{5}+\frac{1}{6}\)
=> \(\frac{1}{31}+\frac{1}{32}+...+\frac{1}{60}>\frac{37}{60}>\frac{35}{60}=\frac{7}{12}\)
=> \(\frac{1}{31}+\frac{1}{32}+...+\frac{1}{60}>\frac{7}{12}\)
=> \(A>\frac{7}{12}\)
Hài lòng chưa má? -_-

\(x+\frac{31}{10}=14,5+\frac{12}{10}\)
\(x+\frac{31}{10}=\frac{29}{2}+\frac{12}{10}\)
\(x+\frac{31}{10}=\frac{157}{10}\)
\(x=\frac{157}{10}-\frac{31}{10}\)
\(x=\frac{63}{5}\)
Học tốt #
\(x+\frac{31}{10}=14,5+\frac{12}{10}\)
\(\Rightarrow x+\frac{31}{10}=\frac{157}{10}\)
\(\Rightarrow x=\frac{157}{10}-\frac{31}{10}\)
\(\Rightarrow x=\frac{63}{5}\)
Vậy \(x=\frac{63}{5}\)
_Chúc bạn học tốt_


a)\(\frac{27}{5}\text{x}\frac{91}{12}\text{x}\frac{125}{9}\text{x}\frac{96}{13}=\frac{27}{9}\text{x}\frac{91}{13}\text{x}\frac{125}{5}\text{x}\frac{96}{12}=3\text{x}7\text{x}25\text{x}8\)
Đến đây tự tính nha !
b)\(\frac{2539}{35}\text{x}\frac{7}{90}+\frac{561}{35}\text{x}\frac{7}{90}=\frac{7}{90}\text{x}\left(\frac{2539}{35}+\frac{561}{35}\right)=\frac{7}{90}\text{x}\frac{3100}{35}=\frac{3100}{90}\text{x}\frac{7}{35}=\frac{310}{9}\text{x}\frac{1}{5}=\frac{62}{9}\)
809 + (10 + 12) - 31 = 809 + 22 -31
= 831 - 31
= 800
809 + (10 + 12) - 31
= 809 + 22 - 31
= 831 - 31
= 800