Сократите дроби: 8/12, 12/16, 12/18, 24/40...

1) Сократите дроби: а) $\frac{8}{12} = \frac{8 : 4}{12 : 4} = \frac{2}{3}$ б) $\frac{12}{16} = \frac{12 : 4}{16 : 4} = \frac{3}{4}$ в) $\frac{12}{18} = \frac{12 : 6}{18 : 6} = \frac{2}{3}$ г) $\frac{24}{40} = \frac{24 : 8}{40 : 8} = \frac{3}{5}$ д) $\frac{18}{27} = \frac{18 : 9}{27 : 9} = \frac{2}{3}$ е) $\frac{8}{36} = \frac{8 : 4}{36 : 4} = \frac{2}{9}$ ж) $\frac{20}{70} = \frac{20 : 10}{70 : 10} = \frac{2}{7}$ з) $\frac{30}{75} = \frac{30 : 15}{75 : 15} = \frac{2}{5}$ и) $\frac{15}{27} = \frac{15 : 3}{27 : 3} = \frac{5}{9}$ к) $\frac{26}{39} = \frac{26 : 13}{39 : 13} = \frac{2}{3}$ л) $\frac{15}{40} = \frac{15 : 5}{40 : 5} = \frac{3}{8}$ м) $\frac{22}{33} = \frac{22 : 11}{33 : 11} = \frac{2}{3}$ №2 Сократите дроби: а) **Ответ: $\frac{1}{5}$** $$\frac{8 \cdot 3}{3 \cdot 40} = \frac{8 \cdot \cancel{3}}{\cancel{3} \cdot 40} = \frac{8}{40} = \frac{1}{5}$$ б) **Ответ: $\frac{3}{4}$** $$\frac{10 \cdot 11 \cdot 9}{12 \cdot 10 \cdot 11} = \frac{\cancel{10} \cdot \cancel{11} \cdot 9}{12 \cdot \cancel{10} \cdot \cancel{11}} = \frac{9}{12} = \frac{3}{4}$$ в) **Ответ: $\frac{11}{25}$** $$\frac{16 \cdot 18 - 16 \cdot 7}{16 \cdot 18 + 16 \cdot 7} = \frac{16 \cdot (18 - 7)}{16 \cdot (18 + 7)} = \frac{\cancel{16} \cdot 11}{\cancel{16} \cdot 25} = \frac{11}{25}$$ г) **Ответ: $\frac{4}{23}$** $$\frac{82 \cdot 18 - 14 \cdot 82}{82 \cdot 19 + 82 \cdot 4} = \frac{82 \cdot (18 - 14)}{82 \cdot (19 + 4)} = \frac{\cancel{82} \cdot 4}{\cancel{82} \cdot 23} = \frac{4}{23}$$