Question

Tính bằng cáh thuân tiện nhất 

1- (\(1-\left(\frac{1}{2}x\frac{3}{5}+\frac{1}{5}x\frac{1}{2}+\frac{2}{10}x\frac{1}{2}+\frac{1}{2}\right)\)

Answer 1

1-(1-(1/2 × 3/5 + 1/5 × 1/2 + 2/10 × 1/2 +1/2)

=1-(1-(3/10 + 1/10 + 1/10 + 5/10)

=1-(1-(3+1+1+5/10)

=1-(1- 10/10)

=1-(1-1)

=1-0

=1

Answer 2

\(1-\left[1-\left(\frac{1}{2}\times\frac{3}{5}+\frac{1}{5}\times\frac{1}{2}+\frac{2}{10}\times\frac{1}{2}+\frac{1}{2}\right)\right]\)

\(=1-\left[1-\left\{\frac{1}{2}\times\left(\frac{3}{5}+\frac{1}{5}+\frac{2}{10}+\frac{1}{2}\right)\right\}\right]\)

\(=1-\left[1-\left\{\frac{1}{2}\times\left(\frac{6}{10}+\frac{2}{10}+\frac{2}{10}+\frac{5}{10}\right)\right\}\right]\)

\(=1-\left[1-\left\{\frac{1}{2}\times\left(\frac{6+2+2+5}{10}\right)\right\}\right]\)

\(=1-\left[1-\left\{\frac{1}{2}\times\frac{3}{2}\right\}\right]\)

\(=1-\left[1-\frac{3}{4}\right]\)

\(=1-\frac{1}{4}\)

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