Question

1/2-1/3-1/4-1/5-1/6/17-1/8-1/9=?

Answer 1

\(\frac{1}{2}-\frac{1}{3}-\frac{1}{4}-\frac{1}{5}-\frac{1}{6}-\frac{1}{7}-\frac{1}{8}-\frac{1}{9}\)

\(=\frac{1}{6}-\frac{1}{4}-\frac{1}{5}-\frac{1}{6}-\frac{1}{7}-\frac{1}{8}-\frac{1}{9}\)

\(=-\frac{1}{12}-\frac{1}{5}-\frac{1}{6}-\frac{1}{7}-\frac{1}{8}-\frac{1}{9}\)

\(=-\frac{17}{60}-\frac{1}{6}-\frac{1}{7}-\frac{1}{8}-\frac{1}{9}\)

\(=-\frac{9}{20}-\frac{1}{7}-\frac{1}{8}-\frac{1}{9}\)

\(=-\frac{83}{140}-\frac{1}{8}-\frac{1}{9}\)

\(=-\frac{201}{280}-\frac{1}{9}\)

\(=-\frac{2089}{2520}\)