Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{-13}\right)+\left(\frac{6}{-7}\right)\\= \frac{-8}{13}-\frac{6}{7}\\=\frac{-56}{91}-\frac{78}{91}\\=\frac{-56-78}{91}\\=\frac{-134}{91}\)
2. \(+\left(\frac{-6}{5}\right)+\left(\frac{13}{8}\right)\\= \frac{-6}{5}+\frac{13}{8}\\=\frac{-48}{40}+\frac{65}{40}\\=\frac{-48+65}{40}\\=\frac{17}{40}\)
3. \(-\left(\frac{-5}{6}\right)-\left(\frac{4}{-9}\right)\\= \frac{5}{6}+\frac{4}{9}\\=\frac{15}{18}+\frac{8}{18}\\=\frac{15+8}{18}\\=\frac{23}{18}\)
4. \(+\left(\frac{-11}{13}\right)+\left(\frac{-12}{-7}\right)\\= \frac{-11}{13}+\frac{12}{7}\\=\frac{-77}{91}+\frac{156}{91}\\=\frac{-77+156}{91}\\=\frac{79}{91}\)
5. \(-\left(\frac{7}{3}\right)-\left(\frac{-10}{-7}\right)\\= \frac{-7}{3}-\frac{10}{7}\\=\frac{-49}{21}-\frac{30}{21}\\=\frac{-49-30}{21}\\=\frac{-79}{21}\)
6. \(+\left(\frac{7}{13}\right)+\left(\frac{4}{3}\right)\\= \frac{7}{13}+\frac{4}{3}\\=\frac{21}{39}+\frac{52}{39}\\=\frac{21+52}{39}\\=\frac{73}{39}\)
7. \(-\left(\frac{-9}{-14}\right)+\left(\frac{13}{-14}\right)\\= \frac{-9}{14}-\frac{13}{14}\\=\frac{-9-13}{14}\\=\frac{-22}{14}\\=\frac{-11}{7}\)
8. \(+\left(\frac{-9}{7}\right)+\left(\frac{-13}{12}\right)\\= \frac{-9}{7}-\frac{13}{12}\\=\frac{-108}{84}-\frac{91}{84}\\=\frac{-108-91}{84}\\=\frac{-199}{84}\)
9. \(-\left(\frac{-13}{3}\right)-\left(\frac{-3}{13}\right)\\= \frac{13}{3}+\frac{3}{13}\\=\frac{169}{39}+\frac{9}{39}\\=\frac{169+9}{39}\\=\frac{178}{39}\)
10. \(+\left(\frac{5}{11}\right)-\left(\frac{-4}{11}\right)\\= \frac{5}{11}+\frac{4}{11}\\=\frac{5+4}{11}\\=\frac{9}{11}\)
11. \(-\left(\frac{-2}{-9}\right)+\left(\frac{2}{-3}\right)\\= \frac{-2}{9}-\frac{2}{3}\\=\frac{-2-2}{9}\\=\frac{-4}{9}\)
12. \(-\left(\frac{10}{9}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-10}{9}-\frac{2}{3}\\=\frac{-10-2}{9}\\=\frac{-12}{9}\\=\frac{-4}{3}\)