Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{14}{-9}\right)+\left(\frac{-7}{-13}\right)\\= \frac{-14}{9}+\frac{7}{13}\\=\frac{-182}{117}+\frac{63}{117}\\=\frac{-182+63}{117}\\=\frac{-119}{117}\)
2. \(-\left(\frac{-4}{3}\right)-\left(\frac{-12}{-5}\right)\\= \frac{4}{3}-\frac{12}{5}\\=\frac{20}{15}-\frac{36}{15}\\=\frac{20-36}{15}\\=\frac{-16}{15}\)
3. \(+\left(\frac{8}{11}\right)+\left(\frac{-5}{-8}\right)\\= \frac{8}{11}+\frac{5}{8}\\=\frac{64}{88}+\frac{55}{88}\\=\frac{64+55}{88}\\=\frac{119}{88}\)
4. \(+\left(\frac{13}{2}\right)-\left(\frac{12}{5}\right)\\= \frac{13}{2}-\frac{12}{5}\\=\frac{65}{10}-\frac{24}{10}\\=\frac{65-24}{10}\\=\frac{41}{10}\)
5. \(+\left(\frac{7}{12}\right)-\left(\frac{11}{9}\right)\\= \frac{7}{12}-\frac{11}{9}\\=\frac{21}{36}-\frac{44}{36}\\=\frac{21-44}{36}\\=\frac{-23}{36}\)
6. \(+\left(\frac{13}{4}\right)-\left(\frac{-10}{9}\right)\\= \frac{13}{4}+\frac{10}{9}\\=\frac{117}{36}+\frac{40}{36}\\=\frac{117+40}{36}\\=\frac{157}{36}\)
7. \(-\left(\frac{-6}{7}\right)+\left(\frac{-6}{-11}\right)\\= \frac{6}{7}+\frac{6}{11}\\=\frac{66}{77}+\frac{42}{77}\\=\frac{66+42}{77}\\=\frac{108}{77}\)
8. \(+\left(\frac{-11}{10}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-11}{10}-\frac{6}{5}\\=\frac{-11-6}{10}\\=\frac{-17}{10}\)
9. \(-\left(\frac{4}{-13}\right)+\left(\frac{13}{-2}\right)\\= \frac{4}{13}-\frac{13}{2}\\=\frac{8}{26}-\frac{169}{26}\\=\frac{8-169}{26}\\=\frac{-161}{26}\)
10. \(+\left(\frac{8}{7}\right)+\left(\frac{7}{4}\right)\\= \frac{8}{7}+\frac{7}{4}\\=\frac{32}{28}+\frac{49}{28}\\=\frac{32+49}{28}\\=\frac{81}{28}\)
11. \(-\left(\frac{5}{8}\right)-\left(\frac{6}{7}\right)\\= \frac{-5}{8}-\frac{6}{7}\\=\frac{-35}{56}-\frac{48}{56}\\=\frac{-35-48}{56}\\=\frac{-83}{56}\)
12. \(-\left(\frac{-7}{11}\right)+\left(\frac{-14}{-11}\right)\\= \frac{7}{11}+\frac{14}{11}\\=\frac{7+14}{11}\\=\frac{21}{11}\)