Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{-2}\right)-\left(\frac{-11}{2}\right)\\= \frac{15}{2}+\frac{11}{2}\\=\frac{15+11}{2}\\=\frac{26}{2}\\=\frac{13}{1}\)
2. \(-\left(\frac{-6}{-7}\right)-\left(\frac{-4}{-9}\right)\\= \frac{-6}{7}-\frac{4}{9}\\=\frac{-54}{63}-\frac{28}{63}\\=\frac{-54-28}{63}\\=\frac{-82}{63}\)
3. \(+\left(\frac{13}{5}\right)+\left(\frac{-9}{11}\right)\\= \frac{13}{5}-\frac{9}{11}\\=\frac{143}{55}-\frac{45}{55}\\=\frac{143-45}{55}\\=\frac{98}{55}\)
4. \(-\left(\frac{-7}{-6}\right)-\left(\frac{-13}{-3}\right)\\= \frac{-7}{6}-\frac{13}{3}\\=\frac{-7-13}{6}\\=\frac{-20}{6}\\=\frac{-10}{3}\)
5. \(-\left(\frac{9}{-13}\right)+\left(\frac{9}{-10}\right)\\= \frac{9}{13}-\frac{9}{10}\\=\frac{90}{130}-\frac{117}{130}\\=\frac{90-117}{130}\\=\frac{-27}{130}\)
6. \(-\left(\frac{-8}{9}\right)+\left(\frac{9}{-10}\right)\\= \frac{8}{9}-\frac{9}{10}\\=\frac{80}{90}-\frac{81}{90}\\=\frac{80-81}{90}\\=\frac{-1}{90}\)
7. \(+\left(\frac{-11}{8}\right)-\left(\frac{-4}{-11}\right)\\= \frac{-11}{8}-\frac{4}{11}\\=\frac{-121}{88}-\frac{32}{88}\\=\frac{-121-32}{88}\\=\frac{-153}{88}\)
8. \(+\left(\frac{-9}{2}\right)+\left(\frac{-5}{8}\right)\\= \frac{-9}{2}-\frac{5}{8}\\=\frac{-36}{8}-\frac{5}{8}\\=\frac{-36-5}{8}\\=\frac{-41}{8}\)
9. \(+\left(\frac{2}{9}\right)+\left(\frac{13}{14}\right)\\= \frac{2}{9}+\frac{13}{14}\\=\frac{28}{126}+\frac{117}{126}\\=\frac{28+117}{126}\\=\frac{145}{126}\)
10. \(+\left(\frac{14}{3}\right)+\left(\frac{-2}{-11}\right)\\= \frac{14}{3}+\frac{2}{11}\\=\frac{154}{33}+\frac{6}{33}\\=\frac{154+6}{33}\\=\frac{160}{33}\)
11. \(-\left(\frac{-10}{-7}\right)+\left(\frac{-13}{-3}\right)\\= \frac{-10}{7}+\frac{13}{3}\\=\frac{-30}{21}+\frac{91}{21}\\=\frac{-30+91}{21}\\=\frac{61}{21}\)
12. \(+\left(\frac{13}{-4}\right)+\left(\frac{-7}{9}\right)\\= \frac{-13}{4}-\frac{7}{9}\\=\frac{-117}{36}-\frac{28}{36}\\=\frac{-117-28}{36}\\=\frac{-145}{36}\)