Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{9}{-13}\right)+\left(\frac{12}{-7}\right)\\= \frac{-9}{13}-\frac{12}{7}\\=\frac{-63}{91}-\frac{156}{91}\\=\frac{-63-156}{91}\\=\frac{-219}{91}\)
2. \(+\left(\frac{-5}{3}\right)+\left(\frac{-13}{-3}\right)\\= \frac{-5}{3}+\frac{13}{3}\\=\frac{-5+13}{3}\\=\frac{8}{3}\)
3. \(+\left(\frac{-7}{9}\right)-\left(\frac{4}{-3}\right)\\= \frac{-7}{9}+\frac{4}{3}\\=\frac{-7+4}{9}\\=\frac{-3}{9}\\=\frac{-1}{3}\)
4. \(-\left(\frac{-2}{-5}\right)-\left(\frac{-6}{-11}\right)\\= \frac{-2}{5}-\frac{6}{11}\\=\frac{-22}{55}-\frac{30}{55}\\=\frac{-22-30}{55}\\=\frac{-52}{55}\)
5. \(+\left(\frac{2}{-11}\right)-\left(\frac{9}{-7}\right)\\= \frac{-2}{11}+\frac{9}{7}\\=\frac{-14}{77}+\frac{99}{77}\\=\frac{-14+99}{77}\\=\frac{85}{77}\)
6. \(+\left(\frac{7}{12}\right)+\left(\frac{6}{13}\right)\\= \frac{7}{12}+\frac{6}{13}\\=\frac{91}{156}+\frac{72}{156}\\=\frac{91+72}{156}\\=\frac{163}{156}\)
7. \(-\left(\frac{-15}{-11}\right)+\left(\frac{-14}{3}\right)\\= \frac{-15}{11}-\frac{14}{3}\\=\frac{-45}{33}-\frac{154}{33}\\=\frac{-45-154}{33}\\=\frac{-199}{33}\)
8. \(-\left(\frac{14}{-3}\right)-\left(\frac{14}{-13}\right)\\= \frac{14}{3}+\frac{14}{13}\\=\frac{182}{39}+\frac{42}{39}\\=\frac{182+42}{39}\\=\frac{224}{39}\)
9. \(-\left(\frac{12}{5}\right)-\left(\frac{-10}{11}\right)\\= \frac{-12}{5}+\frac{10}{11}\\=\frac{-132}{55}+\frac{50}{55}\\=\frac{-132+50}{55}\\=\frac{-82}{55}\)
10. \(-\left(\frac{-15}{2}\right)+\left(\frac{13}{7}\right)\\= \frac{15}{2}+\frac{13}{7}\\=\frac{105}{14}+\frac{26}{14}\\=\frac{105+26}{14}\\=\frac{131}{14}\)
11. \(-\left(\frac{-14}{5}\right)+\left(\frac{-15}{-11}\right)\\= \frac{14}{5}+\frac{15}{11}\\=\frac{154}{55}+\frac{75}{55}\\=\frac{154+75}{55}\\=\frac{229}{55}\)
12. \(-\left(\frac{-3}{-10}\right)+\left(\frac{8}{13}\right)\\= \frac{-3}{10}+\frac{8}{13}\\=\frac{-39}{130}+\frac{80}{130}\\=\frac{-39+80}{130}\\=\frac{41}{130}\)