Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{-13}\right)-\left(\frac{-8}{-13}\right)\\= \frac{4}{13}-\frac{8}{13}\\=\frac{4-8}{13}\\=\frac{-4}{13}\)
2. \(+\left(\frac{-13}{2}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-13}{2}+\frac{14}{9}\\=\frac{-117}{18}+\frac{28}{18}\\=\frac{-117+28}{18}\\=\frac{-89}{18}\)
3. \(+\left(\frac{-5}{-9}\right)-\left(\frac{-8}{9}\right)\\= \frac{5}{9}+\frac{8}{9}\\=\frac{5+8}{9}\\=\frac{13}{9}\)
4. \(-\left(\frac{11}{4}\right)-\left(\frac{6}{-5}\right)\\= \frac{-11}{4}+\frac{6}{5}\\=\frac{-55}{20}+\frac{24}{20}\\=\frac{-55+24}{20}\\=\frac{-31}{20}\)
5. \(+\left(\frac{2}{-3}\right)+\left(\frac{-13}{-9}\right)\\= \frac{-2}{3}+\frac{13}{9}\\=\frac{-6}{9}+\frac{13}{9}\\=\frac{-6+13}{9}\\=\frac{7}{9}\)
6. \(+\left(\frac{15}{-7}\right)+\left(\frac{-7}{-5}\right)\\= \frac{-15}{7}+\frac{7}{5}\\=\frac{-75}{35}+\frac{49}{35}\\=\frac{-75+49}{35}\\=\frac{-26}{35}\)
7. \(+\left(\frac{12}{-11}\right)+\left(\frac{11}{-9}\right)\\= \frac{-12}{11}-\frac{11}{9}\\=\frac{-108}{99}-\frac{121}{99}\\=\frac{-108-121}{99}\\=\frac{-229}{99}\)
8. \(-\left(\frac{-7}{2}\right)-\left(\frac{15}{8}\right)\\= \frac{7}{2}-\frac{15}{8}\\=\frac{28}{8}-\frac{15}{8}\\=\frac{28-15}{8}\\=\frac{13}{8}\)
9. \(+\left(\frac{-2}{3}\right)+\left(\frac{-9}{2}\right)\\= \frac{-2}{3}-\frac{9}{2}\\=\frac{-4}{6}-\frac{27}{6}\\=\frac{-4-27}{6}\\=\frac{-31}{6}\)
10. \(+\left(\frac{6}{11}\right)-\left(\frac{12}{-5}\right)\\= \frac{6}{11}+\frac{12}{5}\\=\frac{30}{55}+\frac{132}{55}\\=\frac{30+132}{55}\\=\frac{162}{55}\)
11. \(-\left(\frac{12}{7}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-12}{7}+\frac{4}{3}\\=\frac{-36}{21}+\frac{28}{21}\\=\frac{-36+28}{21}\\=\frac{-8}{21}\)
12. \(-\left(\frac{13}{-12}\right)-\left(\frac{-15}{-2}\right)\\= \frac{13}{12}-\frac{15}{2}\\=\frac{13-15}{12}\\=\frac{-2}{12}\\=\frac{-1}{6}\)