Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{13}\right)-\left(\frac{-8}{-7}\right)\\= \frac{12}{13}-\frac{8}{7}\\=\frac{84}{91}-\frac{104}{91}\\=\frac{84-104}{91}\\=\frac{-20}{91}\)
2. \(+\left(\frac{-4}{13}\right)+\left(\frac{-3}{13}\right)\\= \frac{-4}{13}-\frac{3}{13}\\=\frac{-4-3}{13}\\=\frac{-7}{13}\)
3. \(-\left(\frac{5}{4}\right)-\left(\frac{-10}{9}\right)\\= \frac{-5}{4}+\frac{10}{9}\\=\frac{-45}{36}+\frac{40}{36}\\=\frac{-45+40}{36}\\=\frac{-5}{36}\)
4. \(+\left(\frac{-9}{5}\right)+\left(\frac{15}{-11}\right)\\= \frac{-9}{5}-\frac{15}{11}\\=\frac{-99}{55}-\frac{75}{55}\\=\frac{-99-75}{55}\\=\frac{-174}{55}\)
5. \(-\left(\frac{3}{11}\right)-\left(\frac{-7}{-13}\right)\\= \frac{-3}{11}-\frac{7}{13}\\=\frac{-39}{143}-\frac{77}{143}\\=\frac{-39-77}{143}\\=\frac{-116}{143}\)
6. \(-\left(\frac{-13}{-3}\right)-\left(\frac{-8}{13}\right)\\= \frac{-13}{3}+\frac{8}{13}\\=\frac{-169}{39}+\frac{24}{39}\\=\frac{-169+24}{39}\\=\frac{-145}{39}\)
7. \(+\left(\frac{5}{-2}\right)+\left(\frac{6}{5}\right)\\= \frac{-5}{2}+\frac{6}{5}\\=\frac{-25}{10}+\frac{12}{10}\\=\frac{-25+12}{10}\\=\frac{-13}{10}\)
8. \(-\left(\frac{-7}{11}\right)+\left(\frac{7}{5}\right)\\= \frac{7}{11}+\frac{7}{5}\\=\frac{35}{55}+\frac{77}{55}\\=\frac{35+77}{55}\\=\frac{112}{55}\)
9. \(-\left(\frac{-14}{9}\right)+\left(\frac{13}{-9}\right)\\= \frac{14}{9}-\frac{13}{9}\\=\frac{14-13}{9}\\=\frac{1}{9}\)
10. \(-\left(\frac{-5}{4}\right)-\left(\frac{-8}{-3}\right)\\= \frac{5}{4}-\frac{8}{3}\\=\frac{15}{12}-\frac{32}{12}\\=\frac{15-32}{12}\\=\frac{-17}{12}\)
11. \(-\left(\frac{-7}{4}\right)-\left(\frac{-4}{-11}\right)\\= \frac{7}{4}-\frac{4}{11}\\=\frac{77}{44}-\frac{16}{44}\\=\frac{77-16}{44}\\=\frac{61}{44}\)
12. \(-\left(\frac{6}{-5}\right)-\left(\frac{-6}{7}\right)\\= \frac{6}{5}+\frac{6}{7}\\=\frac{42}{35}+\frac{30}{35}\\=\frac{42+30}{35}\\=\frac{72}{35}\)