Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-10}{7}\right)-\left(\frac{15}{-11}\right)\\= \frac{10}{7}+\frac{15}{11}\\=\frac{110}{77}+\frac{105}{77}\\=\frac{110+105}{77}\\=\frac{215}{77}\)
2. \(+\left(\frac{12}{-13}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-12}{13}-\frac{2}{3}\\=\frac{-36}{39}-\frac{26}{39}\\=\frac{-36-26}{39}\\=\frac{-62}{39}\)
3. \(+\left(\frac{9}{-13}\right)-\left(\frac{15}{4}\right)\\= \frac{-9}{13}-\frac{15}{4}\\=\frac{-36}{52}-\frac{195}{52}\\=\frac{-36-195}{52}\\=\frac{-231}{52}\)
4. \(+\left(\frac{3}{-8}\right)+\left(\frac{-10}{-7}\right)\\= \frac{-3}{8}+\frac{10}{7}\\=\frac{-21}{56}+\frac{80}{56}\\=\frac{-21+80}{56}\\=\frac{59}{56}\)
5. \(+\left(\frac{-5}{12}\right)-\left(\frac{-15}{-2}\right)\\= \frac{-5}{12}-\frac{15}{2}\\=\frac{-5-15}{12}\\=\frac{-20}{12}\\=\frac{-5}{3}\)
6. \(+\left(\frac{-2}{13}\right)-\left(\frac{-12}{7}\right)\\= \frac{-2}{13}+\frac{12}{7}\\=\frac{-14}{91}+\frac{156}{91}\\=\frac{-14+156}{91}\\=\frac{142}{91}\)
7. \(+\left(\frac{8}{-3}\right)+\left(\frac{8}{-3}\right)\\= \frac{-8}{3}-\frac{8}{3}\\=\frac{-8-8}{3}\\=\frac{-16}{3}\)
8. \(+\left(\frac{10}{-7}\right)+\left(\frac{14}{-11}\right)\\= \frac{-10}{7}-\frac{14}{11}\\=\frac{-110}{77}-\frac{98}{77}\\=\frac{-110-98}{77}\\=\frac{-208}{77}\)
9. \(+\left(\frac{13}{14}\right)+\left(\frac{-3}{-10}\right)\\= \frac{13}{14}+\frac{3}{10}\\=\frac{65}{70}+\frac{21}{70}\\=\frac{65+21}{70}\\=\frac{86}{70}\\=\frac{43}{35}\)
10. \(+\left(\frac{-12}{-5}\right)+\left(\frac{15}{11}\right)\\= \frac{12}{5}+\frac{15}{11}\\=\frac{132}{55}+\frac{75}{55}\\=\frac{132+75}{55}\\=\frac{207}{55}\)
11. \(-\left(\frac{-5}{6}\right)-\left(\frac{9}{-7}\right)\\= \frac{5}{6}+\frac{9}{7}\\=\frac{35}{42}+\frac{54}{42}\\=\frac{35+54}{42}\\=\frac{89}{42}\)
12. \(+\left(\frac{2}{-3}\right)+\left(\frac{-10}{7}\right)\\= \frac{-2}{3}-\frac{10}{7}\\=\frac{-14}{21}-\frac{30}{21}\\=\frac{-14-30}{21}\\=\frac{-44}{21}\)