Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{9}{-11}\right)+\left(\frac{2}{13}\right)\\= \frac{-9}{11}+\frac{2}{13}\\=\frac{-117}{143}+\frac{22}{143}\\=\frac{-117+22}{143}\\=\frac{-95}{143}\)
2. \(-\left(\frac{14}{11}\right)-\left(\frac{-14}{-5}\right)\\= \frac{-14}{11}-\frac{14}{5}\\=\frac{-70}{55}-\frac{154}{55}\\=\frac{-70-154}{55}\\=\frac{-224}{55}\)
3. \(-\left(\frac{9}{-14}\right)-\left(\frac{-15}{-2}\right)\\= \frac{9}{14}-\frac{15}{2}\\=\frac{9-15}{14}\\=\frac{-6}{14}\\=\frac{-3}{7}\)
4. \(+\left(\frac{11}{-2}\right)+\left(\frac{2}{3}\right)\\= \frac{-11}{2}+\frac{2}{3}\\=\frac{-33}{6}+\frac{4}{6}\\=\frac{-33+4}{6}\\=\frac{-29}{6}\)
5. \(+\left(\frac{-12}{11}\right)-\left(\frac{-7}{2}\right)\\= \frac{-12}{11}+\frac{7}{2}\\=\frac{-24}{22}+\frac{77}{22}\\=\frac{-24+77}{22}\\=\frac{53}{22}\)
6. \(+\left(\frac{9}{-4}\right)-\left(\frac{14}{3}\right)\\= \frac{-9}{4}-\frac{14}{3}\\=\frac{-27}{12}-\frac{56}{12}\\=\frac{-27-56}{12}\\=\frac{-83}{12}\)
7. \(+\left(\frac{13}{12}\right)-\left(\frac{13}{-12}\right)\\= \frac{13}{12}+\frac{13}{12}\\=\frac{13+13}{12}\\=\frac{26}{12}\\=\frac{13}{6}\)
8. \(+\left(\frac{14}{-11}\right)-\left(\frac{-7}{3}\right)\\= \frac{-14}{11}+\frac{7}{3}\\=\frac{-42}{33}+\frac{77}{33}\\=\frac{-42+77}{33}\\=\frac{35}{33}\)
9. \(-\left(\frac{7}{8}\right)-\left(\frac{-2}{9}\right)\\= \frac{-7}{8}+\frac{2}{9}\\=\frac{-63}{72}+\frac{16}{72}\\=\frac{-63+16}{72}\\=\frac{-47}{72}\)
10. \(+\left(\frac{-2}{5}\right)+\left(\frac{14}{5}\right)\\= \frac{-2}{5}+\frac{14}{5}\\=\frac{-2+14}{5}\\=\frac{12}{5}\)
11. \(-\left(\frac{-2}{-3}\right)+\left(\frac{-15}{-11}\right)\\= \frac{-2}{3}+\frac{15}{11}\\=\frac{-22}{33}+\frac{45}{33}\\=\frac{-22+45}{33}\\=\frac{23}{33}\)
12. \(+\left(\frac{-4}{-3}\right)+\left(\frac{-10}{11}\right)\\= \frac{4}{3}-\frac{10}{11}\\=\frac{44}{33}-\frac{30}{33}\\=\frac{44-30}{33}\\=\frac{14}{33}\)