[tex]\displaystyle (9\frac{3}{8}+4\frac{11}{18})-(-8\frac{1}{8}+3\frac{5}{18})=((9+4)+(\frac{3}{8}+\frac{11}{18}))-(-\frac{65}{8}+\frac{59}{18})=\\\\(13+\frac{71}{72})-(-\frac{349}{72})=13\frac{71}{72}+\frac{349}{72}=\frac{1007}{72}+\frac{349}{72}=\frac{113}{6}=18\frac{5}{6}[/tex]

Пошаговое объяснение:

(9 3/8+4 11/18)-(-8 1/8+3 5/18)=18 5/6

1) 9 3/8+4 11/18=(9+4)+(54/144+88/144)=

=13+142/144=13+71/72=13 71/72

2) (-8 1/8+3 5/18)=( - 8+3)+(-18/144+40/144)=

= - 5+22/144= - 5+11/72= - 4 72/72+11/72=

= - 4 61/72

3) 13 71/72-(-4 61/72)=13 71/72+4 61/72=

=(13+4)+(71/72+61/72)=17 +132/72=

=17+1 60/72=18 60/72=18 5/6