(1,0 điểm) Thực hiện phép tính: a) 19 37 . 4 9 + ( 2 3 ) 2 . 18 37 ; b) ∣ ∣ − 1 2 ∣ ∣ + ( − 1 3 ) 2 : √ 4 + ( 2 3 ) 2 .

a) \(\frac{{19}}{{37}}.\frac{4}{9} + {\left( {\frac{2}{3}} \right)^2}.\frac{{18}}{{37}}\)

\( = \frac{{19}}{{37}}.\frac{4}{9} + \frac{4}{9}.\frac{{18}}{{37}}\)

\( = \frac{4}{9}.\left( {\frac{{19}}{{37}} + \frac{{18}}{{37}}} \right)\)

\( = \frac{4}{9}.1\)

\( = \frac{4}{9}.\)

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

\( = \frac{1}{2} + \frac{1}{9}:\sqrt {{2^2}} + \frac{4}{9}\)

\( = \frac{1}{2} + \frac{1}{9}:2 + \frac{4}{9}\)

\( = \frac{1}{2} + \frac{1}{9}.\frac{1}{2} + \frac{4}{9}\)

\( = \frac{1}{2}.\left( {1 + \frac{1}{9}} \right) + \frac{4}{9}\)

\( = \frac{1}{2}.\frac{{10}}{9} + \frac{4}{9}\)

\( = \frac{5}{9} + \frac{4}{9}\)

\( = 1.\)