Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{-3}\right)+\left(\frac{-15}{-4}\right)\\= \frac{4}{3}+\frac{15}{4}\\=\frac{16}{12}+\frac{45}{12}\\=\frac{16+45}{12}\\=\frac{61}{12}\)
2. \(+\left(\frac{-9}{-7}\right)+\left(\frac{-13}{-14}\right)\\= \frac{9}{7}+\frac{13}{14}\\=\frac{18}{14}+\frac{13}{14}\\=\frac{18+13}{14}\\=\frac{31}{14}\)
3. \(-\left(\frac{8}{-3}\right)+\left(\frac{2}{3}\right)\\= \frac{8}{3}+\frac{2}{3}\\=\frac{8+2}{3}\\=\frac{10}{3}\)
4. \(-\left(\frac{6}{5}\right)-\left(\frac{4}{-11}\right)\\= \frac{-6}{5}+\frac{4}{11}\\=\frac{-66}{55}+\frac{20}{55}\\=\frac{-66+20}{55}\\=\frac{-46}{55}\)
5. \(-\left(\frac{5}{-7}\right)+\left(\frac{13}{14}\right)\\= \frac{5}{7}+\frac{13}{14}\\=\frac{10}{14}+\frac{13}{14}\\=\frac{10+13}{14}\\=\frac{23}{14}\)
6. \(+\left(\frac{12}{-5}\right)-\left(\frac{-8}{5}\right)\\= \frac{-12}{5}+\frac{8}{5}\\=\frac{-12+8}{5}\\=\frac{-4}{5}\)
7. \(-\left(\frac{13}{-2}\right)+\left(\frac{6}{-5}\right)\\= \frac{13}{2}-\frac{6}{5}\\=\frac{65}{10}-\frac{12}{10}\\=\frac{65-12}{10}\\=\frac{53}{10}\)
8. \(+\left(\frac{11}{14}\right)-\left(\frac{-3}{-2}\right)\\= \frac{11}{14}-\frac{3}{2}\\=\frac{11-3}{14}\\=\frac{8}{14}\\=\frac{4}{7}\)
9. \(+\left(\frac{13}{8}\right)-\left(\frac{-10}{13}\right)\\= \frac{13}{8}+\frac{10}{13}\\=\frac{169}{104}+\frac{80}{104}\\=\frac{169+80}{104}\\=\frac{249}{104}\)
10. \(-\left(\frac{9}{13}\right)-\left(\frac{-5}{-13}\right)\\= \frac{-9}{13}-\frac{5}{13}\\=\frac{-9-5}{13}\\=\frac{-14}{13}\)
11. \(-\left(\frac{-2}{-5}\right)-\left(\frac{4}{-7}\right)\\= \frac{-2}{5}+\frac{4}{7}\\=\frac{-14}{35}+\frac{20}{35}\\=\frac{-14+20}{35}\\=\frac{6}{35}\)
12. \(-\left(\frac{-12}{-13}\right)+\left(\frac{5}{-9}\right)\\= \frac{-12}{13}-\frac{5}{9}\\=\frac{-108}{117}-\frac{65}{117}\\=\frac{-108-65}{117}\\=\frac{-173}{117}\)