Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-13}{7}\right)-\left(\frac{13}{-10}\right)\\= \frac{-13}{7}+\frac{13}{10}\\=\frac{-130}{70}+\frac{91}{70}\\=\frac{-130+91}{70}\\=\frac{-39}{70}\)
2. \(+\left(\frac{8}{13}\right)+\left(\frac{12}{-11}\right)\\= \frac{8}{13}-\frac{12}{11}\\=\frac{88}{143}-\frac{156}{143}\\=\frac{88-156}{143}\\=\frac{-68}{143}\)
3. \(-\left(\frac{-13}{-2}\right)+\left(\frac{7}{-4}\right)\\= \frac{-13}{2}-\frac{7}{4}\\=\frac{-26}{4}-\frac{7}{4}\\=\frac{-26-7}{4}\\=\frac{-33}{4}\)
4. \(-\left(\frac{-13}{5}\right)-\left(\frac{-4}{13}\right)\\= \frac{13}{5}+\frac{4}{13}\\=\frac{169}{65}+\frac{20}{65}\\=\frac{169+20}{65}\\=\frac{189}{65}\)
5. \(-\left(\frac{-4}{-7}\right)-\left(\frac{7}{10}\right)\\= \frac{-4}{7}-\frac{7}{10}\\=\frac{-40}{70}-\frac{49}{70}\\=\frac{-40-49}{70}\\=\frac{-89}{70}\)
6. \(+\left(\frac{-2}{-11}\right)-\left(\frac{11}{-10}\right)\\= \frac{2}{11}+\frac{11}{10}\\=\frac{20}{110}+\frac{121}{110}\\=\frac{20+121}{110}\\=\frac{141}{110}\)
7. \(+\left(\frac{15}{2}\right)-\left(\frac{-12}{11}\right)\\= \frac{15}{2}+\frac{12}{11}\\=\frac{165}{22}+\frac{24}{22}\\=\frac{165+24}{22}\\=\frac{189}{22}\)
8. \(+\left(\frac{5}{-12}\right)-\left(\frac{-11}{-5}\right)\\= \frac{-5}{12}-\frac{11}{5}\\=\frac{-25}{60}-\frac{132}{60}\\=\frac{-25-132}{60}\\=\frac{-157}{60}\)
9. \(-\left(\frac{-2}{-7}\right)+\left(\frac{-2}{-11}\right)\\= \frac{-2}{7}+\frac{2}{11}\\=\frac{-22}{77}+\frac{14}{77}\\=\frac{-22+14}{77}\\=\frac{-8}{77}\)
10. \(-\left(\frac{8}{9}\right)-\left(\frac{8}{-13}\right)\\= \frac{-8}{9}+\frac{8}{13}\\=\frac{-104}{117}+\frac{72}{117}\\=\frac{-104+72}{117}\\=\frac{-32}{117}\)
11. \(-\left(\frac{6}{7}\right)+\left(\frac{-8}{-13}\right)\\= \frac{-6}{7}+\frac{8}{13}\\=\frac{-78}{91}+\frac{56}{91}\\=\frac{-78+56}{91}\\=\frac{-22}{91}\)
12. \(+\left(\frac{-6}{5}\right)-\left(\frac{9}{-8}\right)\\= \frac{-6}{5}+\frac{9}{8}\\=\frac{-48}{40}+\frac{45}{40}\\=\frac{-48+45}{40}\\=\frac{-3}{40}\)