Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-4}{-9}\right)-\left(\frac{-7}{-4}\right)\\= \frac{-4}{9}-\frac{7}{4}\\=\frac{-16}{36}-\frac{63}{36}\\=\frac{-16-63}{36}\\=\frac{-79}{36}\)
2. \(+\left(\frac{14}{9}\right)+\left(\frac{5}{2}\right)\\= \frac{14}{9}+\frac{5}{2}\\=\frac{28}{18}+\frac{45}{18}\\=\frac{28+45}{18}\\=\frac{73}{18}\)
3. \(+\left(\frac{2}{13}\right)+\left(\frac{13}{-11}\right)\\= \frac{2}{13}-\frac{13}{11}\\=\frac{22}{143}-\frac{169}{143}\\=\frac{22-169}{143}\\=\frac{-147}{143}\)
4. \(+\left(\frac{-8}{5}\right)-\left(\frac{-13}{-7}\right)\\= \frac{-8}{5}-\frac{13}{7}\\=\frac{-56}{35}-\frac{65}{35}\\=\frac{-56-65}{35}\\=\frac{-121}{35}\)
5. \(+\left(\frac{-14}{5}\right)+\left(\frac{2}{11}\right)\\= \frac{-14}{5}+\frac{2}{11}\\=\frac{-154}{55}+\frac{10}{55}\\=\frac{-154+10}{55}\\=\frac{-144}{55}\)
6. \(-\left(\frac{-7}{-8}\right)+\left(\frac{7}{-3}\right)\\= \frac{-7}{8}-\frac{7}{3}\\=\frac{-21}{24}-\frac{56}{24}\\=\frac{-21-56}{24}\\=\frac{-77}{24}\)
7. \(-\left(\frac{15}{-13}\right)+\left(\frac{6}{-13}\right)\\= \frac{15}{13}-\frac{6}{13}\\=\frac{15-6}{13}\\=\frac{9}{13}\)
8. \(+\left(\frac{13}{-8}\right)-\left(\frac{11}{-2}\right)\\= \frac{-13}{8}+\frac{11}{2}\\=\frac{-13+11}{8}\\=\frac{-2}{8}\\=\frac{-1}{4}\)
9. \(+\left(\frac{-7}{-8}\right)-\left(\frac{-6}{5}\right)\\= \frac{7}{8}+\frac{6}{5}\\=\frac{35}{40}+\frac{48}{40}\\=\frac{35+48}{40}\\=\frac{83}{40}\)
10. \(-\left(\frac{9}{2}\right)-\left(\frac{-2}{-13}\right)\\= \frac{-9}{2}-\frac{2}{13}\\=\frac{-117}{26}-\frac{4}{26}\\=\frac{-117-4}{26}\\=\frac{-121}{26}\)
11. \(-\left(\frac{12}{11}\right)+\left(\frac{-2}{9}\right)\\= \frac{-12}{11}-\frac{2}{9}\\=\frac{-108}{99}-\frac{22}{99}\\=\frac{-108-22}{99}\\=\frac{-130}{99}\)
12. \(+\left(\frac{-7}{-13}\right)-\left(\frac{-13}{-11}\right)\\= \frac{7}{13}-\frac{13}{11}\\=\frac{77}{143}-\frac{169}{143}\\=\frac{77-169}{143}\\=\frac{-92}{143}\)