Thực hiện phép tính

a) \(4\frac{1}{4}\,\, - \,\,2\frac{5}{8}\,\, + \,\,2\frac{3}{5}\)

\( = \frac{{17}}{4} - \frac{{21}}{8} + \frac{{13}}{5}\)

\( = \frac{{170}}{{40}} - \frac{{105}}{{40}} + \frac{{104}}{{40}}\)

\( = \frac{{169}}{{40}}\)

b) \(5\frac{1}{7}\,\, - \,\,2\frac{4}{5}\,\,:\,\,1\frac{1}{5}\)

\( = \frac{{36}}{7} - \frac{{14}}{5}:\frac{6}{5}\)

\( = \frac{{36}}{7} - \frac{{14}}{5} \times \frac{5}{6}\)

\( = \frac{{36}}{7} - \frac{7}{3}\) \[ = \frac{{59}}{{21}}\]

c) \(2\frac{3}{5}\,\, + \,\,1\frac{1}{4}\,\, \times \,\,2\frac{2}{3}\)

\( = \frac{{13}}{5} + \frac{5}{4} \times \frac{8}{3}\)

\( = \frac{{13}}{5} + \frac{{10}}{3}\)

\( = \frac{{39}}{{15}} + \frac{{50}}{{15}}\)\( = \frac{{89}}{{18}}\)

d) \(4\frac{1}{3}\,\, \times \,\,1\frac{1}{2}\,\, + \,\,5\frac{2}{7}\)

\( = \,\,\frac{{13}}{3}\,\, \times \,\,\frac{3}{2}\,\, + \,\,\frac{{37}}{7}\)

\( = \,\,\frac{{13}}{2}\,\, + \,\,\frac{{37}}{7}\)

\( = \,\,\frac{{91}}{{14}}\,\, + \,\,\frac{{74}}{{14}}\,\, = \,\,\frac{{165}}{{14}}\)