Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{3}{-5}\right)-\left(\frac{13}{8}\right)\\= \frac{-3}{5}-\frac{13}{8}\\=\frac{-24}{40}-\frac{65}{40}\\=\frac{-24-65}{40}\\=\frac{-89}{40}\)
2. \(-\left(\frac{4}{-5}\right)+\left(\frac{12}{-5}\right)\\= \frac{4}{5}-\frac{12}{5}\\=\frac{4-12}{5}\\=\frac{-8}{5}\)
3. \(+\left(\frac{-15}{-4}\right)-\left(\frac{7}{11}\right)\\= \frac{15}{4}-\frac{7}{11}\\=\frac{165}{44}-\frac{28}{44}\\=\frac{165-28}{44}\\=\frac{137}{44}\)
4. \(+\left(\frac{13}{-7}\right)+\left(\frac{-2}{-7}\right)\\= \frac{-13}{7}+\frac{2}{7}\\=\frac{-13+2}{7}\\=\frac{-11}{7}\)
5. \(-\left(\frac{-13}{-14}\right)+\left(\frac{11}{12}\right)\\= \frac{-13}{14}+\frac{11}{12}\\=\frac{-78}{84}+\frac{77}{84}\\=\frac{-78+77}{84}\\=\frac{-1}{84}\)
6. \(+\left(\frac{6}{-5}\right)-\left(\frac{13}{-2}\right)\\= \frac{-6}{5}+\frac{13}{2}\\=\frac{-12}{10}+\frac{65}{10}\\=\frac{-12+65}{10}\\=\frac{53}{10}\)
7. \(+\left(\frac{4}{9}\right)-\left(\frac{7}{-3}\right)\\= \frac{4}{9}+\frac{7}{3}\\=\frac{4+7}{9}\\=\frac{11}{9}\)
8. \(+\left(\frac{2}{9}\right)+\left(\frac{-14}{-9}\right)\\= \frac{2}{9}+\frac{14}{9}\\=\frac{2+14}{9}\\=\frac{16}{9}\)
9. \(+\left(\frac{12}{7}\right)+\left(\frac{10}{9}\right)\\= \frac{12}{7}+\frac{10}{9}\\=\frac{108}{63}+\frac{70}{63}\\=\frac{108+70}{63}\\=\frac{178}{63}\)
10. \(-\left(\frac{3}{7}\right)-\left(\frac{-5}{-2}\right)\\= \frac{-3}{7}-\frac{5}{2}\\=\frac{-6}{14}-\frac{35}{14}\\=\frac{-6-35}{14}\\=\frac{-41}{14}\)
11. \(+\left(\frac{11}{12}\right)+\left(\frac{-4}{-3}\right)\\= \frac{11}{12}+\frac{4}{3}\\=\frac{11+4}{12}\\=\frac{15}{12}\\=\frac{5}{4}\)
12. \(+\left(\frac{-2}{-9}\right)+\left(\frac{-9}{13}\right)\\= \frac{2}{9}-\frac{9}{13}\\=\frac{26}{117}-\frac{81}{117}\\=\frac{26-81}{117}\\=\frac{-55}{117}\)