Breuken haakjesregel (reeks 1)

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Bereken

1. \(+\left(\frac{2}{-9}\right)+\left(\frac{7}{4}\right)\)
2. \(-\left(\frac{7}{-4}\right)+\left(\frac{15}{14}\right)\)
3. \(-\left(\frac{5}{6}\right)-\left(\frac{9}{-13}\right)\)
4. \(-\left(\frac{12}{5}\right)+\left(\frac{-11}{-12}\right)\)
5. \(-\left(\frac{12}{7}\right)+\left(\frac{-12}{-5}\right)\)
6. \(+\left(\frac{2}{9}\right)+\left(\frac{-2}{-3}\right)\)
7. \(-\left(\frac{-3}{-8}\right)+\left(\frac{8}{5}\right)\)
8. \(+\left(\frac{-5}{2}\right)+\left(\frac{-3}{-10}\right)\)
9. \(+\left(\frac{-6}{5}\right)-\left(\frac{13}{5}\right)\)
10. \(+\left(\frac{-10}{-7}\right)-\left(\frac{-12}{-5}\right)\)
11. \(-\left(\frac{-11}{-6}\right)-\left(\frac{-10}{-3}\right)\)
12. \(-\left(\frac{-10}{7}\right)-\left(\frac{9}{-7}\right)\)

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{-9}\right)+\left(\frac{7}{4}\right)\\= \frac{-2}{9}+\frac{7}{4}\\=\frac{-8}{36}+\frac{63}{36}\\=\frac{-8+63}{36}\\=\frac{55}{36}\)
2. \(-\left(\frac{7}{-4}\right)+\left(\frac{15}{14}\right)\\= \frac{7}{4}+\frac{15}{14}\\=\frac{49}{28}+\frac{30}{28}\\=\frac{49+30}{28}\\=\frac{79}{28}\)
3. \(-\left(\frac{5}{6}\right)-\left(\frac{9}{-13}\right)\\= \frac{-5}{6}+\frac{9}{13}\\=\frac{-65}{78}+\frac{54}{78}\\=\frac{-65+54}{78}\\=\frac{-11}{78}\)
4. \(-\left(\frac{12}{5}\right)+\left(\frac{-11}{-12}\right)\\= \frac{-12}{5}+\frac{11}{12}\\=\frac{-144}{60}+\frac{55}{60}\\=\frac{-144+55}{60}\\=\frac{-89}{60}\)
5. \(-\left(\frac{12}{7}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-12}{7}+\frac{12}{5}\\=\frac{-60}{35}+\frac{84}{35}\\=\frac{-60+84}{35}\\=\frac{24}{35}\)
6. \(+\left(\frac{2}{9}\right)+\left(\frac{-2}{-3}\right)\\= \frac{2}{9}+\frac{2}{3}\\=\frac{2+2}{9}\\=\frac{4}{9}\)
7. \(-\left(\frac{-3}{-8}\right)+\left(\frac{8}{5}\right)\\= \frac{-3}{8}+\frac{8}{5}\\=\frac{-15}{40}+\frac{64}{40}\\=\frac{-15+64}{40}\\=\frac{49}{40}\)
8. \(+\left(\frac{-5}{2}\right)+\left(\frac{-3}{-10}\right)\\= \frac{-5}{2}+\frac{3}{10}\\=\frac{-25}{10}+\frac{3}{10}\\=\frac{-25+3}{10}\\=\frac{-22}{10}\\=\frac{-11}{5}\)
9. \(+\left(\frac{-6}{5}\right)-\left(\frac{13}{5}\right)\\= \frac{-6}{5}-\frac{13}{5}\\=\frac{-6-13}{5}\\=\frac{-19}{5}\)
10. \(+\left(\frac{-10}{-7}\right)-\left(\frac{-12}{-5}\right)\\= \frac{10}{7}-\frac{12}{5}\\=\frac{50}{35}-\frac{84}{35}\\=\frac{50-84}{35}\\=\frac{-34}{35}\)
11. \(-\left(\frac{-11}{-6}\right)-\left(\frac{-10}{-3}\right)\\= \frac{-11}{6}-\frac{10}{3}\\=\frac{-11-10}{6}\\=\frac{-21}{6}\\=\frac{-7}{2}\)
12. \(-\left(\frac{-10}{7}\right)-\left(\frac{9}{-7}\right)\\= \frac{10}{7}+\frac{9}{7}\\=\frac{10+9}{7}\\=\frac{19}{7}\)