(1,0 điểm) Thực hiện phép tính: a) 27 1 5 . 3 8 − 3 1 5 : 8 3 . b) ( 1 − 1 2 ) 2 + ∣ ∣ − 3 5 ∣ ∣ . √ 1 16 − ( − 2 5 ) : 2 2 .

a) \(27\frac{1}{5}.\frac{3}{8} - 3\frac{1}{5}:\frac{8}{3}\)

\( = 27\frac{1}{5}.\frac{3}{8} - 3\frac{1}{5}.\frac{3}{8}\)

\( = \left( {27\frac{1}{5} - 3\frac{1}{5}} \right).\frac{3}{8}\)

\( = \left( {27 + \frac{1}{5} - 3 - \frac{1}{5}} \right).\frac{3}{8}\)

\( = 24.\frac{3}{8}\)

\( = 9.\)

b) \({\left( {1 - \frac{1}{2}} \right)^2} + \left| { - \frac{3}{5}} \right|.\sqrt {\frac{1}{{16}}} - \left( { - \frac{2}{5}} \right):{2^2}\)

\( = {\left( {\frac{1}{2}} \right)^2} + \left| { - \frac{3}{5}} \right|.\sqrt {{{\left( {\frac{1}{4}} \right)}^2}} - \left( { - \frac{2}{5}} \right):4\)

\( = \frac{1}{4} + \frac{3}{5}.\frac{1}{4} + \frac{2}{5}.\frac{1}{4}\)

\( = \left( {1 + \frac{3}{5} + \frac{2}{5}} \right).\frac{1}{4}\)

\( = 2.\frac{1}{4}\)

\( = \frac{1}{2}.\)