Question

4/3x9/8x16/15x...x3481/3480

Answer 1

\(\frac{4}{3}.\frac{9}{8}.\frac{16}{15}.....\frac{3481}{3480}\)

\(=\frac{2^2}{1.3}.\frac{3^2}{2.4}.\frac{4^2}{3.5}....\frac{59^2}{58.60}\)

\(=\frac{2.3.4.....59}{1.2.3.....58}.\frac{2.3.4....59}{3.4.5....60}\)

\(=59.\frac{2}{60}=\frac{59}{30}\)

Answer 2

Ta có : \(\frac{4}{3}.\frac{9}{8}.\frac{16}{15}.......\frac{3481}{3480}\)

\(=\frac{2.2}{1.3}.\frac{3.3}{2.4}.\frac{4.4}{3.5}........\frac{59.59}{58.60}\)

\(=\frac{2.3.4........59}{1.2.3.......58}.\frac{2.3.4.......59}{3.4.5........60}\)

\(=59.\frac{1}{30}=\frac{59}{30}\)