Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{-2}\right)+\left(\frac{6}{5}\right)\\= \frac{3}{2}+\frac{6}{5}\\=\frac{15}{10}+\frac{12}{10}\\=\frac{15+12}{10}\\=\frac{27}{10}\)
2. \(-\left(\frac{2}{9}\right)-\left(\frac{12}{-7}\right)\\= \frac{-2}{9}+\frac{12}{7}\\=\frac{-14}{63}+\frac{108}{63}\\=\frac{-14+108}{63}\\=\frac{94}{63}\)
3. \(-\left(\frac{4}{-3}\right)-\left(\frac{2}{-9}\right)\\= \frac{4}{3}+\frac{2}{9}\\=\frac{12}{9}+\frac{2}{9}\\=\frac{12+2}{9}\\=\frac{14}{9}\)
4. \(+\left(\frac{11}{-2}\right)-\left(\frac{10}{-3}\right)\\= \frac{-11}{2}+\frac{10}{3}\\=\frac{-33}{6}+\frac{20}{6}\\=\frac{-33+20}{6}\\=\frac{-13}{6}\)
5. \(+\left(\frac{-14}{3}\right)+\left(\frac{5}{-6}\right)\\= \frac{-14}{3}-\frac{5}{6}\\=\frac{-28}{6}-\frac{5}{6}\\=\frac{-28-5}{6}\\=\frac{-33}{6}\\=\frac{-11}{2}\)
6. \(-\left(\frac{9}{-4}\right)-\left(\frac{10}{-7}\right)\\= \frac{9}{4}+\frac{10}{7}\\=\frac{63}{28}+\frac{40}{28}\\=\frac{63+40}{28}\\=\frac{103}{28}\)
7. \(-\left(\frac{3}{-11}\right)-\left(\frac{-14}{9}\right)\\= \frac{3}{11}+\frac{14}{9}\\=\frac{27}{99}+\frac{154}{99}\\=\frac{27+154}{99}\\=\frac{181}{99}\)
8. \(+\left(\frac{2}{-9}\right)+\left(\frac{7}{8}\right)\\= \frac{-2}{9}+\frac{7}{8}\\=\frac{-16}{72}+\frac{63}{72}\\=\frac{-16+63}{72}\\=\frac{47}{72}\)
9. \(+\left(\frac{-4}{-3}\right)+\left(\frac{-9}{4}\right)\\= \frac{4}{3}-\frac{9}{4}\\=\frac{16}{12}-\frac{27}{12}\\=\frac{16-27}{12}\\=\frac{-11}{12}\)
10. \(+\left(\frac{-11}{-7}\right)-\left(\frac{-11}{8}\right)\\= \frac{11}{7}+\frac{11}{8}\\=\frac{88}{56}+\frac{77}{56}\\=\frac{88+77}{56}\\=\frac{165}{56}\)
11. \(-\left(\frac{6}{11}\right)+\left(\frac{-8}{11}\right)\\= \frac{-6}{11}-\frac{8}{11}\\=\frac{-6-8}{11}\\=\frac{-14}{11}\)
12. \(+\left(\frac{11}{13}\right)-\left(\frac{-5}{13}\right)\\= \frac{11}{13}+\frac{5}{13}\\=\frac{11+5}{13}\\=\frac{16}{13}\)