ai trả lời nhanh cho 3 k
\(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.....\frac{624}{625}=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{24.26}{25.25}\)
\(\frac{1.2.3.4.....24}{2.3.4.5.....25}.\frac{3.4.5.....26}{2.3.4.5......25}=\frac{1}{25}.\frac{26}{2}=\frac{13}{25}\)
\(\frac{3}{4}.\frac{8}{7}...\frac{624}{625}\) Ta có: \(\frac{3}{4}.\frac{8}{7}=\frac{6}{7}=\frac{624}{728}\)
\(Vì\frac{624}{728}< \frac{624}{625}\Rightarrow\frac{3}{4}.\frac{8}{7}< \frac{624}{625}\)