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Explicação passo a passo:

[tex]\frac{5}{2}+\frac{3}{4}=\frac{10}{4}+\frac{3}{4}=\frac{10+3}{4}=\frac{13}{4}[/tex]

[tex]\frac{4}{3}-\frac{1}{6}=\frac{8}{6}-\frac{1}{6}=\frac{8-1}{6}=\frac{7}{6}[/tex]

[tex]\frac{3}{2}+\frac{7}{3}=\frac{9}{6}+\frac{14}{6}=\frac{9+14}{6}=\frac{23}{6}[/tex]

[tex]\frac{6}{5}+\frac{2}{3}-\frac{1}{3}=\frac{6}{5}+\frac{1}{3}=\frac{18}{15}+\frac{5}{15}=\frac{18+5}{15}=\frac{23}{15}[/tex]

[tex]\frac{6}{7}-\frac{1}{3}+\frac{4}{3}=\frac{6}{7}+\frac{3}{3}=\frac{18}{21}+\frac{21}{21}=\frac{18+21}{21}=\frac{39}{21}=\frac{13}{7}[/tex]

[tex]\frac{2}{3}+\frac{3}{4}+\frac{2}{6}=\frac{2}{3}+\frac{3}{4}+\frac{1}{3}=\frac{3}{3}+\frac{3}{4}=\frac{12}{12}+\frac{9}{12}=\frac{12+9}{12}=\frac{21}{12}=\frac{7}{4}[/tex]

[tex]\frac{2}{7}\times \frac{7}{5}=\frac{14}{35}=\frac{2}{5}[/tex]

[tex]\frac{7}{5}\times \frac{10}{14}=\frac{7}{5}\times \frac{5}{7}=\frac{35}{35}=1[/tex]

[tex]\frac{9}{8}\times \frac{3}{2}=\frac{27}{8\times \:2}=\frac{27}{16}[/tex]

[tex]\frac{8}{3}\div \:4=\frac{8}{3}\div \frac{4}{1}=\frac{8}{3}\times \frac{1}{4}=\frac{2}{3}[/tex]

[tex]\frac{9}{16}\div \frac{3}{4}=\frac{9}{16}\times \frac{4}{3}=\frac{9\times \:4}{16\times \:3}=\frac{36}{16\times \:3}=\frac{36}{48}=\frac{3}{4}[/tex]

[tex]3\div \frac{2}{7}=\frac{3}{1}\div \frac{2}{7}=\frac{3}{1}\times \frac{7}{2}=\frac{3\times \:7}{1\times \:2}=\frac{21}{1\times \:2}=\frac{21}{2}[/tex]