Сократи дроби: 125/75, 75/100, 24/360, 125/1000, 42/320

3. Сокращаем дроби: а) $\frac{125}{75} = \frac{5 \cdot 25}{3 \cdot 25} = \frac{5}{3}$, $\frac{75}{100} = \frac{3 \cdot 25}{4 \cdot 25} = \frac{3}{4}$, $\frac{24}{360} = \frac{1 \cdot 24}{15 \cdot 24} = \frac{1}{15}$, $\frac{125}{1000} = \frac{1 \cdot 125}{8 \cdot 125} = \frac{1}{8}$, $\frac{42}{320} = \frac{21 \cdot 2}{160 \cdot 2} = \frac{21}{160}$. б) $\frac{75}{300} = \frac{1 \cdot 75}{4 \cdot 75} = \frac{1}{4}$, $\frac{33}{243} = \frac{11 \cdot 3}{81 \cdot 3} = \frac{11}{81}$, $\frac{820}{41} = \frac{20 \cdot 41}{1 \cdot 41} = 20$, $\frac{45}{900} = \frac{1 \cdot 45}{20 \cdot 45} = \frac{1}{20}$, $\frac{105}{1200} = \frac{7 \cdot 15}{80 \cdot 15} = \frac{7}{80}$. 14. Сокращаем дроби с натуральными числителями и знаменателями: a) $\frac{15 \cdot 3}{7 \cdot 10} = \frac{3 \cdot 5 \cdot 3}{7 \cdot 2 \cdot 5} = \frac{9}{14}$, $\frac{9 \cdot 5}{5 \cdot 21} = \frac{9 \cdot 5}{5 \cdot 3 \cdot 7} = \frac{3}{7}$, $\frac{21 \cdot 4 \cdot 3}{9 \cdot 105} = \frac{21 \cdot 4 \cdot 3}{9 \cdot 5 \cdot 21} = \frac{4}{15}$, $\frac{19 \cdot 8 \cdot 11}{12 \cdot 57 \cdot 7} = \frac{19 \cdot 8 \cdot 11}{3 \cdot 4 \cdot 3 \cdot 19 \cdot 7} = \frac{22}{63}$. б) $\frac{2a}{8ab} = \frac{1 \cdot 2a}{4b \cdot 2a} = \frac{1}{4b}$, $\frac{15mkt}{34mt} = \frac{15k \cdot mt}{34 \cdot mt} = \frac{15k}{34}$, $\frac{18dcm}{45bdmk} = \frac{2c \cdot 9dm}{5bk \cdot 9dm} = \frac{2c}{5bk}$, $\frac{xy}{4mnxy} = \frac{1 \cdot xy}{4mn \cdot xy} = \frac{1}{4mn}$.