Răspuns:
[tex]a) 5: \frac{10}{7} = \frac{5}{1}*\frac{7}{10} = \frac{1}{1}*\frac{7}{2} = \frac{7}{2} = 3\frac{1}{2}[/tex]
[tex]b) 4: \frac{2}{5} = \frac{4}{1} *\frac{5}{2} = \frac{2}{1} *\frac{5}{1}= 2*5=10[/tex]
[tex]c) 9:\frac{18}{5}=\frac{9}{1}*\frac{5}{18} = \frac{1}{1} *\frac{5}{2}=\frac{5}{2}=2\frac{1}{2}[/tex]
[tex]d) 9:5\frac{1}{4} = 9:\frac{21}{4} = \frac{9}{1} * \frac{4}{21} = \frac{3}{1} * \frac{4}{7} = \frac{12}{7}= 1\frac{5}{7}[/tex]
[tex]e) 10:7\frac{1}{2} = 10:\frac{15}{2} = \frac{10}{1} * \frac{2}{15} = \frac{2}{1} * \frac{2}{3} = \frac{4}{3} = 1\frac{1}{3}[/tex]
[tex]f) 14:2\frac{1}{3} = 14 : \frac{7}{3} = \frac{14}{1} * \frac{3}{7} = \frac{2}{1} * \frac{3}{1} = 2*3 = 6[/tex]
[tex]g) \frac{4}{7}:3\frac{1}{7} = \frac{4}{7}:\frac{22}{7} = \frac{4}{7}*\frac{7}{22} = \frac{2}{1}*\frac{1}{11}=\frac{2}{11}[/tex]
[tex]h) 5\frac{1}{3} : 3\frac{1}{9} = \frac{16}{3}:\frac{28}{9} = \frac{16}{3}*\frac{9}{28} = \frac{4}{1}*\frac{3}{7} = \frac{12}{7} = 1\frac{5}{7}[/tex]
[tex]i) \frac{15}{14}:3 = \frac{15}{14}:\frac{3}{1} = \frac{15}{14}*\frac{1}{3} = \frac{5}{14}*\frac{1}{1} = \frac{5}{14} = 2\frac{4}{5}[/tex]
[tex]j) 8\frac{1}{10}:6 = \frac{81}{10}:\frac{6}{1} =\frac{81}{10}*\frac{1}{6} = \frac{27}{10}*\frac{1}{2} = \frac{27}{20} = 1\frac{7}{20}[/tex]
