Thực hiện phép tính (tính hợp lí nếu có thể): a) 1/4 + 2/5.- 3/2; b)3/4.26 2/9 - 38 2/9.3/4
Giải thích
a) \(\frac{1}{4} + \frac{2}{5}\,\,.\,\,\frac{{ - 3}}{2}\) \( = \frac{1}{4} + \frac{{ - 3}}{5}\) \( = \frac{5}{{20}} - \frac{{12}}{{20}}\) \( = - \frac{7}{{20}}\); | b) \(\frac{3}{4}.26\frac{2}{9} - 38\frac{2}{9}.\frac{3}{4}\) \( = \frac{3}{4}.\left( {26\frac{2}{9} - 38\frac{2}{9}} \right)\) \( = \frac{3}{4}.\left( {26 + \frac{2}{9} - 38 - \frac{2}{9}} \right)\) \( = \frac{3}{4}.\left( { - 12} \right) = - 9\);
| c) \[\frac{{ - 1}}{4}.\left( {12\frac{3}{4} - 7,75} \right) - 25\% .3\frac{1}{2}\] \[ = \frac{{ - 1}}{4}.\left( {12,75 - 7,75} \right) - \frac{{25}}{{100}}.\frac{7}{2}\] \[ = \frac{{ - 1}}{4}.5 - \frac{1}{4}.\frac{7}{2}\] \[ = \frac{{ - 5}}{4} - \frac{7}{8}\] \[ = \frac{{ - 10}}{8} - \frac{7}{8}\] \[ = \frac{{ - 17}}{8}\]. |