Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{3}\right)-\left(\frac{-6}{-5}\right)\\= \frac{7}{3}-\frac{6}{5}\\=\frac{35}{15}-\frac{18}{15}\\=\frac{35-18}{15}\\=\frac{17}{15}\)
2. \(-\left(\frac{5}{14}\right)+\left(\frac{-15}{-7}\right)\\= \frac{-5}{14}+\frac{15}{7}\\=\frac{-5+15}{14}\\=\frac{10}{14}\\=\frac{5}{7}\)
3. \(-\left(\frac{13}{9}\right)-\left(\frac{14}{-5}\right)\\= \frac{-13}{9}+\frac{14}{5}\\=\frac{-65}{45}+\frac{126}{45}\\=\frac{-65+126}{45}\\=\frac{61}{45}\)
4. \(-\left(\frac{-11}{-2}\right)+\left(\frac{4}{3}\right)\\= \frac{-11}{2}+\frac{4}{3}\\=\frac{-33}{6}+\frac{8}{6}\\=\frac{-33+8}{6}\\=\frac{-25}{6}\)
5. \(+\left(\frac{-12}{-5}\right)+\left(\frac{-13}{10}\right)\\= \frac{12}{5}-\frac{13}{10}\\=\frac{24}{10}-\frac{13}{10}\\=\frac{24-13}{10}\\=\frac{11}{10}\)
6. \(-\left(\frac{15}{-11}\right)+\left(\frac{-6}{-5}\right)\\= \frac{15}{11}+\frac{6}{5}\\=\frac{75}{55}+\frac{66}{55}\\=\frac{75+66}{55}\\=\frac{141}{55}\)
7. \(-\left(\frac{-8}{5}\right)+\left(\frac{-12}{11}\right)\\= \frac{8}{5}-\frac{12}{11}\\=\frac{88}{55}-\frac{60}{55}\\=\frac{88-60}{55}\\=\frac{28}{55}\)
8. \(-\left(\frac{8}{5}\right)-\left(\frac{-12}{-13}\right)\\= \frac{-8}{5}-\frac{12}{13}\\=\frac{-104}{65}-\frac{60}{65}\\=\frac{-104-60}{65}\\=\frac{-164}{65}\)
9. \(+\left(\frac{-13}{-3}\right)-\left(\frac{-5}{14}\right)\\= \frac{13}{3}+\frac{5}{14}\\=\frac{182}{42}+\frac{15}{42}\\=\frac{182+15}{42}\\=\frac{197}{42}\)
10. \(+\left(\frac{10}{7}\right)+\left(\frac{-14}{-5}\right)\\= \frac{10}{7}+\frac{14}{5}\\=\frac{50}{35}+\frac{98}{35}\\=\frac{50+98}{35}\\=\frac{148}{35}\)
11. \(+\left(\frac{-15}{8}\right)+\left(\frac{-2}{-9}\right)\\= \frac{-15}{8}+\frac{2}{9}\\=\frac{-135}{72}+\frac{16}{72}\\=\frac{-135+16}{72}\\=\frac{-119}{72}\)
12. \(-\left(\frac{-3}{-8}\right)-\left(\frac{-9}{10}\right)\\= \frac{-3}{8}+\frac{9}{10}\\=\frac{-15}{40}+\frac{36}{40}\\=\frac{-15+36}{40}\\=\frac{21}{40}\)