Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{11}\right)+\left(\frac{9}{7}\right)\\= \frac{-2}{11}+\frac{9}{7}\\=\frac{-14}{77}+\frac{99}{77}\\=\frac{-14+99}{77}\\=\frac{85}{77}\)
2. \(-\left(\frac{10}{-3}\right)+\left(\frac{-11}{13}\right)\\= \frac{10}{3}-\frac{11}{13}\\=\frac{130}{39}-\frac{33}{39}\\=\frac{130-33}{39}\\=\frac{97}{39}\)
3. \(-\left(\frac{-2}{-3}\right)+\left(\frac{2}{3}\right)\\= \frac{-2}{3}+\frac{2}{3}\\=\frac{-2+2}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)
4. \(-\left(\frac{4}{7}\right)+\left(\frac{8}{-11}\right)\\= \frac{-4}{7}-\frac{8}{11}\\=\frac{-44}{77}-\frac{56}{77}\\=\frac{-44-56}{77}\\=\frac{-100}{77}\)
5. \(+\left(\frac{-2}{-3}\right)+\left(\frac{-8}{-13}\right)\\= \frac{2}{3}+\frac{8}{13}\\=\frac{26}{39}+\frac{24}{39}\\=\frac{26+24}{39}\\=\frac{50}{39}\)
6. \(-\left(\frac{-11}{4}\right)-\left(\frac{10}{-9}\right)\\= \frac{11}{4}+\frac{10}{9}\\=\frac{99}{36}+\frac{40}{36}\\=\frac{99+40}{36}\\=\frac{139}{36}\)
7. \(-\left(\frac{-14}{9}\right)-\left(\frac{4}{7}\right)\\= \frac{14}{9}-\frac{4}{7}\\=\frac{98}{63}-\frac{36}{63}\\=\frac{98-36}{63}\\=\frac{62}{63}\)
8. \(-\left(\frac{-9}{5}\right)-\left(\frac{14}{-3}\right)\\= \frac{9}{5}+\frac{14}{3}\\=\frac{27}{15}+\frac{70}{15}\\=\frac{27+70}{15}\\=\frac{97}{15}\)
9. \(+\left(\frac{-3}{11}\right)-\left(\frac{-15}{8}\right)\\= \frac{-3}{11}+\frac{15}{8}\\=\frac{-24}{88}+\frac{165}{88}\\=\frac{-24+165}{88}\\=\frac{141}{88}\)
10. \(-\left(\frac{3}{-11}\right)-\left(\frac{-15}{-11}\right)\\= \frac{3}{11}-\frac{15}{11}\\=\frac{3-15}{11}\\=\frac{-12}{11}\)
11. \(+\left(\frac{4}{-3}\right)+\left(\frac{6}{-11}\right)\\= \frac{-4}{3}-\frac{6}{11}\\=\frac{-44}{33}-\frac{18}{33}\\=\frac{-44-18}{33}\\=\frac{-62}{33}\)
12. \(-\left(\frac{-14}{-9}\right)-\left(\frac{8}{9}\right)\\= \frac{-14}{9}-\frac{8}{9}\\=\frac{-14-8}{9}\\=\frac{-22}{9}\)