Thực hiện phép tính: 3/4.8/9.15/16.....80/81.99/100
Thực hiện phép tính: \(\frac{3}{4}.\frac{8}{9}.\frac{{15}}{{16}}.....\frac{{80}}{{81}}.\frac{{99}}{{100}}\).
Lời giải:
\(\frac{3}{4}.\frac{8}{9}.\frac{{15}}{{16}}.....\frac{{80}}{{81}}.\frac{{99}}{{100}}\)
\( = \frac{3}{4}.\frac{{4.2}}{{3.3}}.\frac{{5.3}}{{4.4}}......\frac{{8.10}}{{9.9}}.\frac{{11.9}}{{10.10}}\)
\( = \frac{2}{4}.\frac{{11}}{{10}} = \frac{{11}}{{20}}\).