4 целых 2/11 - 1 целых 9/11 = 6 целых 4/23-(3 целых-2 целых 8/23) + 5 целых 16/23 = 100...

1)
$4 \frac{2}{11} -1 \frac{9}{11} =3 \frac{13}{11} -1 \frac{9}{11} =2 \frac{4}{11}$

2)
$6 \frac{4}{23} -(3 -2\frac{8}{23} )+5 \frac{16}{23} =\\ 1) 3 -2\frac{8}{23}=2 \frac{23}{23} -2\frac{8}{23}= \frac{15}{23} \\ 2)6 \frac{4}{23} -\frac{15}{23} =5 \frac{27}{23} -\frac{15}{23} =5 \frac{12}{23} \\ 3) 5 \frac{12}{23}+5 \frac{16}{23} =10 \frac{28}{23} =11 \frac{5}{23}$