Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-3}{11}\right)+\left(\frac{14}{11}\right)\\= \frac{-3}{11}+\frac{14}{11}\\=\frac{-3+14}{11}\\=\frac{11}{11}\\=\frac{1}{1}\)
2. \(-\left(\frac{11}{-12}\right)-\left(\frac{-9}{-5}\right)\\= \frac{11}{12}-\frac{9}{5}\\=\frac{55}{60}-\frac{108}{60}\\=\frac{55-108}{60}\\=\frac{-53}{60}\)
3. \(-\left(\frac{-15}{-4}\right)-\left(\frac{-4}{7}\right)\\= \frac{-15}{4}+\frac{4}{7}\\=\frac{-105}{28}+\frac{16}{28}\\=\frac{-105+16}{28}\\=\frac{-89}{28}\)
4. \(-\left(\frac{-8}{-3}\right)+\left(\frac{7}{2}\right)\\= \frac{-8}{3}+\frac{7}{2}\\=\frac{-16}{6}+\frac{21}{6}\\=\frac{-16+21}{6}\\=\frac{5}{6}\)
5. \(+\left(\frac{11}{-3}\right)-\left(\frac{11}{-12}\right)\\= \frac{-11}{3}+\frac{11}{12}\\=\frac{-44}{12}+\frac{11}{12}\\=\frac{-44+11}{12}\\=\frac{-33}{12}\\=\frac{-11}{4}\)
6. \(+\left(\frac{-7}{-13}\right)-\left(\frac{8}{-3}\right)\\= \frac{7}{13}+\frac{8}{3}\\=\frac{21}{39}+\frac{104}{39}\\=\frac{21+104}{39}\\=\frac{125}{39}\)
7. \(+\left(\frac{13}{-4}\right)-\left(\frac{6}{-11}\right)\\= \frac{-13}{4}+\frac{6}{11}\\=\frac{-143}{44}+\frac{24}{44}\\=\frac{-143+24}{44}\\=\frac{-119}{44}\)
8. \(-\left(\frac{10}{7}\right)-\left(\frac{-5}{2}\right)\\= \frac{-10}{7}+\frac{5}{2}\\=\frac{-20}{14}+\frac{35}{14}\\=\frac{-20+35}{14}\\=\frac{15}{14}\)
9. \(+\left(\frac{13}{14}\right)+\left(\frac{-11}{-12}\right)\\= \frac{13}{14}+\frac{11}{12}\\=\frac{78}{84}+\frac{77}{84}\\=\frac{78+77}{84}\\=\frac{155}{84}\)
10. \(+\left(\frac{8}{-3}\right)+\left(\frac{10}{7}\right)\\= \frac{-8}{3}+\frac{10}{7}\\=\frac{-56}{21}+\frac{30}{21}\\=\frac{-56+30}{21}\\=\frac{-26}{21}\)
11. \(+\left(\frac{-12}{5}\right)+\left(\frac{-6}{-13}\right)\\= \frac{-12}{5}+\frac{6}{13}\\=\frac{-156}{65}+\frac{30}{65}\\=\frac{-156+30}{65}\\=\frac{-126}{65}\)
12. \(-\left(\frac{-14}{-13}\right)-\left(\frac{-14}{9}\right)\\= \frac{-14}{13}+\frac{14}{9}\\=\frac{-126}{117}+\frac{182}{117}\\=\frac{-126+182}{117}\\=\frac{56}{117}\)