Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{3}\right)-\left(\frac{6}{-11}\right)\\= \frac{-2}{3}+\frac{6}{11}\\=\frac{-22}{33}+\frac{18}{33}\\=\frac{-22+18}{33}\\=\frac{-4}{33}\)
2. \(+\left(\frac{-8}{5}\right)-\left(\frac{4}{-3}\right)\\= \frac{-8}{5}+\frac{4}{3}\\=\frac{-24}{15}+\frac{20}{15}\\=\frac{-24+20}{15}\\=\frac{-4}{15}\)
3. \(+\left(\frac{-2}{-11}\right)+\left(\frac{-4}{7}\right)\\= \frac{2}{11}-\frac{4}{7}\\=\frac{14}{77}-\frac{44}{77}\\=\frac{14-44}{77}\\=\frac{-30}{77}\)
4. \(-\left(\frac{-11}{2}\right)+\left(\frac{12}{7}\right)\\= \frac{11}{2}+\frac{12}{7}\\=\frac{77}{14}+\frac{24}{14}\\=\frac{77+24}{14}\\=\frac{101}{14}\)
5. \(-\left(\frac{-8}{-11}\right)-\left(\frac{13}{-12}\right)\\= \frac{-8}{11}+\frac{13}{12}\\=\frac{-96}{132}+\frac{143}{132}\\=\frac{-96+143}{132}\\=\frac{47}{132}\)
6. \(-\left(\frac{-9}{-14}\right)-\left(\frac{6}{-13}\right)\\= \frac{-9}{14}+\frac{6}{13}\\=\frac{-117}{182}+\frac{84}{182}\\=\frac{-117+84}{182}\\=\frac{-33}{182}\)
7. \(-\left(\frac{-4}{7}\right)+\left(\frac{-7}{2}\right)\\= \frac{4}{7}-\frac{7}{2}\\=\frac{8}{14}-\frac{49}{14}\\=\frac{8-49}{14}\\=\frac{-41}{14}\)
8. \(-\left(\frac{12}{11}\right)-\left(\frac{-6}{7}\right)\\= \frac{-12}{11}+\frac{6}{7}\\=\frac{-84}{77}+\frac{66}{77}\\=\frac{-84+66}{77}\\=\frac{-18}{77}\)
9. \(+\left(\frac{-9}{8}\right)-\left(\frac{-14}{9}\right)\\= \frac{-9}{8}+\frac{14}{9}\\=\frac{-81}{72}+\frac{112}{72}\\=\frac{-81+112}{72}\\=\frac{31}{72}\)
10. \(-\left(\frac{10}{13}\right)+\left(\frac{-2}{-3}\right)\\= \frac{-10}{13}+\frac{2}{3}\\=\frac{-30}{39}+\frac{26}{39}\\=\frac{-30+26}{39}\\=\frac{-4}{39}\)
11. \(+\left(\frac{2}{13}\right)-\left(\frac{-3}{-13}\right)\\= \frac{2}{13}-\frac{3}{13}\\=\frac{2-3}{13}\\=\frac{-1}{13}\)
12. \(+\left(\frac{-14}{5}\right)+\left(\frac{7}{-6}\right)\\= \frac{-14}{5}-\frac{7}{6}\\=\frac{-84}{30}-\frac{35}{30}\\=\frac{-84-35}{30}\\=\frac{-119}{30}\)