Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{13}\right)-\left(\frac{8}{-3}\right)\\= \frac{3}{13}+\frac{8}{3}\\=\frac{9}{39}+\frac{104}{39}\\=\frac{9+104}{39}\\=\frac{113}{39}\)
2. \(+\left(\frac{-5}{-9}\right)+\left(\frac{12}{7}\right)\\= \frac{5}{9}+\frac{12}{7}\\=\frac{35}{63}+\frac{108}{63}\\=\frac{35+108}{63}\\=\frac{143}{63}\)
3. \(-\left(\frac{13}{-6}\right)-\left(\frac{15}{-13}\right)\\= \frac{13}{6}+\frac{15}{13}\\=\frac{169}{78}+\frac{90}{78}\\=\frac{169+90}{78}\\=\frac{259}{78}\)
4. \(+\left(\frac{7}{13}\right)-\left(\frac{10}{13}\right)\\= \frac{7}{13}-\frac{10}{13}\\=\frac{7-10}{13}\\=\frac{-3}{13}\)
5. \(-\left(\frac{2}{3}\right)+\left(\frac{-7}{-3}\right)\\= \frac{-2}{3}+\frac{7}{3}\\=\frac{-2+7}{3}\\=\frac{5}{3}\)
6. \(-\left(\frac{-2}{-5}\right)+\left(\frac{7}{-10}\right)\\= \frac{-2}{5}-\frac{7}{10}\\=\frac{-4}{10}-\frac{7}{10}\\=\frac{-4-7}{10}\\=\frac{-11}{10}\)
7. \(+\left(\frac{12}{-11}\right)-\left(\frac{14}{-13}\right)\\= \frac{-12}{11}+\frac{14}{13}\\=\frac{-156}{143}+\frac{154}{143}\\=\frac{-156+154}{143}\\=\frac{-2}{143}\)
8. \(+\left(\frac{-6}{-7}\right)-\left(\frac{8}{-11}\right)\\= \frac{6}{7}+\frac{8}{11}\\=\frac{66}{77}+\frac{56}{77}\\=\frac{66+56}{77}\\=\frac{122}{77}\)
9. \(-\left(\frac{-14}{-9}\right)-\left(\frac{5}{-7}\right)\\= \frac{-14}{9}+\frac{5}{7}\\=\frac{-98}{63}+\frac{45}{63}\\=\frac{-98+45}{63}\\=\frac{-53}{63}\)
10. \(-\left(\frac{12}{7}\right)+\left(\frac{3}{-8}\right)\\= \frac{-12}{7}-\frac{3}{8}\\=\frac{-96}{56}-\frac{21}{56}\\=\frac{-96-21}{56}\\=\frac{-117}{56}\)
11. \(-\left(\frac{14}{-9}\right)+\left(\frac{-4}{7}\right)\\= \frac{14}{9}-\frac{4}{7}\\=\frac{98}{63}-\frac{36}{63}\\=\frac{98-36}{63}\\=\frac{62}{63}\)
12. \(-\left(\frac{2}{-5}\right)-\left(\frac{8}{-11}\right)\\= \frac{2}{5}+\frac{8}{11}\\=\frac{22}{55}+\frac{40}{55}\\=\frac{22+40}{55}\\=\frac{62}{55}\)