71$\frac{38}{45}$ - ( 43$\frac{8}{45}$ - 1$\frac{17}{57}$ )
= 71$\frac{38}{45}$ - 43$\frac{8}{45}$ - 1$\frac{17}{57}$
= ( 71 - 43 ) + ( $\frac{38}{45}$ - $\frac{8}{45}$ ) - $\frac{74}{57}$
= 28$\frac{30}{45}$ - $\frac{74}{57}$
= 28$\frac{2}{3}$ - $\frac{74}{57}$
= $\frac{84}{3}$ - $\frac{74}{57}$
= 28 - $\frac{74}{57}$
= $\frac{1596-74}{57}$
= $\frac{1522}{57}$