Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-6}{-11}\right)-\left(\frac{2}{-5}\right)\\= \frac{6}{11}+\frac{2}{5}\\=\frac{30}{55}+\frac{22}{55}\\=\frac{30+22}{55}\\=\frac{52}{55}\)
2. \(+\left(\frac{-5}{4}\right)-\left(\frac{-13}{6}\right)\\= \frac{-5}{4}+\frac{13}{6}\\=\frac{-15}{12}+\frac{26}{12}\\=\frac{-15+26}{12}\\=\frac{11}{12}\)
3. \(+\left(\frac{-5}{-2}\right)+\left(\frac{3}{-5}\right)\\= \frac{5}{2}-\frac{3}{5}\\=\frac{25}{10}-\frac{6}{10}\\=\frac{25-6}{10}\\=\frac{19}{10}\)
4. \(+\left(\frac{-10}{-7}\right)-\left(\frac{4}{-9}\right)\\= \frac{10}{7}+\frac{4}{9}\\=\frac{90}{63}+\frac{28}{63}\\=\frac{90+28}{63}\\=\frac{118}{63}\)
5. \(+\left(\frac{-3}{11}\right)-\left(\frac{2}{3}\right)\\= \frac{-3}{11}-\frac{2}{3}\\=\frac{-9}{33}-\frac{22}{33}\\=\frac{-9-22}{33}\\=\frac{-31}{33}\)
6. \(+\left(\frac{-11}{-4}\right)-\left(\frac{2}{-3}\right)\\= \frac{11}{4}+\frac{2}{3}\\=\frac{33}{12}+\frac{8}{12}\\=\frac{33+8}{12}\\=\frac{41}{12}\)
7. \(+\left(\frac{13}{-11}\right)-\left(\frac{4}{13}\right)\\= \frac{-13}{11}-\frac{4}{13}\\=\frac{-169}{143}-\frac{44}{143}\\=\frac{-169-44}{143}\\=\frac{-213}{143}\)
8. \(-\left(\frac{-6}{7}\right)+\left(\frac{-11}{6}\right)\\= \frac{6}{7}-\frac{11}{6}\\=\frac{36}{42}-\frac{77}{42}\\=\frac{36-77}{42}\\=\frac{-41}{42}\)
9. \(-\left(\frac{-4}{-3}\right)+\left(\frac{13}{-14}\right)\\= \frac{-4}{3}-\frac{13}{14}\\=\frac{-56}{42}-\frac{39}{42}\\=\frac{-56-39}{42}\\=\frac{-95}{42}\)
10. \(+\left(\frac{13}{-5}\right)-\left(\frac{5}{-4}\right)\\= \frac{-13}{5}+\frac{5}{4}\\=\frac{-52}{20}+\frac{25}{20}\\=\frac{-52+25}{20}\\=\frac{-27}{20}\)
11. \(-\left(\frac{-13}{8}\right)+\left(\frac{-10}{7}\right)\\= \frac{13}{8}-\frac{10}{7}\\=\frac{91}{56}-\frac{80}{56}\\=\frac{91-80}{56}\\=\frac{11}{56}\)
12. \(+\left(\frac{6}{-5}\right)+\left(\frac{9}{-11}\right)\\= \frac{-6}{5}-\frac{9}{11}\\=\frac{-66}{55}-\frac{45}{55}\\=\frac{-66-45}{55}\\=\frac{-111}{55}\)