Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{13}{12}\right)+\left(\frac{-8}{3}\right)\\= \frac{-13}{12}-\frac{8}{3}\\=\frac{-13-8}{12}\\=\frac{-21}{12}\\=\frac{-7}{4}\)
2. \(+\left(\frac{13}{11}\right)-\left(\frac{-3}{2}\right)\\= \frac{13}{11}+\frac{3}{2}\\=\frac{26}{22}+\frac{33}{22}\\=\frac{26+33}{22}\\=\frac{59}{22}\)
3. \(-\left(\frac{-12}{11}\right)+\left(\frac{7}{-4}\right)\\= \frac{12}{11}-\frac{7}{4}\\=\frac{48}{44}-\frac{77}{44}\\=\frac{48-77}{44}\\=\frac{-29}{44}\)
4. \(+\left(\frac{-14}{-9}\right)+\left(\frac{3}{4}\right)\\= \frac{14}{9}+\frac{3}{4}\\=\frac{56}{36}+\frac{27}{36}\\=\frac{56+27}{36}\\=\frac{83}{36}\)
5. \(-\left(\frac{-4}{-13}\right)+\left(\frac{14}{5}\right)\\= \frac{-4}{13}+\frac{14}{5}\\=\frac{-20}{65}+\frac{182}{65}\\=\frac{-20+182}{65}\\=\frac{162}{65}\)
6. \(-\left(\frac{4}{3}\right)-\left(\frac{-11}{-12}\right)\\= \frac{-4}{3}-\frac{11}{12}\\=\frac{-16}{12}-\frac{11}{12}\\=\frac{-16-11}{12}\\=\frac{-27}{12}\\=\frac{-9}{4}\)
7. \(-\left(\frac{10}{-3}\right)-\left(\frac{-9}{7}\right)\\= \frac{10}{3}+\frac{9}{7}\\=\frac{70}{21}+\frac{27}{21}\\=\frac{70+27}{21}\\=\frac{97}{21}\)
8. \(+\left(\frac{-5}{14}\right)+\left(\frac{-8}{-7}\right)\\= \frac{-5}{14}+\frac{8}{7}\\=\frac{-5+8}{14}\\=\frac{3}{14}\)
9. \(+\left(\frac{-12}{5}\right)+\left(\frac{-5}{11}\right)\\= \frac{-12}{5}-\frac{5}{11}\\=\frac{-132}{55}-\frac{25}{55}\\=\frac{-132-25}{55}\\=\frac{-157}{55}\)
10. \(-\left(\frac{13}{14}\right)-\left(\frac{-4}{11}\right)\\= \frac{-13}{14}+\frac{4}{11}\\=\frac{-143}{154}+\frac{56}{154}\\=\frac{-143+56}{154}\\=\frac{-87}{154}\)
11. \(+\left(\frac{-8}{13}\right)-\left(\frac{-3}{11}\right)\\= \frac{-8}{13}+\frac{3}{11}\\=\frac{-88}{143}+\frac{39}{143}\\=\frac{-88+39}{143}\\=\frac{-49}{143}\)
12. \(+\left(\frac{10}{-9}\right)-\left(\frac{7}{13}\right)\\= \frac{-10}{9}-\frac{7}{13}\\=\frac{-130}{117}-\frac{63}{117}\\=\frac{-130-63}{117}\\=\frac{-193}{117}\)