Question

Tính:(1/2-1)(1/3-1)(1/4-1)...1/100

giải giúp mk vs mk cần gấp

Answer 1

Sửa đề

\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right)\left(\frac{1}{4}-1\right)....\left(\frac{1}{100}-1\right)\)

\(=\)\(\left(-\frac{1}{2}\right).\left(-\frac{2}{3}\right).\left(-\frac{3}{4}\right)...\left(-\frac{99}{100}\right)\)  ( 99 phân số )

\(=\)\(\frac{\left(-1\right)\left(-2\right)\left(-3\right)...\left(-99\right)}{2.3.4...100}\)

\(=\)\(-\frac{1}{100}\)

Answer 2

\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right)\left(\frac{1}{4}-1\right)...\left(\frac{1}{100}-1\right)\)

\(=-\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{98}{99}.\frac{99}{100}\)

\(=-\frac{1}{100}\)