4. Найдите значения выражения: 1) |-\frac{6}{14}| + |-\frac{5}{21}| 2) |-\frac{7}{45}| + |\frac{7}{15}| 3) |\frac{5}{16}| - |-\frac{3}{24}| 4) |\frac{7}{17}| - |-\frac{2}{51}| 5) |-5| - |\frac{3}{16}| 6) |-1\frac{1}{4}| - |-\frac{5}{6}| 7) |\frac{12}{15}| \cdot |-\frac{5}{48}| 8) |-1\frac{11}{13}| \cdot |-\frac{26}{44}| 9) |2\frac{3}{11}| : |-1\frac{5}{33}| 10) |-3\frac{2}{15}| : |2\frac{3}{20}|

4. Найдите значения выражения:

1) $$|-\frac{6}{14}| + |-\frac{5}{21}|$$

$$|-\frac{6}{14}| + |-\frac{5}{21}| = \frac{6}{14} + \frac{5}{21} = \frac{3}{7} + \frac{5}{21} = \frac{3 \cdot 3}{7 \cdot 3} + \frac{5}{21} = \frac{9}{21} + \frac{5}{21} = \frac{14}{21} = \frac{2}{3}$$

Ответ: $$\frac{2}{3}$$

2) $$|-\frac{7}{45}| + |\frac{7}{15}|$$

$$|-\frac{7}{45}| + |\frac{7}{15}| = \frac{7}{45} + \frac{7}{15} = \frac{7}{45} + \frac{7 \cdot 3}{15 \cdot 3} = \frac{7}{45} + \frac{21}{45} = \frac{28}{45}$$

Ответ: $$\frac{28}{45}$$

3) $$|\frac{5}{16}| - |-\frac{3}{24}|$$

$$|\frac{5}{16}| - |-\frac{3}{24}| = \frac{5}{16} - \frac{3}{24} = \frac{5}{16} - \frac{1}{8} = \frac{5}{16} - \frac{1 \cdot 2}{8 \cdot 2} = \frac{5}{16} - \frac{2}{16} = \frac{3}{16}$$

Ответ: $$\frac{3}{16}$$

4) $$|\frac{7}{17}| - |-\frac{2}{51}|$$

$$|\frac{7}{17}| - |-\frac{2}{51}| = \frac{7}{17} - \frac{2}{51} = \frac{7 \cdot 3}{17 \cdot 3} - \frac{2}{51} = \frac{21}{51} - \frac{2}{51} = \frac{19}{51}$$

Ответ: $$\frac{19}{51}$$

5) $$|-5| - |\frac{3}{16}|$$

$$|-5| - |\frac{3}{16}| = 5 - \frac{3}{16} = \frac{5 \cdot 16}{16} - \frac{3}{16} = \frac{80}{16} - \frac{3}{16} = \frac{77}{16} = 4\frac{13}{16}$$

Ответ: $$4\frac{13}{16}$$

6) $$|-1\frac{1}{4}| - |-\frac{5}{6}|$$

$$|-1\frac{1}{4}| - |-\frac{5}{6}| = 1\frac{1}{4} - \frac{5}{6} = \frac{5}{4} - \frac{5}{6} = \frac{5 \cdot 3}{4 \cdot 3} - \frac{5 \cdot 2}{6 \cdot 2} = \frac{15}{12} - \frac{10}{12} = \frac{5}{12}$$

Ответ: $$\frac{5}{12}$$

7) $$|\frac{12}{15}| \cdot |-\frac{5}{48}|$$

$$|\frac{12}{15}| \cdot |-\frac{5}{48}| = \frac{12}{15} \cdot \frac{5}{48} = \frac{4}{5} \cdot \frac{5}{48} = \frac{1}{1} \cdot \frac{1}{12} = \frac{1}{12}$$

Ответ: $$\frac{1}{12}$$

8) $$|-1\frac{11}{13}| \cdot |-\frac{26}{44}|$$

$$|-1\frac{11}{13}| \cdot |-\frac{26}{44}| = 1\frac{11}{13} \cdot \frac{26}{44} = \frac{24}{13} \cdot \frac{26}{44} = \frac{24}{1} \cdot \frac{2}{44} = \frac{24}{1} \cdot \frac{1}{22} = \frac{12}{11} = 1\frac{1}{11}$$

Ответ: $$1\frac{1}{11}$$

9) $$|2\frac{3}{11}| : |-1\frac{5}{33}|$$

$$|2\frac{3}{11}| : |-1\frac{5}{33}| = 2\frac{3}{11} : 1\frac{5}{33} = \frac{25}{11} : \frac{38}{33} = \frac{25}{11} \cdot \frac{33}{38} = \frac{25}{1} \cdot \frac{3}{38} = \frac{75}{38} = 1\frac{37}{38}$$

Ответ: $$1\frac{37}{38}$$

10) $$|-3\frac{2}{15}| : |2\frac{3}{20}|$$

$$|-3\frac{2}{15}| : |2\frac{3}{20}| = 3\frac{2}{15} : 2\frac{3}{20} = \frac{47}{15} : \frac{43}{20} = \frac{47}{15} \cdot \frac{20}{43} = \frac{47}{3} \cdot \frac{4}{43} = \frac{188}{129} = 1\frac{59}{129}$$

Ответ: $$1\frac{59}{129}$$