Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{5}\right)+\left(\frac{-2}{5}\right)\\= \frac{12}{5}-\frac{2}{5}\\=\frac{12-2}{5}\\=\frac{10}{5}\\=\frac{2}{1}\)
2. \(-\left(\frac{-14}{-9}\right)-\left(\frac{-4}{11}\right)\\= \frac{-14}{9}+\frac{4}{11}\\=\frac{-154}{99}+\frac{36}{99}\\=\frac{-154+36}{99}\\=\frac{-118}{99}\)
3. \(+\left(\frac{14}{11}\right)+\left(\frac{-14}{3}\right)\\= \frac{14}{11}-\frac{14}{3}\\=\frac{42}{33}-\frac{154}{33}\\=\frac{42-154}{33}\\=\frac{-112}{33}\)
4. \(+\left(\frac{14}{5}\right)+\left(\frac{8}{-3}\right)\\= \frac{14}{5}-\frac{8}{3}\\=\frac{42}{15}-\frac{40}{15}\\=\frac{42-40}{15}\\=\frac{2}{15}\)
5. \(-\left(\frac{6}{5}\right)-\left(\frac{-4}{13}\right)\\= \frac{-6}{5}+\frac{4}{13}\\=\frac{-78}{65}+\frac{20}{65}\\=\frac{-78+20}{65}\\=\frac{-58}{65}\)
6. \(-\left(\frac{11}{6}\right)-\left(\frac{2}{-11}\right)\\= \frac{-11}{6}+\frac{2}{11}\\=\frac{-121}{66}+\frac{12}{66}\\=\frac{-121+12}{66}\\=\frac{-109}{66}\)
7. \(-\left(\frac{5}{6}\right)+\left(\frac{-6}{11}\right)\\= \frac{-5}{6}-\frac{6}{11}\\=\frac{-55}{66}-\frac{36}{66}\\=\frac{-55-36}{66}\\=\frac{-91}{66}\)
8. \(+\left(\frac{4}{3}\right)+\left(\frac{-4}{3}\right)\\= \frac{4}{3}-\frac{4}{3}\\=\frac{4-4}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)
9. \(+\left(\frac{8}{-7}\right)+\left(\frac{5}{11}\right)\\= \frac{-8}{7}+\frac{5}{11}\\=\frac{-88}{77}+\frac{35}{77}\\=\frac{-88+35}{77}\\=\frac{-53}{77}\)
10. \(-\left(\frac{6}{-11}\right)-\left(\frac{-13}{-11}\right)\\= \frac{6}{11}-\frac{13}{11}\\=\frac{6-13}{11}\\=\frac{-7}{11}\)
11. \(+\left(\frac{-13}{-2}\right)-\left(\frac{-7}{4}\right)\\= \frac{13}{2}+\frac{7}{4}\\=\frac{26}{4}+\frac{7}{4}\\=\frac{26+7}{4}\\=\frac{33}{4}\)
12. \(-\left(\frac{12}{7}\right)-\left(\frac{14}{3}\right)\\= \frac{-12}{7}-\frac{14}{3}\\=\frac{-36}{21}-\frac{98}{21}\\=\frac{-36-98}{21}\\=\frac{-134}{21}\)