3 2/3 chia (1/2) mu 3 nhan 3/4 cong 2022 mu 0
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\(\frac{-5}{8}+\frac{7}{2}+\frac{-23}{8}< \frac{-1}{3}+1+\frac{7}{3}\)
\(\Rightarrow0< x< \frac{-5}{3}\)
Vì \(x\in N\Rightarrow x=1\)
1/5 MŨ 2 X 1/4 + 1/20
= 1/25 X 1/4 +1/20
= 1/100 +1/20
= 3/50
\(\left(\frac{1}{5}\right)^2\cdot\frac{1}{4}+\frac{1}{20}=\frac{1}{25}\cdot\frac{1}{4}+\frac{1}{20}=\frac{1}{100}+\frac{5}{100}=\frac{6}{100}=\frac{3}{50}\)
\(\frac{57}{89}=\frac{89-32}{89}=1-\frac{32}{89}\)
\(\frac{31}{64}=\frac{64-33}{64}=1-\frac{33}{64}\)
Có \(\frac{32}{89}< \frac{33}{64}\)suy ra \(\frac{57}{89}>\frac{31}{64}\).
\(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{79.80}\)
\(=\)\(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{79}-\frac{1}{80}\)
\(=\frac{1}{4}-\frac{1}{80}\)
\(=\frac{20}{80}-\frac{1}{80}\)
\(=\frac{19}{80}\)
\(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{78.79}+\frac{1}{79.80}\)
\(=\frac{4-3}{3.4}+\frac{5-4}{4.5}+\frac{6-5}{5.6}+...+\frac{79-78}{78.79}+\frac{80-79}{79.80}\)
\(=\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{78}-\frac{1}{79}+\frac{1}{79}-\frac{1}{80}\)
\(=\frac{1}{3}-\frac{1}{80}=\frac{77}{240}\)
65 nha