1) Для \(\frac{1}{4}\) и \(\frac{1}{6}\): \(\operatorname{НОК}(4,6)=12\). \(\frac{1}{4}=\frac{1\cdot3}{4\cdot3}=\frac{3}{12},\ \frac{1}{6}=\frac{1\cdot2}{6\cdot2}=\frac{2}{12}.\) 2) Для \(\frac{1}{4}\) и \(\frac{1}{10}\): \(\operatorname{НОК}(4,10)=20\). \(\frac{1}{4}=\frac{1\cdot5}{4\cdot5}=\frac{5}{20},\ \frac{1}{10}=\frac{1\cdot2}{10\cdot2}=\frac{2}{20}.\) 3) Для \(\frac{3}{8}\) и \(\frac{1}{6}\): \(\operatorname{НОК}(8,6)=24\). \(\frac{3}{8}=\frac{3\cdot3}{8\cdot3}=\frac{9}{24},\ \frac{1}{6}=\frac{1\cdot4}{6\cdot4}=\frac{4}{24}.\)
2) Для \(\frac{1}{4}\) и \(\frac{1}{10}\): \(\operatorname{НОК}(4,10)=20\). \(\frac{1}{4}=\frac{1\cdot5}{4\cdot5}=\frac{5}{20},\ \frac{1}{10}=\frac{1\cdot2}{10\cdot2}=\frac{2}{20}.\)
3) Для \(\frac{3}{8}\) и \(\frac{1}{6}\): \(\operatorname{НОК}(8,6)=24\). \(\frac{3}{8}=\frac{3\cdot3}{8\cdot3}=\frac{9}{24},\ \frac{1}{6}=\frac{1\cdot4}{6\cdot4}=\frac{4}{24}.\)