Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{-7}\right)-\left(\frac{10}{-11}\right)\\= \frac{4}{7}+\frac{10}{11}\\=\frac{44}{77}+\frac{70}{77}\\=\frac{44+70}{77}\\=\frac{114}{77}\)
2. \(-\left(\frac{6}{-7}\right)+\left(\frac{3}{2}\right)\\= \frac{6}{7}+\frac{3}{2}\\=\frac{12}{14}+\frac{21}{14}\\=\frac{12+21}{14}\\=\frac{33}{14}\)
3. \(-\left(\frac{4}{3}\right)+\left(\frac{-9}{10}\right)\\= \frac{-4}{3}-\frac{9}{10}\\=\frac{-40}{30}-\frac{27}{30}\\=\frac{-40-27}{30}\\=\frac{-67}{30}\)
4. \(+\left(\frac{6}{13}\right)+\left(\frac{-5}{-2}\right)\\= \frac{6}{13}+\frac{5}{2}\\=\frac{12}{26}+\frac{65}{26}\\=\frac{12+65}{26}\\=\frac{77}{26}\)
5. \(-\left(\frac{4}{-11}\right)-\left(\frac{-2}{5}\right)\\= \frac{4}{11}+\frac{2}{5}\\=\frac{20}{55}+\frac{22}{55}\\=\frac{20+22}{55}\\=\frac{42}{55}\)
6. \(+\left(\frac{11}{-14}\right)-\left(\frac{-4}{-13}\right)\\= \frac{-11}{14}-\frac{4}{13}\\=\frac{-143}{182}-\frac{56}{182}\\=\frac{-143-56}{182}\\=\frac{-199}{182}\)
7. \(-\left(\frac{-5}{-13}\right)+\left(\frac{-13}{2}\right)\\= \frac{-5}{13}-\frac{13}{2}\\=\frac{-10}{26}-\frac{169}{26}\\=\frac{-10-169}{26}\\=\frac{-179}{26}\)
8. \(+\left(\frac{-4}{-11}\right)+\left(\frac{5}{2}\right)\\= \frac{4}{11}+\frac{5}{2}\\=\frac{8}{22}+\frac{55}{22}\\=\frac{8+55}{22}\\=\frac{63}{22}\)
9. \(+\left(\frac{-11}{4}\right)+\left(\frac{12}{-11}\right)\\= \frac{-11}{4}-\frac{12}{11}\\=\frac{-121}{44}-\frac{48}{44}\\=\frac{-121-48}{44}\\=\frac{-169}{44}\)
10. \(-\left(\frac{-14}{-3}\right)+\left(\frac{-9}{-11}\right)\\= \frac{-14}{3}+\frac{9}{11}\\=\frac{-154}{33}+\frac{27}{33}\\=\frac{-154+27}{33}\\=\frac{-127}{33}\)
11. \(+\left(\frac{12}{-5}\right)+\left(\frac{6}{11}\right)\\= \frac{-12}{5}+\frac{6}{11}\\=\frac{-132}{55}+\frac{30}{55}\\=\frac{-132+30}{55}\\=\frac{-102}{55}\)
12. \(-\left(\frac{-10}{-3}\right)-\left(\frac{6}{-5}\right)\\= \frac{-10}{3}+\frac{6}{5}\\=\frac{-50}{15}+\frac{18}{15}\\=\frac{-50+18}{15}\\=\frac{-32}{15}\)