Question

so sanh : 2001/2004 va 39/40

so sanh : A = 1/6 + 1/7 + 1/8 + 1/9 + 1/10 voi B = 1 

Answer 1

\(A< \frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{5}{5}=1=B\)

Answer 2

a/

\(\frac{2001}{2004}=\frac{2004-3}{2004}=1-\frac{3}{2004}=1-\frac{1}{668}.\)

\(\frac{39}{40}=\frac{40-1}{40}=1-\frac{1}{40}\)

Ta có \(40< 668\Rightarrow\frac{1}{40}>\frac{1}{668}\Rightarrow1-\frac{1}{40}< 1-\frac{1}{668}\Rightarrow\frac{39}{40}< \frac{2001}{2004}\)

b/

\(A< \frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=1=B\)