Выполните сложение Вариант 4 1) \frac{1}{2} + \frac{3}{4} = 2) \frac{6}{7} + \frac{5}{14} = 3) \frac{2}{3} + \frac{7}{12} = 4) \frac{4}{5} + \frac{3}{20} = 5) \frac{4}{9} + \frac{7}{18} = 6) \frac{9}{10} + \frac{4}{15} = 7) \frac{5}{6} + \frac{3}{14} = 8) \frac{5}{12} + \frac{1}{18} = 9) \frac{1}{8} + \frac{3}{12} = 10) \frac{3}{4} + \frac{1}{6} =

Решение:

1. $$\frac{1}{2} + \frac{3}{4} = \frac{1 \cdot 2}{2 \cdot 2} + \frac{3}{4} = \frac{2}{4} + \frac{3}{4} = \frac{2+3}{4} = \frac{5}{4} = 1\frac{1}{4}$$
2. $$\frac{6}{7} + \frac{5}{14} = \frac{6 \cdot 2}{7 \cdot 2} + \frac{5}{14} = \frac{12}{14} + \frac{5}{14} = \frac{12+5}{14} = \frac{17}{14} = 1\frac{3}{14}$$
3. $$\frac{2}{3} + \frac{7}{12} = \frac{2 \cdot 4}{3 \cdot 4} + \frac{7}{12} = \frac{8}{12} + \frac{7}{12} = \frac{8+7}{12} = \frac{15}{12} = \frac{5}{4} = 1\frac{1}{4}$$
4. $$\frac{4}{5} + \frac{3}{20} = \frac{4 \cdot 4}{5 \cdot 4} + \frac{3}{20} = \frac{16}{20} + \frac{3}{20} = \frac{16+3}{20} = \frac{19}{20}$$
5. $$\frac{4}{9} + \frac{7}{18} = \frac{4 \cdot 2}{9 \cdot 2} + \frac{7}{18} = \frac{8}{18} + \frac{7}{18} = \frac{8+7}{18} = \frac{15}{18} = \frac{5}{6}$$
6. $$\frac{9}{10} + \frac{4}{15} = \frac{9 \cdot 3}{10 \cdot 3} + \frac{4 \cdot 2}{15 \cdot 2} = \frac{27}{30} + \frac{8}{30} = \frac{27+8}{30} = \frac{35}{30} = \frac{7}{6} = 1\frac{1}{6}$$
7. $$\frac{5}{6} + \frac{3}{14} = \frac{5 \cdot 7}{6 \cdot 7} + \frac{3 \cdot 3}{14 \cdot 3} = \frac{35}{42} + \frac{9}{42} = \frac{35+9}{42} = \frac{44}{42} = \frac{22}{21} = 1\frac{1}{21}$$
8. $$\frac{5}{12} + \frac{1}{18} = \frac{5 \cdot 3}{12 \cdot 3} + \frac{1 \cdot 2}{18 \cdot 2} = \frac{15}{36} + \frac{2}{36} = \frac{15+2}{36} = \frac{17}{36}$$
9. $$\frac{1}{8} + \frac{3}{12} = \frac{1 \cdot 3}{8 \cdot 3} + \frac{3 \cdot 2}{12 \cdot 2} = \frac{3}{24} + \frac{6}{24} = \frac{3+6}{24} = \frac{9}{24} = \frac{3}{8}$$
10. $$\frac{3}{4} + \frac{1}{6} = \frac{3 \cdot 3}{4 \cdot 3} + \frac{1 \cdot 2}{6 \cdot 2} = \frac{9}{12} + \frac{2}{12} = \frac{9+2}{12} = \frac{11}{12}$$

Ответ:

1. $$\frac{5}{4} = 1\frac{1}{4}$$
2. $$\frac{17}{14} = 1\frac{3}{14}$$
3. $$\frac{5}{4} = 1\frac{1}{4}$$
4. $$\frac{19}{20}$$
5. $$\frac{5}{6}$$
6. $$\frac{7}{6} = 1\frac{1}{6}$$
7. $$\frac{22}{21} = 1\frac{1}{21}$$
8. $$\frac{17}{36}$$
9. $$\frac{3}{8}$$
10. $$\frac{11}{12}$$