11. Приведи дроби с натуральными числителями и знаменателями к наименьшему общему знаменателю, сделав сначала сокращение: 1) \(\frac{88}{275}\) и \(\frac{36}{135}\); 2) \(\frac{30}{540}\) и \(\frac{875}{1750}\); 3) \(\frac{8ab}{48bc}\) и \(\frac{5bnk}{15cnk}\); 4) \(\frac{9c-9t}{9t}\) и \(\frac{5a+3a}{56at}\)

1) \(\frac{88}{275} = \frac{8 \cdot 11}{25 \cdot 11} = \frac{8}{25}\) и \(\frac{36}{135} = \frac{4 \cdot 9}{15 \cdot 9} = \frac{4}{15}\). НОЗ(25, 15) = 75. \(\frac{8 \cdot 3}{25 \cdot 3} = \frac{24}{75}\) и \(\frac{4 \cdot 5}{15 \cdot 5} = \frac{20}{75}\) 2) \(\frac{30}{540} = \frac{3}{54} = \frac{1}{18}\) и \(\frac{875}{1750} = \frac{1}{2}\). НОЗ(18, 2) = 18. \(\frac{1}{18}\) и \(\frac{1 \cdot 9}{2 \cdot 9} = \frac{9}{18}\) 3) \(\frac{8ab}{48bc} = \frac{a}{6c}\) и \(\frac{5bnk}{15cnk} = \frac{b}{3c}\). НОЗ(6c, 3c) = 6c. \(\frac{a}{6c}\) и \(\frac{b \cdot 2}{3c \cdot 2} = \frac{2b}{6c}\) 4) \(\frac{9c-9t}{9t} = \frac{9(c-t)}{9t} = \frac{c-t}{t}\) и \(\frac{5a+3a}{56at} = \frac{8a}{56at} = \frac{1}{7t}\). НОЗ(t, 7t) = 7t. \(\frac{(c-t) \cdot 7}{t \cdot 7} = \frac{7(c-t)}{7t}\) и \(\frac{1}{7t}\)