Thực hiện phép tính: (Tính nhanh nếu có thể)
d) (3 - \(\frac{1}{4}\) + \(\frac{2}{3}\)) - (5 - \(\frac{1}{3}\) - \(\frac{6}{5}\)) - (6 - \(\frac{7}{4}\) + \(\frac{3}{2}\))
e) (\(\frac{1}{2}\) - \(\frac{13}{14}\)) : \(\frac{5}{7}\)- (-\(\frac{2}{21}\) + \(\frac{1}{7}\)) : \(\frac{5}{7}\)
g) \(\frac{4}{9}\) : (-\(\frac{1}{7}\)) + 6\(\frac{5}{9}\) : (-\(\frac{1}{7}\))
d) \(\left(3-\frac{1}{4}+\frac{2}{3}\right)-\left(5-\frac{1}{3}-\frac{6}{5}\right)-\left(6-\frac{7}{4}+\frac{3}{2}\right)\)
\(=3-\frac{1}{4}+\frac{2}{3}-5+\frac{1}{3}+\frac{6}{5}-6+\frac{7}{4}-\frac{3}{2}\)
\(=-3+\frac{3}{2}+1-5+\frac{6}{5}-\frac{3}{2}\)
\(=-7+\frac{6}{5}=-\frac{29}{5}\)
e) \(\left(\frac{1}{2}-\frac{13}{14}\right):\frac{5}{7}-\left(-\frac{2}{21}+\frac{1}{7}\right):\frac{5}{7}\)
\(=\left(\frac{1}{2}-\frac{13}{14}+\frac{2}{21}-\frac{1}{7}\right)\cdot\frac{7}{5}=-\frac{10}{21}\cdot\frac{7}{5}=-\frac{2}{3}\)
g) \(\frac{4}{9}:\left(-\frac{1}{7}\right)+6\frac{5}{9}:\left(-\frac{1}{7}\right)=\left(\frac{4}{9}+\frac{59}{9}\right)\cdot\left(-7\right)=7\cdot\left(-7\right)=-49\)