Question

Thực hiện phép tính 

2017^0+|3/5-1|:4/5-5/6

 

Answer 1

\(2017^0+\text{|}\frac{3}{5}-1\text{|}:\frac{4}{5}-\frac{5}{6}\)

\(=1+\text{|}\frac{3}{5}-\frac{5}{5}\text{|}:\frac{4}{5}-\frac{5}{6}\)

\(=1+\text{|}\frac{-2}{5}\text{|}:\frac{4}{5}-\frac{5}{6}\)

\(=1+\frac{2}{5}:\frac{4}{5}-\frac{5}{6}\)

\(=1+\frac{2}{5}.\frac{5}{4}-\frac{5}{6}\)

\(=1+\frac{1}{2}-\frac{5}{6}\)

\(=\frac{6}{6}+\frac{3}{6}-\frac{5}{6}\)

\(=\frac{4}{6}=\frac{2}{3}\)