Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{12}{13}\right)+\left(\frac{-8}{13}\right)\\= \frac{-12}{13}-\frac{8}{13}\\=\frac{-12-8}{13}\\=\frac{-20}{13}\)
2. \(-\left(\frac{7}{13}\right)+\left(\frac{-13}{8}\right)\\= \frac{-7}{13}-\frac{13}{8}\\=\frac{-56}{104}-\frac{169}{104}\\=\frac{-56-169}{104}\\=\frac{-225}{104}\)
3. \(-\left(\frac{7}{-13}\right)+\left(\frac{-3}{2}\right)\\= \frac{7}{13}-\frac{3}{2}\\=\frac{14}{26}-\frac{39}{26}\\=\frac{14-39}{26}\\=\frac{-25}{26}\)
4. \(-\left(\frac{4}{9}\right)-\left(\frac{7}{8}\right)\\= \frac{-4}{9}-\frac{7}{8}\\=\frac{-32}{72}-\frac{63}{72}\\=\frac{-32-63}{72}\\=\frac{-95}{72}\)
5. \(+\left(\frac{8}{-3}\right)+\left(\frac{-8}{7}\right)\\= \frac{-8}{3}-\frac{8}{7}\\=\frac{-56}{21}-\frac{24}{21}\\=\frac{-56-24}{21}\\=\frac{-80}{21}\)
6. \(+\left(\frac{-15}{-7}\right)-\left(\frac{-14}{-3}\right)\\= \frac{15}{7}-\frac{14}{3}\\=\frac{45}{21}-\frac{98}{21}\\=\frac{45-98}{21}\\=\frac{-53}{21}\)
7. \(-\left(\frac{-8}{-11}\right)-\left(\frac{6}{7}\right)\\= \frac{-8}{11}-\frac{6}{7}\\=\frac{-56}{77}-\frac{66}{77}\\=\frac{-56-66}{77}\\=\frac{-122}{77}\)
8. \(-\left(\frac{-12}{-5}\right)-\left(\frac{10}{-13}\right)\\= \frac{-12}{5}+\frac{10}{13}\\=\frac{-156}{65}+\frac{50}{65}\\=\frac{-156+50}{65}\\=\frac{-106}{65}\)
9. \(-\left(\frac{14}{13}\right)-\left(\frac{-14}{-9}\right)\\= \frac{-14}{13}-\frac{14}{9}\\=\frac{-126}{117}-\frac{182}{117}\\=\frac{-126-182}{117}\\=\frac{-308}{117}\)
10. \(-\left(\frac{10}{-3}\right)-\left(\frac{5}{2}\right)\\= \frac{10}{3}-\frac{5}{2}\\=\frac{20}{6}-\frac{15}{6}\\=\frac{20-15}{6}\\=\frac{5}{6}\)
11. \(+\left(\frac{15}{4}\right)-\left(\frac{-10}{11}\right)\\= \frac{15}{4}+\frac{10}{11}\\=\frac{165}{44}+\frac{40}{44}\\=\frac{165+40}{44}\\=\frac{205}{44}\)
12. \(+\left(\frac{-11}{4}\right)+\left(\frac{2}{3}\right)\\= \frac{-11}{4}+\frac{2}{3}\\=\frac{-33}{12}+\frac{8}{12}\\=\frac{-33+8}{12}\\=\frac{-25}{12}\)