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[tex]a)\frac{3}{5}+\frac{2}{3}\\\\=\frac{9}{15}+\frac{10}{15}\\\\=\frac{9+10}{15}\\\\9+10=19\\\\=\frac{19}{15}[/tex]
[tex]b)\frac{5}{6}+\frac{3}{4}\\\\=\frac{10}{12}+\frac{9}{12}\\\\=\frac{10+9}{12}\\\\10+9=19\\\\=\frac{19}{12}[/tex]
[tex]c)\frac{4}{8}+\frac{5}{10}\\\\=\frac{1}{2}+\frac{5}{10}\\\\=\frac{1}{2}+\frac{1}{2}\\\\=\frac{1+1}{2}\\\\=\frac{2}{2}\\\\=1[/tex]
[tex]d)\frac{6}{5}-\frac{3}{4}\\\\=\frac{24-15}{20}\\\\\:24-15=9\\\\=\frac{9}{20}[/tex]
[tex]e)\frac{10}{6}-\frac{5}{3}\\\\=\frac{5}{3}-\frac{5}{3}\\\\=\frac{5-5}{3}\\\\=\frac{0}{3}\\\\=0[/tex]
[tex]f) \frac{12}{10}-\frac{5}{4}\\\\=\frac{6}{5}-\frac{5}{4}\\\\=\frac{24}{20}-\frac{25}{20}\\\\=\frac{24-25}{20}\\\\24-25=-1\\\\=\frac{-1}{20}\\\\=-\frac{1}{20}[/tex]