Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{-5}\right)+\left(\frac{9}{13}\right)\\= \frac{-11}{5}+\frac{9}{13}\\=\frac{-143}{65}+\frac{45}{65}\\=\frac{-143+45}{65}\\=\frac{-98}{65}\)
2. \(+\left(\frac{-11}{-12}\right)+\left(\frac{-15}{-4}\right)\\= \frac{11}{12}+\frac{15}{4}\\=\frac{11+15}{12}\\=\frac{26}{12}\\=\frac{13}{6}\)
3. \(-\left(\frac{-12}{-7}\right)+\left(\frac{11}{6}\right)\\= \frac{-12}{7}+\frac{11}{6}\\=\frac{-72}{42}+\frac{77}{42}\\=\frac{-72+77}{42}\\=\frac{5}{42}\)
4. \(-\left(\frac{-9}{-7}\right)+\left(\frac{15}{2}\right)\\= \frac{-9}{7}+\frac{15}{2}\\=\frac{-18}{14}+\frac{105}{14}\\=\frac{-18+105}{14}\\=\frac{87}{14}\)
5. \(+\left(\frac{9}{8}\right)+\left(\frac{-2}{-13}\right)\\= \frac{9}{8}+\frac{2}{13}\\=\frac{117}{104}+\frac{16}{104}\\=\frac{117+16}{104}\\=\frac{133}{104}\)
6. \(+\left(\frac{-9}{-2}\right)-\left(\frac{5}{6}\right)\\= \frac{9}{2}-\frac{5}{6}\\=\frac{27}{6}-\frac{5}{6}\\=\frac{27-5}{6}\\=\frac{22}{6}\\=\frac{11}{3}\)
7. \(-\left(\frac{2}{3}\right)-\left(\frac{9}{13}\right)\\= \frac{-2}{3}-\frac{9}{13}\\=\frac{-26}{39}-\frac{27}{39}\\=\frac{-26-27}{39}\\=\frac{-53}{39}\)
8. \(-\left(\frac{-4}{3}\right)-\left(\frac{15}{7}\right)\\= \frac{4}{3}-\frac{15}{7}\\=\frac{28}{21}-\frac{45}{21}\\=\frac{28-45}{21}\\=\frac{-17}{21}\)
9. \(+\left(\frac{-15}{-13}\right)-\left(\frac{14}{13}\right)\\= \frac{15}{13}-\frac{14}{13}\\=\frac{15-14}{13}\\=\frac{1}{13}\)
10. \(-\left(\frac{13}{10}\right)+\left(\frac{4}{-3}\right)\\= \frac{-13}{10}-\frac{4}{3}\\=\frac{-39}{30}-\frac{40}{30}\\=\frac{-39-40}{30}\\=\frac{-79}{30}\)
11. \(-\left(\frac{-13}{-8}\right)+\left(\frac{-11}{-7}\right)\\= \frac{-13}{8}+\frac{11}{7}\\=\frac{-91}{56}+\frac{88}{56}\\=\frac{-91+88}{56}\\=\frac{-3}{56}\)
12. \(-\left(\frac{14}{9}\right)+\left(\frac{12}{13}\right)\\= \frac{-14}{9}+\frac{12}{13}\\=\frac{-182}{117}+\frac{108}{117}\\=\frac{-182+108}{117}\\=\frac{-74}{117}\)