Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{11}\right)-\left(\frac{7}{-6}\right)\\= \frac{12}{11}+\frac{7}{6}\\=\frac{72}{66}+\frac{77}{66}\\=\frac{72+77}{66}\\=\frac{149}{66}\)
2. \(-\left(\frac{-10}{-13}\right)-\left(\frac{13}{-3}\right)\\= \frac{-10}{13}+\frac{13}{3}\\=\frac{-30}{39}+\frac{169}{39}\\=\frac{-30+169}{39}\\=\frac{139}{39}\)
3. \(+\left(\frac{13}{-14}\right)-\left(\frac{11}{12}\right)\\= \frac{-13}{14}-\frac{11}{12}\\=\frac{-78}{84}-\frac{77}{84}\\=\frac{-78-77}{84}\\=\frac{-155}{84}\)
4. \(-\left(\frac{-7}{-2}\right)+\left(\frac{12}{5}\right)\\= \frac{-7}{2}+\frac{12}{5}\\=\frac{-35}{10}+\frac{24}{10}\\=\frac{-35+24}{10}\\=\frac{-11}{10}\)
5. \(+\left(\frac{12}{13}\right)+\left(\frac{-3}{4}\right)\\= \frac{12}{13}-\frac{3}{4}\\=\frac{48}{52}-\frac{39}{52}\\=\frac{48-39}{52}\\=\frac{9}{52}\)
6. \(+\left(\frac{15}{4}\right)+\left(\frac{15}{-13}\right)\\= \frac{15}{4}-\frac{15}{13}\\=\frac{195}{52}-\frac{60}{52}\\=\frac{195-60}{52}\\=\frac{135}{52}\)
7. \(-\left(\frac{12}{11}\right)+\left(\frac{2}{-13}\right)\\= \frac{-12}{11}-\frac{2}{13}\\=\frac{-156}{143}-\frac{22}{143}\\=\frac{-156-22}{143}\\=\frac{-178}{143}\)
8. \(+\left(\frac{14}{13}\right)+\left(\frac{-15}{-7}\right)\\= \frac{14}{13}+\frac{15}{7}\\=\frac{98}{91}+\frac{195}{91}\\=\frac{98+195}{91}\\=\frac{293}{91}\)
9. \(-\left(\frac{-4}{-7}\right)+\left(\frac{-2}{3}\right)\\= \frac{-4}{7}-\frac{2}{3}\\=\frac{-12}{21}-\frac{14}{21}\\=\frac{-12-14}{21}\\=\frac{-26}{21}\)
10. \(+\left(\frac{15}{-4}\right)-\left(\frac{3}{-11}\right)\\= \frac{-15}{4}+\frac{3}{11}\\=\frac{-165}{44}+\frac{12}{44}\\=\frac{-165+12}{44}\\=\frac{-153}{44}\)
11. \(-\left(\frac{-3}{5}\right)-\left(\frac{14}{-11}\right)\\= \frac{3}{5}+\frac{14}{11}\\=\frac{33}{55}+\frac{70}{55}\\=\frac{33+70}{55}\\=\frac{103}{55}\)
12. \(-\left(\frac{5}{3}\right)-\left(\frac{10}{-11}\right)\\= \frac{-5}{3}+\frac{10}{11}\\=\frac{-55}{33}+\frac{30}{33}\\=\frac{-55+30}{33}\\=\frac{-25}{33}\)