Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{9}\right)+\left(\frac{-10}{-13}\right)\\= \frac{-5}{9}+\frac{10}{13}\\=\frac{-65}{117}+\frac{90}{117}\\=\frac{-65+90}{117}\\=\frac{25}{117}\)
2. \(-\left(\frac{-5}{-9}\right)+\left(\frac{-4}{3}\right)\\= \frac{-5}{9}-\frac{4}{3}\\=\frac{-5-4}{9}\\=\frac{-9}{9}\\=\frac{-1}{1}\)
3. \(-\left(\frac{8}{13}\right)-\left(\frac{10}{9}\right)\\= \frac{-8}{13}-\frac{10}{9}\\=\frac{-72}{117}-\frac{130}{117}\\=\frac{-72-130}{117}\\=\frac{-202}{117}\)
4. \(-\left(\frac{8}{5}\right)-\left(\frac{-12}{-11}\right)\\= \frac{-8}{5}-\frac{12}{11}\\=\frac{-88}{55}-\frac{60}{55}\\=\frac{-88-60}{55}\\=\frac{-148}{55}\)
5. \(-\left(\frac{5}{-4}\right)-\left(\frac{13}{-6}\right)\\= \frac{5}{4}+\frac{13}{6}\\=\frac{15}{12}+\frac{26}{12}\\=\frac{15+26}{12}\\=\frac{41}{12}\)
6. \(+\left(\frac{4}{-3}\right)-\left(\frac{12}{5}\right)\\= \frac{-4}{3}-\frac{12}{5}\\=\frac{-20}{15}-\frac{36}{15}\\=\frac{-20-36}{15}\\=\frac{-56}{15}\)
7. \(+\left(\frac{-9}{-14}\right)-\left(\frac{-12}{11}\right)\\= \frac{9}{14}+\frac{12}{11}\\=\frac{99}{154}+\frac{168}{154}\\=\frac{99+168}{154}\\=\frac{267}{154}\)
8. \(+\left(\frac{10}{-7}\right)-\left(\frac{-4}{7}\right)\\= \frac{-10}{7}+\frac{4}{7}\\=\frac{-10+4}{7}\\=\frac{-6}{7}\)
9. \(-\left(\frac{-5}{-4}\right)-\left(\frac{-5}{-6}\right)\\= \frac{-5}{4}-\frac{5}{6}\\=\frac{-15}{12}-\frac{10}{12}\\=\frac{-15-10}{12}\\=\frac{-25}{12}\)
10. \(+\left(\frac{8}{11}\right)+\left(\frac{13}{2}\right)\\= \frac{8}{11}+\frac{13}{2}\\=\frac{16}{22}+\frac{143}{22}\\=\frac{16+143}{22}\\=\frac{159}{22}\)
11. \(-\left(\frac{10}{9}\right)-\left(\frac{-11}{-10}\right)\\= \frac{-10}{9}-\frac{11}{10}\\=\frac{-100}{90}-\frac{99}{90}\\=\frac{-100-99}{90}\\=\frac{-199}{90}\)
12. \(+\left(\frac{6}{7}\right)+\left(\frac{-15}{7}\right)\\= \frac{6}{7}-\frac{15}{7}\\=\frac{6-15}{7}\\=\frac{-9}{7}\)