Thực hiện phép tính (Tính nhanh nếu có thể):

9/12

a) \(\frac{5}{9} + \frac{4}{9} \cdot \left( { - \frac{1}{4}} \right).\) b) \[\frac{{ - 5}}{{17}}.\frac{{31}}{{33}} + \frac{{ - 5}}{{17}}.\frac{2}{{33}} + 1\frac{2}{{17}}.\]

c) \[\left( {1 + \frac{2}{3} - \frac{5}{4}} \right) - \left( {1 - \frac{5}{4}} \right) + \left( {2022 - \frac{2}{3}} \right).\] d) \(3 - {\left( { - \frac{{27}}{{45}}} \right)^0} + {\left( {\frac{1}{2}} \right)^3} \cdot 16.\)

Nhập câu trả lời ở đây

0/3000 ký tự

Giải thích

a) \(\frac{5}{9} + \frac{4}{9} \cdot \left( { - \frac{1}{4}} \right) = \frac{5}{9} + \frac{{ - 1}}{9} = \frac{4}{9}.\)b) \(\frac{{ - 5}}{{17}}.\frac{{31}}{{33}} + \frac{{ - 5}}{{17}}.\frac{2}{{33}} + 1\frac{2}{{17}} = \frac{{ - 5}}{{17}}\left( {\frac{{31}}{{33}} + \frac{2}{{33}}} \right) + \frac{{19}}{{17}} = \frac{{ - 5}}{{17}} \cdot 1 + \frac{{19}}{{17}} = \frac{{14}}{{17}}.\)

c) \[\left( {1 + \frac{2}{3} - \frac{5}{4}} \right) - \left( {1 - \frac{5}{4}} \right) + \left( {2022 - \frac{2}{3}} \right)\]

\[ = 1 + \frac{2}{3} - \frac{5}{4} - 1 + \frac{5}{4} + 2022 - \frac{2}{3}\]

\[ = \left( {1 - 1} \right) + \left( {\frac{2}{3} - \frac{2}{3}} \right) + \left( {\frac{5}{4} - \frac{5}{4}} \right) + 2022 = 2022\] d) \(3 - {\left( { - \frac{7}{8}} \right)^0} + {\left( {\frac{1}{2}} \right)^3}.16 = 3 - 1 + \frac{1}{8} \cdot 16 = 4.\)