Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{7}{13}\right)+\left(\frac{-5}{-8}\right)\\= \frac{-7}{13}+\frac{5}{8}\\=\frac{-56}{104}+\frac{65}{104}\\=\frac{-56+65}{104}\\=\frac{9}{104}\)
2. \(-\left(\frac{2}{-3}\right)+\left(\frac{11}{7}\right)\\= \frac{2}{3}+\frac{11}{7}\\=\frac{14}{21}+\frac{33}{21}\\=\frac{14+33}{21}\\=\frac{47}{21}\)
3. \(-\left(\frac{-13}{-8}\right)+\left(\frac{6}{5}\right)\\= \frac{-13}{8}+\frac{6}{5}\\=\frac{-65}{40}+\frac{48}{40}\\=\frac{-65+48}{40}\\=\frac{-17}{40}\)
4. \(-\left(\frac{13}{6}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-13}{6}-\frac{13}{2}\\=\frac{-13-13}{6}\\=\frac{-26}{6}\\=\frac{-13}{3}\)
5. \(+\left(\frac{10}{-11}\right)+\left(\frac{6}{-11}\right)\\= \frac{-10}{11}-\frac{6}{11}\\=\frac{-10-6}{11}\\=\frac{-16}{11}\)
6. \(-\left(\frac{14}{9}\right)+\left(\frac{7}{-3}\right)\\= \frac{-14}{9}-\frac{7}{3}\\=\frac{-14-7}{9}\\=\frac{-21}{9}\\=\frac{-7}{3}\)
7. \(+\left(\frac{10}{-7}\right)+\left(\frac{7}{-11}\right)\\= \frac{-10}{7}-\frac{7}{11}\\=\frac{-110}{77}-\frac{49}{77}\\=\frac{-110-49}{77}\\=\frac{-159}{77}\)
8. \(+\left(\frac{3}{-7}\right)+\left(\frac{-3}{7}\right)\\= \frac{-3}{7}-\frac{3}{7}\\=\frac{-3-3}{7}\\=\frac{-6}{7}\)
9. \(+\left(\frac{15}{4}\right)-\left(\frac{9}{4}\right)\\= \frac{15}{4}-\frac{9}{4}\\=\frac{15-9}{4}\\=\frac{6}{4}\\=\frac{3}{2}\)
10. \(-\left(\frac{-2}{5}\right)-\left(\frac{-14}{13}\right)\\= \frac{2}{5}+\frac{14}{13}\\=\frac{26}{65}+\frac{70}{65}\\=\frac{26+70}{65}\\=\frac{96}{65}\)
11. \(+\left(\frac{-8}{-9}\right)+\left(\frac{-8}{13}\right)\\= \frac{8}{9}-\frac{8}{13}\\=\frac{104}{117}-\frac{72}{117}\\=\frac{104-72}{117}\\=\frac{32}{117}\)
12. \(+\left(\frac{12}{11}\right)+\left(\frac{-11}{9}\right)\\= \frac{12}{11}-\frac{11}{9}\\=\frac{108}{99}-\frac{121}{99}\\=\frac{108-121}{99}\\=\frac{-13}{99}\)