[tex] 1\frac{3}{8}=\frac{1\cdot8+3}{8}=\frac{8+3}{8}=\frac{11}{8} ; 0,(2)=\frac{2}{9}; \frac{11}{8}\cdot \frac{2}{9}=\frac{11}{36} [/tex]
[tex] \frac{3}{4}\cdot \frac{7}{8}=\frac{7\cdot3}{4\cdot8}=\frac{21}{32} [/tex]
[tex] \frac{2}{3}+\frac{1}{6}\cdot \frac{3}{4}=\frac{2}{3}+\frac{3}{24}=\frac{2\cdot8+3}{24}=\frac{19}{24} [/tex]
[tex] \frac{2}{3}:\frac{1}{6}=\frac{2}{3}\cdot\frac{6}{1}=4 [/tex]
[tex] 2\frac{1}{6}:4\frac{1}{3}=\frac{2\cdot6+1}{6}+\frac{4\cdot3+1}{3}=\frac{13}{6}+ \frac{13}{3}=\frac{13+26}{6}=\frac{39}{6}=6\frac{3}{6} [/tex]
[tex] \frac{1}{8}:2\frac{1}{5}:\frac{1}{2}=\frac{1}{8}:\frac{2\cdot5+1}{5} :\frac{1}{2}=\frac{1}{8}: \frac{11}{5}:\frac{1}{2} =\frac{1}{8}\cdot\frac{5}{11}:\frac{1}{2}=\frac{5}{88}\cdot \frac{2}{1}=\frac{5}{44} [/tex]
[tex] 5:\frac{1}{6}:\frac{3}{4}=5\cdot6:\frac{3}{4}=30\cdot\frac{4}{3}=40 [/tex]
[tex] \frac{1}{6}+ \frac{1}{4}: \frac{1}{2}= \frac{1}{6}+\frac{1}{4}\cdot \frac{2}{1}=\frac{1}{6}+\frac{1}{2}=\frac{4}{6}=\frac{2}{3} [/tex]
[tex] 2\frac{1}{4}-\frac{3}{8}\cdot \frac{4}{1}= \frac{2\cdot4+1}{4}-\frac{12}{8}=\frac{9}{4}-\frac{6}{4}=\frac{3}{4} [/tex]
[tex] 5\frac{1}{7}-1\frac{1}{3}:\frac{4}{9}= \frac{5\cdot7+1}{7}-\frac{3\cdot1+1}{3}\cdot\frac{9}{4}=\frac{36}{7}-\frac{10}{3}\cdot\frac{9}{4}=\frac{36}{7} - \frac{90}{12}= [/tex]
[tex] =\frac{36\cdot12-90\cdot7}{12\cdot7} =\frac{432-630}{85}=\frac{-198}{85}=-2\frac{28}{85} [/tex]
