Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{11}{-2}\right)-\left(\frac{7}{-5}\right)\\= \frac{-11}{2}+\frac{7}{5}\\=\frac{-55}{10}+\frac{14}{10}\\=\frac{-55+14}{10}\\=\frac{-41}{10}\)
2. \(-\left(\frac{-15}{7}\right)-\left(\frac{-7}{-2}\right)\\= \frac{15}{7}-\frac{7}{2}\\=\frac{30}{14}-\frac{49}{14}\\=\frac{30-49}{14}\\=\frac{-19}{14}\)
3. \(+\left(\frac{9}{-7}\right)-\left(\frac{-5}{4}\right)\\= \frac{-9}{7}+\frac{5}{4}\\=\frac{-36}{28}+\frac{35}{28}\\=\frac{-36+35}{28}\\=\frac{-1}{28}\)
4. \(+\left(\frac{10}{-13}\right)+\left(\frac{15}{11}\right)\\= \frac{-10}{13}+\frac{15}{11}\\=\frac{-110}{143}+\frac{195}{143}\\=\frac{-110+195}{143}\\=\frac{85}{143}\)
5. \(-\left(\frac{11}{-14}\right)+\left(\frac{7}{-6}\right)\\= \frac{11}{14}-\frac{7}{6}\\=\frac{33}{42}-\frac{49}{42}\\=\frac{33-49}{42}\\=\frac{-16}{42}\\=\frac{-8}{21}\)
6. \(-\left(\frac{2}{-11}\right)+\left(\frac{-4}{-11}\right)\\= \frac{2}{11}+\frac{4}{11}\\=\frac{2+4}{11}\\=\frac{6}{11}\)
7. \(+\left(\frac{-12}{5}\right)+\left(\frac{-10}{7}\right)\\= \frac{-12}{5}-\frac{10}{7}\\=\frac{-84}{35}-\frac{50}{35}\\=\frac{-84-50}{35}\\=\frac{-134}{35}\)
8. \(+\left(\frac{3}{10}\right)+\left(\frac{-4}{-13}\right)\\= \frac{3}{10}+\frac{4}{13}\\=\frac{39}{130}+\frac{40}{130}\\=\frac{39+40}{130}\\=\frac{79}{130}\)
9. \(+\left(\frac{-13}{7}\right)-\left(\frac{-3}{-7}\right)\\= \frac{-13}{7}-\frac{3}{7}\\=\frac{-13-3}{7}\\=\frac{-16}{7}\)
10. \(-\left(\frac{12}{-13}\right)-\left(\frac{15}{11}\right)\\= \frac{12}{13}-\frac{15}{11}\\=\frac{132}{143}-\frac{195}{143}\\=\frac{132-195}{143}\\=\frac{-63}{143}\)
11. \(-\left(\frac{-10}{11}\right)+\left(\frac{5}{9}\right)\\= \frac{10}{11}+\frac{5}{9}\\=\frac{90}{99}+\frac{55}{99}\\=\frac{90+55}{99}\\=\frac{145}{99}\)
12. \(+\left(\frac{6}{5}\right)-\left(\frac{-11}{-6}\right)\\= \frac{6}{5}-\frac{11}{6}\\=\frac{36}{30}-\frac{55}{30}\\=\frac{36-55}{30}\\=\frac{-19}{30}\)