Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{13}\right)+\left(\frac{5}{8}\right)\\= \frac{4}{13}+\frac{5}{8}\\=\frac{32}{104}+\frac{65}{104}\\=\frac{32+65}{104}\\=\frac{97}{104}\)
2. \(-\left(\frac{2}{-11}\right)-\left(\frac{-4}{-11}\right)\\= \frac{2}{11}-\frac{4}{11}\\=\frac{2-4}{11}\\=\frac{-2}{11}\)
3. \(+\left(\frac{-5}{2}\right)-\left(\frac{-15}{-4}\right)\\= \frac{-5}{2}-\frac{15}{4}\\=\frac{-10}{4}-\frac{15}{4}\\=\frac{-10-15}{4}\\=\frac{-25}{4}\)
4. \(+\left(\frac{-12}{-7}\right)+\left(\frac{15}{-7}\right)\\= \frac{12}{7}-\frac{15}{7}\\=\frac{12-15}{7}\\=\frac{-3}{7}\)
5. \(-\left(\frac{11}{-2}\right)+\left(\frac{-11}{-6}\right)\\= \frac{11}{2}+\frac{11}{6}\\=\frac{33}{6}+\frac{11}{6}\\=\frac{33+11}{6}\\=\frac{44}{6}\\=\frac{22}{3}\)
6. \(+\left(\frac{10}{-3}\right)-\left(\frac{-11}{10}\right)\\= \frac{-10}{3}+\frac{11}{10}\\=\frac{-100}{30}+\frac{33}{30}\\=\frac{-100+33}{30}\\=\frac{-67}{30}\)
7. \(+\left(\frac{4}{-7}\right)+\left(\frac{13}{-14}\right)\\= \frac{-4}{7}-\frac{13}{14}\\=\frac{-8}{14}-\frac{13}{14}\\=\frac{-8-13}{14}\\=\frac{-21}{14}\\=\frac{-3}{2}\)
8. \(+\left(\frac{11}{3}\right)+\left(\frac{-3}{-7}\right)\\= \frac{11}{3}+\frac{3}{7}\\=\frac{77}{21}+\frac{9}{21}\\=\frac{77+9}{21}\\=\frac{86}{21}\)
9. \(-\left(\frac{-13}{2}\right)-\left(\frac{7}{-5}\right)\\= \frac{13}{2}+\frac{7}{5}\\=\frac{65}{10}+\frac{14}{10}\\=\frac{65+14}{10}\\=\frac{79}{10}\)
10. \(-\left(\frac{13}{-9}\right)+\left(\frac{-11}{-9}\right)\\= \frac{13}{9}+\frac{11}{9}\\=\frac{13+11}{9}\\=\frac{24}{9}\\=\frac{8}{3}\)
11. \(-\left(\frac{11}{12}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-11}{12}-\frac{2}{3}\\=\frac{-11-2}{12}\\=\frac{-13}{12}\)
12. \(+\left(\frac{8}{-3}\right)-\left(\frac{-15}{-14}\right)\\= \frac{-8}{3}-\frac{15}{14}\\=\frac{-112}{42}-\frac{45}{42}\\=\frac{-112-45}{42}\\=\frac{-157}{42}\)