Question

(\(1-\frac{1}{3}\)) x (\(1-\frac{1}{4}\)) x (\(1-\frac{1}{5}\)) x (\(1-\frac{1}{6}\)) x (\(1-\frac{1}{7}\)) x (\(1-\frac{1}{8}\)) \(-\frac{1}{4}\)\(x\frac{1}{2}\)

\(x\)là nhân nhé

lm hộ pls

Answer 1

\(\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)\times\left(1-\frac{1}{6}\right)\times\left(1-\frac{1}{7}\right)\times\left(1-\frac{1}{8}\right)-\frac{1}{4}\times\frac{1}{2}\)

\(=\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\times\frac{6}{7}\times\frac{7}{8}-\frac{1}{4}\times\frac{1}{2}\)

\(=\frac{2}{8}-\frac{1}{4}\times\frac{1}{2}\)

\(=\frac{2}{8}-\frac{1}{8}=\frac{1}{8}\)