Solve the following fraction problems: 3/8 + 1/6 5/8 - 1/3 15 - 27/7 15 + 2/9 15 + 7/6 15/4 - 3/5

Решение:

1. \( \frac{3}{8} + \frac{1}{6} = \frac{3 \cdot 3}{8 \cdot 3} + \frac{1 \cdot 4}{6 \cdot 4} = \frac{9}{24} + \frac{4}{24} = \frac{9+4}{24} = \frac{13}{24} \)
2. \( \frac{5}{8} - \frac{1}{3} = \frac{5 \cdot 3}{8 \cdot 3} - \frac{1 \cdot 8}{3 \cdot 8} = \frac{15}{24} - \frac{8}{24} = \frac{15-8}{24} = \frac{7}{24} \)
3. \( 15 - \frac{27}{7} = \frac{15 \cdot 7}{7} - \frac{27}{7} = \frac{105}{7} - \frac{27}{7} = \frac{105-27}{7} = \frac{78}{7} \)
4. \( 15 + \frac{2}{9} = \frac{15 \cdot 9}{9} + \frac{2}{9} = \frac{135}{9} + \frac{2}{9} = \frac{135+2}{9} = \frac{137}{9} \)
5. \( 15 + \frac{7}{6} = \frac{15 \cdot 6}{6} + \frac{7}{6} = \frac{90}{6} + \frac{7}{6} = \frac{90+7}{6} = \frac{97}{6} \)
6. \( \frac{15}{4} - \frac{3}{5} = \frac{15 \cdot 5}{4 \cdot 5} - \frac{3 \cdot 4}{5 \cdot 4} = \frac{75}{20} - \frac{12}{20} = \frac{75-12}{20} = \frac{63}{20} \)

Ответ: \( \frac{13}{24} \); \( \frac{7}{24} \); \( \frac{78}{7} \); \( \frac{137}{9} \); \( \frac{97}{6} \); \( \frac{63}{20} \).