Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{11}\right)+\left(\frac{5}{2}\right)\\= \frac{-4}{11}+\frac{5}{2}\\=\frac{-8}{22}+\frac{55}{22}\\=\frac{-8+55}{22}\\=\frac{47}{22}\)
2. \(+\left(\frac{-11}{-14}\right)+\left(\frac{4}{-5}\right)\\= \frac{11}{14}-\frac{4}{5}\\=\frac{55}{70}-\frac{56}{70}\\=\frac{55-56}{70}\\=\frac{-1}{70}\)
3. \(+\left(\frac{5}{-2}\right)+\left(\frac{7}{4}\right)\\= \frac{-5}{2}+\frac{7}{4}\\=\frac{-10}{4}+\frac{7}{4}\\=\frac{-10+7}{4}\\=\frac{-3}{4}\)
4. \(+\left(\frac{5}{-12}\right)+\left(\frac{9}{5}\right)\\= \frac{-5}{12}+\frac{9}{5}\\=\frac{-25}{60}+\frac{108}{60}\\=\frac{-25+108}{60}\\=\frac{83}{60}\)
5. \(-\left(\frac{-3}{10}\right)-\left(\frac{-6}{-5}\right)\\= \frac{3}{10}-\frac{6}{5}\\=\frac{3-6}{10}\\=\frac{-3}{10}\)
6. \(-\left(\frac{-2}{-11}\right)-\left(\frac{-9}{-8}\right)\\= \frac{-2}{11}-\frac{9}{8}\\=\frac{-16}{88}-\frac{99}{88}\\=\frac{-16-99}{88}\\=\frac{-115}{88}\)
7. \(-\left(\frac{-7}{2}\right)+\left(\frac{-6}{-5}\right)\\= \frac{7}{2}+\frac{6}{5}\\=\frac{35}{10}+\frac{12}{10}\\=\frac{35+12}{10}\\=\frac{47}{10}\)
8. \(-\left(\frac{-4}{-3}\right)-\left(\frac{-14}{9}\right)\\= \frac{-4}{3}+\frac{14}{9}\\=\frac{-12}{9}+\frac{14}{9}\\=\frac{-12+14}{9}\\=\frac{2}{9}\)
9. \(-\left(\frac{8}{-9}\right)-\left(\frac{-2}{-3}\right)\\= \frac{8}{9}-\frac{2}{3}\\=\frac{8-2}{9}\\=\frac{6}{9}\\=\frac{2}{3}\)
10. \(+\left(\frac{-13}{-9}\right)-\left(\frac{10}{9}\right)\\= \frac{13}{9}-\frac{10}{9}\\=\frac{13-10}{9}\\=\frac{3}{9}\\=\frac{1}{3}\)
11. \(+\left(\frac{-6}{5}\right)-\left(\frac{-2}{3}\right)\\= \frac{-6}{5}+\frac{2}{3}\\=\frac{-18}{15}+\frac{10}{15}\\=\frac{-18+10}{15}\\=\frac{-8}{15}\)
12. \(-\left(\frac{11}{12}\right)+\left(\frac{10}{-13}\right)\\= \frac{-11}{12}-\frac{10}{13}\\=\frac{-143}{156}-\frac{120}{156}\\=\frac{-143-120}{156}\\=\frac{-263}{156}\)