ГДЗ 6. Выполните деление натурального числа на дробь, предварительно записав натуральное число в виде дроби со знамен...

$5: \frac{9}{5} = \frac{5}{1}: \frac{9}{5} = \frac{5}{1} \cdot \frac{5}{9} = \frac{5 \cdot 5}{1 \cdot 9} = \frac{25}{9} = 2\frac{7}{9}$

$16: \frac{3}{4} = \frac{16}{1}: \frac{3}{4} = \frac{16}{1} \cdot \frac{4}{3} = \frac{16 \cdot 4}{1 \cdot 3} = \frac{64}{3} = 21\frac{1}{3}$

$12: \frac{4}{5} = \frac{12}{1}: \frac{4}{5} = \frac{12}{1} \cdot \frac{5}{4} = \frac{\overset{3}{\cancel{12}} \cdot 5}{1 \cdot \underset{1}{\cancel{4}}} = \frac{3 \cdot 5}{1} = 15$

$7: \frac{49}{6} = \frac{7}{1}: \frac{49}{6} = \frac{7}{1} \cdot \frac{6}{49} = \frac{\overset{1}{\cancel{7}} \cdot 6}{1 \cdot \underset{7}{\cancel{49}}} = \frac{6}{7}$

$\frac{17}{50} \cdot \frac{15}{34} = \frac{\overset{1}{\cancel{17}} \cdot \overset{3}{\cancel{15}}}{\underset{10}{\cancel{50}} \cdot \underset{2}{\cancel{34}}} = \frac{1 \cdot 3}{10 \cdot 2} = \frac{3}{20}$

$2\frac{4}{21}: 3\frac{2}{7} = \frac{2 \cdot 21 + 4}{21}: \frac{3 \cdot 7 + 2}{7} = \frac{46}{21}: \frac{23}{7} = \frac{46}{21} \cdot \frac{7}{23} = \frac{\overset{2}{\cancel{46}} \cdot \overset{1}{\cancel{7}}}{\underset{3}{\cancel{21}} \cdot \underset{1}{\cancel{23}}} = \frac{2}{3}$

$\frac{5}{13} \cdot 26 = \frac{5}{13} \cdot \frac{26}{1} = \frac{5 \cdot \overset{2}{\cancel{26}}}{\underset{1}{\cancel{13}} \cdot 1} = 5 \cdot 2 = 10$

$9\frac{3}{4}: 11\frac{7}{10} = \frac{9 \cdot 4 + 3}{4}: \frac{11 \cdot 10 + 7}{10} = \frac{39}{4}: \frac{117}{10} = \frac{39}{4} \cdot \frac{10}{117} = \frac{\overset{1}{\cancel{39}} \cdot \overset{5}{\cancel{10}}}{\underset{2}{\cancel{4}} \cdot \underset{3}{\cancel{117}}} = \frac{1 \cdot 5}{2 \cdot 3} = \frac{5}{6}$