Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{-9}\right)-\left(\frac{15}{-11}\right)\\= \frac{4}{9}+\frac{15}{11}\\=\frac{44}{99}+\frac{135}{99}\\=\frac{44+135}{99}\\=\frac{179}{99}\)
2. \(+\left(\frac{-6}{-5}\right)+\left(\frac{2}{13}\right)\\= \frac{6}{5}+\frac{2}{13}\\=\frac{78}{65}+\frac{10}{65}\\=\frac{78+10}{65}\\=\frac{88}{65}\)
3. \(+\left(\frac{-2}{5}\right)+\left(\frac{3}{5}\right)\\= \frac{-2}{5}+\frac{3}{5}\\=\frac{-2+3}{5}\\=\frac{1}{5}\)
4. \(-\left(\frac{-2}{11}\right)+\left(\frac{12}{5}\right)\\= \frac{2}{11}+\frac{12}{5}\\=\frac{10}{55}+\frac{132}{55}\\=\frac{10+132}{55}\\=\frac{142}{55}\)
5. \(-\left(\frac{-10}{-13}\right)-\left(\frac{-10}{3}\right)\\= \frac{-10}{13}+\frac{10}{3}\\=\frac{-30}{39}+\frac{130}{39}\\=\frac{-30+130}{39}\\=\frac{100}{39}\)
6. \(+\left(\frac{-8}{-11}\right)-\left(\frac{-9}{10}\right)\\= \frac{8}{11}+\frac{9}{10}\\=\frac{80}{110}+\frac{99}{110}\\=\frac{80+99}{110}\\=\frac{179}{110}\)
7. \(+\left(\frac{-15}{13}\right)-\left(\frac{7}{11}\right)\\= \frac{-15}{13}-\frac{7}{11}\\=\frac{-165}{143}-\frac{91}{143}\\=\frac{-165-91}{143}\\=\frac{-256}{143}\)
8. \(-\left(\frac{15}{11}\right)-\left(\frac{-3}{-2}\right)\\= \frac{-15}{11}-\frac{3}{2}\\=\frac{-30}{22}-\frac{33}{22}\\=\frac{-30-33}{22}\\=\frac{-63}{22}\)
9. \(+\left(\frac{7}{-2}\right)+\left(\frac{14}{11}\right)\\= \frac{-7}{2}+\frac{14}{11}\\=\frac{-77}{22}+\frac{28}{22}\\=\frac{-77+28}{22}\\=\frac{-49}{22}\)
10. \(-\left(\frac{-9}{11}\right)+\left(\frac{7}{-2}\right)\\= \frac{9}{11}-\frac{7}{2}\\=\frac{18}{22}-\frac{77}{22}\\=\frac{18-77}{22}\\=\frac{-59}{22}\)
11. \(+\left(\frac{7}{2}\right)-\left(\frac{-7}{-8}\right)\\= \frac{7}{2}-\frac{7}{8}\\=\frac{28}{8}-\frac{7}{8}\\=\frac{28-7}{8}\\=\frac{21}{8}\)
12. \(-\left(\frac{-4}{-3}\right)-\left(\frac{-15}{2}\right)\\= \frac{-4}{3}+\frac{15}{2}\\=\frac{-8}{6}+\frac{45}{6}\\=\frac{-8+45}{6}\\=\frac{37}{6}\)