Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{7}\right)-\left(\frac{-8}{11}\right)\\= \frac{-15}{7}+\frac{8}{11}\\=\frac{-165}{77}+\frac{56}{77}\\=\frac{-165+56}{77}\\=\frac{-109}{77}\)
2. \(+\left(\frac{3}{-7}\right)-\left(\frac{12}{-11}\right)\\= \frac{-3}{7}+\frac{12}{11}\\=\frac{-33}{77}+\frac{84}{77}\\=\frac{-33+84}{77}\\=\frac{51}{77}\)
3. \(+\left(\frac{-9}{-14}\right)-\left(\frac{-7}{10}\right)\\= \frac{9}{14}+\frac{7}{10}\\=\frac{45}{70}+\frac{49}{70}\\=\frac{45+49}{70}\\=\frac{94}{70}\\=\frac{47}{35}\)
4. \(+\left(\frac{-11}{10}\right)-\left(\frac{-2}{3}\right)\\= \frac{-11}{10}+\frac{2}{3}\\=\frac{-33}{30}+\frac{20}{30}\\=\frac{-33+20}{30}\\=\frac{-13}{30}\)
5. \(+\left(\frac{-9}{-4}\right)-\left(\frac{-5}{-12}\right)\\= \frac{9}{4}-\frac{5}{12}\\=\frac{27}{12}-\frac{5}{12}\\=\frac{27-5}{12}\\=\frac{22}{12}\\=\frac{11}{6}\)
6. \(+\left(\frac{-9}{11}\right)+\left(\frac{-5}{-11}\right)\\= \frac{-9}{11}+\frac{5}{11}\\=\frac{-9+5}{11}\\=\frac{-4}{11}\)
7. \(-\left(\frac{8}{-11}\right)-\left(\frac{-2}{-3}\right)\\= \frac{8}{11}-\frac{2}{3}\\=\frac{24}{33}-\frac{22}{33}\\=\frac{24-22}{33}\\=\frac{2}{33}\)
8. \(+\left(\frac{-10}{-11}\right)+\left(\frac{2}{-5}\right)\\= \frac{10}{11}-\frac{2}{5}\\=\frac{50}{55}-\frac{22}{55}\\=\frac{50-22}{55}\\=\frac{28}{55}\)
9. \(+\left(\frac{7}{2}\right)+\left(\frac{11}{-5}\right)\\= \frac{7}{2}-\frac{11}{5}\\=\frac{35}{10}-\frac{22}{10}\\=\frac{35-22}{10}\\=\frac{13}{10}\)
10. \(+\left(\frac{2}{-5}\right)+\left(\frac{11}{12}\right)\\= \frac{-2}{5}+\frac{11}{12}\\=\frac{-24}{60}+\frac{55}{60}\\=\frac{-24+55}{60}\\=\frac{31}{60}\)
11. \(-\left(\frac{-10}{-7}\right)-\left(\frac{-10}{3}\right)\\= \frac{-10}{7}+\frac{10}{3}\\=\frac{-30}{21}+\frac{70}{21}\\=\frac{-30+70}{21}\\=\frac{40}{21}\)
12. \(-\left(\frac{12}{7}\right)-\left(\frac{6}{13}\right)\\= \frac{-12}{7}-\frac{6}{13}\\=\frac{-156}{91}-\frac{42}{91}\\=\frac{-156-42}{91}\\=\frac{-198}{91}\)