Ответ:
Находим наименьшее общее кратное знаменателей и умножаем числитель и знаменатель каждой дроби на дополнительный множитель.
- НОК(4, 10) = 20: \(\frac14=\frac5{20}\), \(\frac9{10}=\frac{18}{20}\).
- НОК(15, 6) = 30: \(\frac{11}{15}=\frac{22}{30}\), \(\frac56=\frac{25}{30}\).
- НОК(24, 18) = 72: \(\frac{11}{24}=\frac{33}{72}\), \(\frac{17}{18}=\frac{68}{72}\).
- НОК(24, 30) = 120: \(\frac{19}{24}=\frac{95}{120}\), \(\frac{13}{30}=\frac{52}{120}\).
- НОК(8, 12, 18) = 72: \(\frac78=\frac{63}{72}\), \(\frac5{12}=\frac{30}{72}\), \(\frac{17}{18}=\frac{68}{72}\).
- НОК(6, 25, 15) = 150: \(\frac16=\frac{25}{150}\), \(\frac7{25}=\frac{42}{150}\), \(\frac2{15}=\frac{20}{150}\).
Ответ: 1) \(\frac5{20}\) и \(\frac{18}{20}\); 2) \(\frac{22}{30}\) и \(\frac{25}{30}\); 3) \(\frac{33}{72}\) и \(\frac{68}{72}\); 4) \(\frac{95}{120}\) и \(\frac{52}{120}\); 5) \(\frac{63}{72},\ \frac{30}{72}\) и \(\frac{68}{72}\); 6) \(\frac{25}{150},\ \frac{42}{150}\) и \(\frac{20}{150}\).
