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[latex]1)\;9-\frac23+6\frac7{24}-2\frac14=(9+6-2)+(-\frac{16}{24}+\frac7{24}-\frac6{24})=\\=13-\frac{15}{24}=12\frac{24}{24}-\frac{15}{24}=12\frac9{24}=12\frac38\\2)\;8\frac{13}{30}+13\frac45-5\frac56+\frac7{10}=(8+13-5)+(\frac{13}{30}+\frac{24}{30}-\frac{25}{30}+\frac{21}{30})=\\=16+\frac{33}{30}=16+1\frac3{30}=17\frac1{10}\\3)\;17\frac34-9\frac1{32}+4\frac38-5\frac3{16}=(17-9+4-5)+(\frac{24}{32}-\frac1{32}+\frac{12}{32}-\frac6{32})=\\=7+\frac{29}{32}=7\frac{29}{32}[/latex]
[latex]4)\;21\frac4{15}+1\frac56-9\frac7{30}+16\frac7{24}=\\=(21+1-9+16)+(\frac{32}{120}+\frac{100}{120}-\frac{28}{120}+\frac{35}{120})=29+\frac{139}{120}=\\=29+1\frac{19}{120}=30\frac{19}{120}[/latex]
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