Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{13}{-3}\right)+\left(\frac{11}{13}\right)\\= \frac{13}{3}+\frac{11}{13}\\=\frac{169}{39}+\frac{33}{39}\\=\frac{169+33}{39}\\=\frac{202}{39}\)
2. \(-\left(\frac{9}{-11}\right)-\left(\frac{-8}{7}\right)\\= \frac{9}{11}+\frac{8}{7}\\=\frac{63}{77}+\frac{88}{77}\\=\frac{63+88}{77}\\=\frac{151}{77}\)
3. \(+\left(\frac{-12}{11}\right)+\left(\frac{-4}{3}\right)\\= \frac{-12}{11}-\frac{4}{3}\\=\frac{-36}{33}-\frac{44}{33}\\=\frac{-36-44}{33}\\=\frac{-80}{33}\)
4. \(+\left(\frac{14}{-13}\right)+\left(\frac{-7}{-9}\right)\\= \frac{-14}{13}+\frac{7}{9}\\=\frac{-126}{117}+\frac{91}{117}\\=\frac{-126+91}{117}\\=\frac{-35}{117}\)
5. \(+\left(\frac{13}{9}\right)-\left(\frac{5}{13}\right)\\= \frac{13}{9}-\frac{5}{13}\\=\frac{169}{117}-\frac{45}{117}\\=\frac{169-45}{117}\\=\frac{124}{117}\)
6. \(+\left(\frac{-12}{-5}\right)+\left(\frac{-5}{12}\right)\\= \frac{12}{5}-\frac{5}{12}\\=\frac{144}{60}-\frac{25}{60}\\=\frac{144-25}{60}\\=\frac{119}{60}\)
7. \(+\left(\frac{7}{-3}\right)+\left(\frac{-13}{9}\right)\\= \frac{-7}{3}-\frac{13}{9}\\=\frac{-21}{9}-\frac{13}{9}\\=\frac{-21-13}{9}\\=\frac{-34}{9}\)
8. \(-\left(\frac{-9}{-13}\right)+\left(\frac{14}{-5}\right)\\= \frac{-9}{13}-\frac{14}{5}\\=\frac{-45}{65}-\frac{182}{65}\\=\frac{-45-182}{65}\\=\frac{-227}{65}\)
9. \(+\left(\frac{8}{-13}\right)-\left(\frac{-3}{-7}\right)\\= \frac{-8}{13}-\frac{3}{7}\\=\frac{-56}{91}-\frac{39}{91}\\=\frac{-56-39}{91}\\=\frac{-95}{91}\)
10. \(-\left(\frac{-2}{-15}\right)-\left(\frac{-7}{-4}\right)\\= \frac{-2}{15}-\frac{7}{4}\\=\frac{-8}{60}-\frac{105}{60}\\=\frac{-8-105}{60}\\=\frac{-113}{60}\)
11. \(+\left(\frac{15}{2}\right)-\left(\frac{12}{-7}\right)\\= \frac{15}{2}+\frac{12}{7}\\=\frac{105}{14}+\frac{24}{14}\\=\frac{105+24}{14}\\=\frac{129}{14}\)
12. \(+\left(\frac{13}{-4}\right)+\left(\frac{-15}{-11}\right)\\= \frac{-13}{4}+\frac{15}{11}\\=\frac{-143}{44}+\frac{60}{44}\\=\frac{-143+60}{44}\\=\frac{-83}{44}\)