Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{11}\right)-\left(\frac{-2}{7}\right)\\= \frac{2}{11}+\frac{2}{7}\\=\frac{14}{77}+\frac{22}{77}\\=\frac{14+22}{77}\\=\frac{36}{77}\)
2. \(-\left(\frac{-4}{11}\right)+\left(\frac{13}{-12}\right)\\= \frac{4}{11}-\frac{13}{12}\\=\frac{48}{132}-\frac{143}{132}\\=\frac{48-143}{132}\\=\frac{-95}{132}\)
3. \(-\left(\frac{8}{-7}\right)-\left(\frac{-6}{-11}\right)\\= \frac{8}{7}-\frac{6}{11}\\=\frac{88}{77}-\frac{42}{77}\\=\frac{88-42}{77}\\=\frac{46}{77}\)
4. \(-\left(\frac{-10}{-3}\right)-\left(\frac{4}{-9}\right)\\= \frac{-10}{3}+\frac{4}{9}\\=\frac{-30}{9}+\frac{4}{9}\\=\frac{-30+4}{9}\\=\frac{-26}{9}\)
5. \(+\left(\frac{11}{-6}\right)+\left(\frac{9}{7}\right)\\= \frac{-11}{6}+\frac{9}{7}\\=\frac{-77}{42}+\frac{54}{42}\\=\frac{-77+54}{42}\\=\frac{-23}{42}\)
6. \(+\left(\frac{-13}{12}\right)+\left(\frac{-10}{-13}\right)\\= \frac{-13}{12}+\frac{10}{13}\\=\frac{-169}{156}+\frac{120}{156}\\=\frac{-169+120}{156}\\=\frac{-49}{156}\)
7. \(-\left(\frac{7}{2}\right)+\left(\frac{-5}{12}\right)\\= \frac{-7}{2}-\frac{5}{12}\\=\frac{-42}{12}-\frac{5}{12}\\=\frac{-42-5}{12}\\=\frac{-47}{12}\)
8. \(+\left(\frac{3}{11}\right)-\left(\frac{-8}{5}\right)\\= \frac{3}{11}+\frac{8}{5}\\=\frac{15}{55}+\frac{88}{55}\\=\frac{15+88}{55}\\=\frac{103}{55}\)
9. \(+\left(\frac{9}{-13}\right)-\left(\frac{-5}{-11}\right)\\= \frac{-9}{13}-\frac{5}{11}\\=\frac{-99}{143}-\frac{65}{143}\\=\frac{-99-65}{143}\\=\frac{-164}{143}\)
10. \(-\left(\frac{15}{11}\right)+\left(\frac{6}{13}\right)\\= \frac{-15}{11}+\frac{6}{13}\\=\frac{-195}{143}+\frac{66}{143}\\=\frac{-195+66}{143}\\=\frac{-129}{143}\)
11. \(+\left(\frac{-9}{-4}\right)+\left(\frac{3}{-10}\right)\\= \frac{9}{4}-\frac{3}{10}\\=\frac{45}{20}-\frac{6}{20}\\=\frac{45-6}{20}\\=\frac{39}{20}\)
12. \(+\left(\frac{15}{7}\right)-\left(\frac{-2}{-5}\right)\\= \frac{15}{7}-\frac{2}{5}\\=\frac{75}{35}-\frac{14}{35}\\=\frac{75-14}{35}\\=\frac{61}{35}\)