Thực hiện phép tính (tính hợp lí nếu có thể): a) 3/4- 0,25 + 1 1/2; b) 4/5 + 3/5.(-2/15)
a) \(\frac{3}{4} - 0,25 + 1\frac{1}{2}\)
\( = \frac{3}{4} - \frac{1}{4} + 1\frac{1}{2}\)
\( = \left( {\frac{3}{4} - \frac{1}{4}} \right) + 1\frac{1}{2}\)
\( = \frac{1}{2} + 1\frac{1}{2}\)
\( = 2\).
c) \[\left( { - \frac{{12}}{5} + \frac{1}{3}} \right).\frac{{10}}{{31}} + \frac{3}{4}:1\frac{1}{2}\]
\( = \frac{{ - 31}}{{15}}.\frac{{10}}{{31}} + \frac{3}{4}:\frac{3}{4}\)
\( = - \frac{2}{3} + \frac{3}{4}.\frac{2}{3}\)
\( = - \frac{2}{3} + \frac{1}{2}\)
\[ = \frac{{ - 4}}{6} + \frac{3}{6} = - \frac{1}{6}\].
b) \(\frac{4}{5} + \frac{3}{5}.\left( { - \frac{2}{{15}}} \right)\)
\( = \frac{4}{5} + \frac{{ - 2}}{{25}}\)
\( = \frac{{20}}{{25}} + \frac{{ - 2}}{{25}}\)
\( = \frac{{18}}{{25}}\);
d) \( - \frac{5}{7} \cdot \frac{2}{{11}} + \frac{{ - 5}}{7} \cdot \frac{9}{{11}} + \frac{{ - 5}}{7}\)
\( = - \frac{5}{7} \cdot \left( {\frac{2}{{11}} + \frac{9}{{11}}} \right) + \frac{{ - 5}}{7}\)
\( = - \frac{5}{7} \cdot \left( {\frac{2}{{11}} + \frac{9}{{11}}} \right) + \frac{{ - 5}}{7}\)
\( = - \frac{5}{7} \cdot 1 + \frac{{ - 5}}{7}\)
\( = - \frac{5}{7} + \frac{{ - 5}}{7}\)
\( = \frac{{ - 10}}{7}\).