Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{10}{-3}\right)+\left(\frac{6}{-5}\right)\\= \frac{10}{3}-\frac{6}{5}\\=\frac{50}{15}-\frac{18}{15}\\=\frac{50-18}{15}\\=\frac{32}{15}\)
2. \(+\left(\frac{-14}{9}\right)+\left(\frac{-12}{5}\right)\\= \frac{-14}{9}-\frac{12}{5}\\=\frac{-70}{45}-\frac{108}{45}\\=\frac{-70-108}{45}\\=\frac{-178}{45}\)
3. \(+\left(\frac{10}{3}\right)+\left(\frac{-3}{14}\right)\\= \frac{10}{3}-\frac{3}{14}\\=\frac{140}{42}-\frac{9}{42}\\=\frac{140-9}{42}\\=\frac{131}{42}\)
4. \(-\left(\frac{2}{5}\right)+\left(\frac{8}{-11}\right)\\= \frac{-2}{5}-\frac{8}{11}\\=\frac{-22}{55}-\frac{40}{55}\\=\frac{-22-40}{55}\\=\frac{-62}{55}\)
5. \(+\left(\frac{-9}{10}\right)-\left(\frac{-15}{-8}\right)\\= \frac{-9}{10}-\frac{15}{8}\\=\frac{-36}{40}-\frac{75}{40}\\=\frac{-36-75}{40}\\=\frac{-111}{40}\)
6. \(-\left(\frac{-6}{7}\right)-\left(\frac{5}{-13}\right)\\= \frac{6}{7}+\frac{5}{13}\\=\frac{78}{91}+\frac{35}{91}\\=\frac{78+35}{91}\\=\frac{113}{91}\)
7. \(+\left(\frac{8}{-7}\right)-\left(\frac{11}{-13}\right)\\= \frac{-8}{7}+\frac{11}{13}\\=\frac{-104}{91}+\frac{77}{91}\\=\frac{-104+77}{91}\\=\frac{-27}{91}\)
8. \(-\left(\frac{-12}{7}\right)-\left(\frac{5}{9}\right)\\= \frac{12}{7}-\frac{5}{9}\\=\frac{108}{63}-\frac{35}{63}\\=\frac{108-35}{63}\\=\frac{73}{63}\)
9. \(-\left(\frac{-10}{3}\right)+\left(\frac{-8}{3}\right)\\= \frac{10}{3}-\frac{8}{3}\\=\frac{10-8}{3}\\=\frac{2}{3}\)
10. \(-\left(\frac{13}{11}\right)+\left(\frac{13}{-12}\right)\\= \frac{-13}{11}-\frac{13}{12}\\=\frac{-156}{132}-\frac{143}{132}\\=\frac{-156-143}{132}\\=\frac{-299}{132}\)
11. \(-\left(\frac{-2}{-9}\right)+\left(\frac{-6}{-13}\right)\\= \frac{-2}{9}+\frac{6}{13}\\=\frac{-26}{117}+\frac{54}{117}\\=\frac{-26+54}{117}\\=\frac{28}{117}\)
12. \(+\left(\frac{14}{-9}\right)+\left(\frac{11}{-4}\right)\\= \frac{-14}{9}-\frac{11}{4}\\=\frac{-56}{36}-\frac{99}{36}\\=\frac{-56-99}{36}\\=\frac{-155}{36}\)