Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{13}\right)-\left(\frac{2}{5}\right)\\= \frac{12}{13}-\frac{2}{5}\\=\frac{60}{65}-\frac{26}{65}\\=\frac{60-26}{65}\\=\frac{34}{65}\)
2. \(-\left(\frac{-7}{13}\right)+\left(\frac{4}{-11}\right)\\= \frac{7}{13}-\frac{4}{11}\\=\frac{77}{143}-\frac{52}{143}\\=\frac{77-52}{143}\\=\frac{25}{143}\)
3. \(-\left(\frac{-3}{-13}\right)-\left(\frac{-2}{3}\right)\\= \frac{-3}{13}+\frac{2}{3}\\=\frac{-9}{39}+\frac{26}{39}\\=\frac{-9+26}{39}\\=\frac{17}{39}\)
4. \(-\left(\frac{-14}{-5}\right)-\left(\frac{-8}{3}\right)\\= \frac{-14}{5}+\frac{8}{3}\\=\frac{-42}{15}+\frac{40}{15}\\=\frac{-42+40}{15}\\=\frac{-2}{15}\)
5. \(+\left(\frac{-9}{-4}\right)-\left(\frac{-3}{-14}\right)\\= \frac{9}{4}-\frac{3}{14}\\=\frac{63}{28}-\frac{6}{28}\\=\frac{63-6}{28}\\=\frac{57}{28}\)
6. \(-\left(\frac{-5}{-4}\right)+\left(\frac{-3}{-7}\right)\\= \frac{-5}{4}+\frac{3}{7}\\=\frac{-35}{28}+\frac{12}{28}\\=\frac{-35+12}{28}\\=\frac{-23}{28}\)
7. \(-\left(\frac{-6}{7}\right)-\left(\frac{-3}{-11}\right)\\= \frac{6}{7}-\frac{3}{11}\\=\frac{66}{77}-\frac{21}{77}\\=\frac{66-21}{77}\\=\frac{45}{77}\)
8. \(-\left(\frac{5}{-4}\right)-\left(\frac{8}{11}\right)\\= \frac{5}{4}-\frac{8}{11}\\=\frac{55}{44}-\frac{32}{44}\\=\frac{55-32}{44}\\=\frac{23}{44}\)
9. \(+\left(\frac{-2}{5}\right)+\left(\frac{-7}{-5}\right)\\= \frac{-2}{5}+\frac{7}{5}\\=\frac{-2+7}{5}\\=\frac{5}{5}\\=\frac{1}{1}\)
10. \(-\left(\frac{-13}{7}\right)+\left(\frac{-8}{-5}\right)\\= \frac{13}{7}+\frac{8}{5}\\=\frac{65}{35}+\frac{56}{35}\\=\frac{65+56}{35}\\=\frac{121}{35}\)
11. \(+\left(\frac{-2}{13}\right)+\left(\frac{4}{7}\right)\\= \frac{-2}{13}+\frac{4}{7}\\=\frac{-14}{91}+\frac{52}{91}\\=\frac{-14+52}{91}\\=\frac{38}{91}\)
12. \(-\left(\frac{14}{13}\right)+\left(\frac{-6}{-7}\right)\\= \frac{-14}{13}+\frac{6}{7}\\=\frac{-98}{91}+\frac{78}{91}\\=\frac{-98+78}{91}\\=\frac{-20}{91}\)