Чтобы разделить две дроби, нужно делимое умножить на число, обратное делителю.

${\Large\frac{4}{11}} : {\Large\frac{7}{11}} = {\Large\frac{4}{11}} \cdot {\Large\frac{11}{7}} = {\Large\frac{4 ~\cdot~ 11}{11 ~\cdot~ 7}} = {\Large\frac{4}{7}}$

Чтобы разделить две дроби, нужно делимое умножить на число, обратное делителю.

${\Large\frac{3}{4}} : 12 = {\Large\frac{3}{4}} \cdot {\Large\frac{1}{12}} = {\Large\frac{3 ~\cdot~ 1}{4 ~\cdot~ 12}} = {\Large\frac{1 ~\cdot~ 1}{4 ~\cdot~ 4}} = {\Large\frac{1}{16}}$

${\Large\frac{6}{65}} : {\Large\frac{4}{10}} = {\Large\frac{6}{65}} \cdot {\Large\frac{10}{4}} = {\Large\frac{6}{65}} \cdot {\Large\frac{5}{2}} = {\Large\frac{6 ~\cdot~ 5}{65 ~\cdot~ 2}} = {\Large\frac{3 ~\cdot~ 1}{13 ~\cdot~ 1}} = {\Large\frac{3}{13}}$

$2 {\Large\frac{4}{25}} = {\Large\frac{25 ~\cdot~ 2 + 4}{25}} = {\Large\frac{54}{25}}$

$2 {\Large\frac{4}{25}} : {\Large\frac{3}{75}} = {\Large\frac{54}{25}} \cdot {\Large\frac{75}{3}} = {\Large\frac{54 ~\cdot~ 75}{25 ~\cdot~ 3}} = {\Large\frac{54 ~\cdot~ 1}{1 ~\cdot~ 1}} = 54$

$3 {\Large\frac{4}{7}} : 3 {\Large\frac{1}{3}} = {\Large\frac{25}{7}} : {\Large\frac{10}{3}} = {\Large\frac{25}{7}} \cdot {\Large\frac{3}{10}} = {\Large\frac{25 ~\cdot~ 3}{7 ~\cdot~ 10}} = {\Large\frac{5 ~\cdot~ 3}{7 ~\cdot~ 2}} = {\Large\frac{15}{14}} = 1 {\Large\frac{1}{14}}$

$x = 16: {\Large\frac{8}{9}}$

$x = 16 \cdot {\Large\frac{9}{8}}$

$x = {\Large\frac{16~ \cdot~ 9}{8}}$

$x = {\Large\frac{2 ~\cdot~ 9}{1}} = 18$

$1)~{\Large\frac{7}{10}} + {\Large\frac{1}{2}} = {\Large\frac{7}{10}} + {\Large\frac{5}{10}} = {\Large\frac{12}{10}} = {\Large\frac{6}{5}}$

$2)~{\Large\frac{8}{15}} : {\Large\frac{6}{5}} = {\Large\frac{8}{15}} \cdot {\Large\frac{5}{6}} = {\Large\frac{8~\cdot~5}{15~\cdot~6}} = {\Large\frac{4~\cdot~1}{3~\cdot~3}} = {\Large\frac{4}{9}}$

$57 : {\Large\frac{3}{5}} = 57 \cdot {\Large\frac{5}{3}} = {\Large\frac{57}{1}} \cdot {\Large\frac{5}{3}} = {\Large\frac{57 ~\cdot~ 5}{1 ~\cdot~ 3}} = {\Large\frac{19 ~\cdot~ 5}{1 ~\cdot~ 1}} = 95$