Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-14}{3}\right)-\left(\frac{13}{3}\right)\\= \frac{14}{3}-\frac{13}{3}\\=\frac{14-13}{3}\\=\frac{1}{3}\)
2. \(-\left(\frac{4}{7}\right)+\left(\frac{4}{-7}\right)\\= \frac{-4}{7}-\frac{4}{7}\\=\frac{-4-4}{7}\\=\frac{-8}{7}\)
3. \(-\left(\frac{-10}{-11}\right)+\left(\frac{10}{7}\right)\\= \frac{-10}{11}+\frac{10}{7}\\=\frac{-70}{77}+\frac{110}{77}\\=\frac{-70+110}{77}\\=\frac{40}{77}\)
4. \(+\left(\frac{11}{-3}\right)+\left(\frac{-13}{-3}\right)\\= \frac{-11}{3}+\frac{13}{3}\\=\frac{-11+13}{3}\\=\frac{2}{3}\)
5. \(-\left(\frac{6}{-5}\right)-\left(\frac{-7}{-11}\right)\\= \frac{6}{5}-\frac{7}{11}\\=\frac{66}{55}-\frac{35}{55}\\=\frac{66-35}{55}\\=\frac{31}{55}\)
6. \(-\left(\frac{7}{11}\right)-\left(\frac{-4}{13}\right)\\= \frac{-7}{11}+\frac{4}{13}\\=\frac{-91}{143}+\frac{44}{143}\\=\frac{-91+44}{143}\\=\frac{-47}{143}\)
7. \(+\left(\frac{-6}{7}\right)+\left(\frac{-13}{-9}\right)\\= \frac{-6}{7}+\frac{13}{9}\\=\frac{-54}{63}+\frac{91}{63}\\=\frac{-54+91}{63}\\=\frac{37}{63}\)
8. \(+\left(\frac{10}{-13}\right)+\left(\frac{8}{-3}\right)\\= \frac{-10}{13}-\frac{8}{3}\\=\frac{-30}{39}-\frac{104}{39}\\=\frac{-30-104}{39}\\=\frac{-134}{39}\)
9. \(-\left(\frac{-7}{2}\right)-\left(\frac{8}{3}\right)\\= \frac{7}{2}-\frac{8}{3}\\=\frac{21}{6}-\frac{16}{6}\\=\frac{21-16}{6}\\=\frac{5}{6}\)
10. \(+\left(\frac{2}{5}\right)-\left(\frac{13}{-2}\right)\\= \frac{2}{5}+\frac{13}{2}\\=\frac{4}{10}+\frac{65}{10}\\=\frac{4+65}{10}\\=\frac{69}{10}\)
11. \(-\left(\frac{15}{-4}\right)+\left(\frac{-15}{2}\right)\\= \frac{15}{4}-\frac{15}{2}\\=\frac{15-15}{4}\\=\frac{0}{4}\\=\frac{0}{1}\)
12. \(-\left(\frac{-5}{-4}\right)-\left(\frac{-11}{-12}\right)\\= \frac{-5}{4}-\frac{11}{12}\\=\frac{-15}{12}-\frac{11}{12}\\=\frac{-15-11}{12}\\=\frac{-26}{12}\\=\frac{-13}{6}\)