Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{12}{5}\right)+\left(\frac{6}{-11}\right)\\= \frac{12}{5}-\frac{6}{11}\\=\frac{132}{55}-\frac{30}{55}\\=\frac{132-30}{55}\\=\frac{102}{55}\)
2. \(-\left(\frac{14}{3}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-14}{3}+\frac{6}{5}\\=\frac{-70}{15}+\frac{18}{15}\\=\frac{-70+18}{15}\\=\frac{-52}{15}\)
3. \(-\left(\frac{-12}{-11}\right)+\left(\frac{15}{-4}\right)\\= \frac{-12}{11}-\frac{15}{4}\\=\frac{-48}{44}-\frac{165}{44}\\=\frac{-48-165}{44}\\=\frac{-213}{44}\)
4. \(-\left(\frac{12}{5}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-12}{5}+\frac{4}{3}\\=\frac{-36}{15}+\frac{20}{15}\\=\frac{-36+20}{15}\\=\frac{-16}{15}\)
5. \(-\left(\frac{5}{-13}\right)-\left(\frac{-5}{9}\right)\\= \frac{5}{13}+\frac{5}{9}\\=\frac{45}{117}+\frac{65}{117}\\=\frac{45+65}{117}\\=\frac{110}{117}\)
6. \(-\left(\frac{15}{-11}\right)-\left(\frac{-5}{11}\right)\\= \frac{15}{11}+\frac{5}{11}\\=\frac{15+5}{11}\\=\frac{20}{11}\)
7. \(+\left(\frac{-5}{14}\right)+\left(\frac{9}{8}\right)\\= \frac{-5}{14}+\frac{9}{8}\\=\frac{-20}{56}+\frac{63}{56}\\=\frac{-20+63}{56}\\=\frac{43}{56}\)
8. \(-\left(\frac{8}{-13}\right)-\left(\frac{15}{7}\right)\\= \frac{8}{13}-\frac{15}{7}\\=\frac{56}{91}-\frac{195}{91}\\=\frac{56-195}{91}\\=\frac{-139}{91}\)
9. \(+\left(\frac{12}{-11}\right)+\left(\frac{10}{-3}\right)\\= \frac{-12}{11}-\frac{10}{3}\\=\frac{-36}{33}-\frac{110}{33}\\=\frac{-36-110}{33}\\=\frac{-146}{33}\)
10. \(-\left(\frac{-5}{11}\right)-\left(\frac{-7}{2}\right)\\= \frac{5}{11}+\frac{7}{2}\\=\frac{10}{22}+\frac{77}{22}\\=\frac{10+77}{22}\\=\frac{87}{22}\)
11. \(-\left(\frac{-13}{4}\right)-\left(\frac{-9}{-13}\right)\\= \frac{13}{4}-\frac{9}{13}\\=\frac{169}{52}-\frac{36}{52}\\=\frac{169-36}{52}\\=\frac{133}{52}\)
12. \(-\left(\frac{-9}{4}\right)+\left(\frac{-14}{11}\right)\\= \frac{9}{4}-\frac{14}{11}\\=\frac{99}{44}-\frac{56}{44}\\=\frac{99-56}{44}\\=\frac{43}{44}\)