Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{4}\right)+\left(\frac{13}{-4}\right)\\= \frac{-9}{4}-\frac{13}{4}\\=\frac{-9-13}{4}\\=\frac{-22}{4}\\=\frac{-11}{2}\)
2. \(-\left(\frac{5}{-6}\right)+\left(\frac{-12}{5}\right)\\= \frac{5}{6}-\frac{12}{5}\\=\frac{25}{30}-\frac{72}{30}\\=\frac{25-72}{30}\\=\frac{-47}{30}\)
3. \(+\left(\frac{11}{-12}\right)+\left(\frac{-5}{6}\right)\\= \frac{-11}{12}-\frac{5}{6}\\=\frac{-11-5}{12}\\=\frac{-16}{12}\\=\frac{-4}{3}\)
4. \(+\left(\frac{4}{-3}\right)-\left(\frac{10}{9}\right)\\= \frac{-4}{3}-\frac{10}{9}\\=\frac{-12}{9}-\frac{10}{9}\\=\frac{-12-10}{9}\\=\frac{-22}{9}\)
5. \(-\left(\frac{11}{-4}\right)-\left(\frac{9}{-8}\right)\\= \frac{11}{4}+\frac{9}{8}\\=\frac{22}{8}+\frac{9}{8}\\=\frac{22+9}{8}\\=\frac{31}{8}\)
6. \(+\left(\frac{5}{-9}\right)+\left(\frac{2}{5}\right)\\= \frac{-5}{9}+\frac{2}{5}\\=\frac{-25}{45}+\frac{18}{45}\\=\frac{-25+18}{45}\\=\frac{-7}{45}\)
7. \(+\left(\frac{13}{3}\right)-\left(\frac{-12}{11}\right)\\= \frac{13}{3}+\frac{12}{11}\\=\frac{143}{33}+\frac{36}{33}\\=\frac{143+36}{33}\\=\frac{179}{33}\)
8. \(+\left(\frac{-2}{-3}\right)-\left(\frac{-6}{-5}\right)\\= \frac{2}{3}-\frac{6}{5}\\=\frac{10}{15}-\frac{18}{15}\\=\frac{10-18}{15}\\=\frac{-8}{15}\)
9. \(-\left(\frac{3}{13}\right)-\left(\frac{5}{-9}\right)\\= \frac{-3}{13}+\frac{5}{9}\\=\frac{-27}{117}+\frac{65}{117}\\=\frac{-27+65}{117}\\=\frac{38}{117}\)
10. \(-\left(\frac{-10}{9}\right)+\left(\frac{-13}{14}\right)\\= \frac{10}{9}-\frac{13}{14}\\=\frac{140}{126}-\frac{117}{126}\\=\frac{140-117}{126}\\=\frac{23}{126}\)
11. \(-\left(\frac{-9}{7}\right)+\left(\frac{-9}{-4}\right)\\= \frac{9}{7}+\frac{9}{4}\\=\frac{36}{28}+\frac{63}{28}\\=\frac{36+63}{28}\\=\frac{99}{28}\)
12. \(+\left(\frac{-10}{9}\right)+\left(\frac{-6}{-13}\right)\\= \frac{-10}{9}+\frac{6}{13}\\=\frac{-130}{117}+\frac{54}{117}\\=\frac{-130+54}{117}\\=\frac{-76}{117}\)