Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{13}{9}\right)-\left(\frac{14}{-13}\right)\\= \frac{13}{9}+\frac{14}{13}\\=\frac{169}{117}+\frac{126}{117}\\=\frac{169+126}{117}\\=\frac{295}{117}\)
2. \(+\left(\frac{4}{-3}\right)+\left(\frac{-13}{-8}\right)\\= \frac{-4}{3}+\frac{13}{8}\\=\frac{-32}{24}+\frac{39}{24}\\=\frac{-32+39}{24}\\=\frac{7}{24}\)
3. \(-\left(\frac{9}{11}\right)-\left(\frac{-5}{-4}\right)\\= \frac{-9}{11}-\frac{5}{4}\\=\frac{-36}{44}-\frac{55}{44}\\=\frac{-36-55}{44}\\=\frac{-91}{44}\)
4. \(-\left(\frac{15}{4}\right)-\left(\frac{3}{-11}\right)\\= \frac{-15}{4}+\frac{3}{11}\\=\frac{-165}{44}+\frac{12}{44}\\=\frac{-165+12}{44}\\=\frac{-153}{44}\)
5. \(+\left(\frac{7}{-4}\right)-\left(\frac{7}{2}\right)\\= \frac{-7}{4}-\frac{7}{2}\\=\frac{-7-7}{4}\\=\frac{-14}{4}\\=\frac{-7}{2}\)
6. \(-\left(\frac{6}{-11}\right)+\left(\frac{-2}{3}\right)\\= \frac{6}{11}-\frac{2}{3}\\=\frac{18}{33}-\frac{22}{33}\\=\frac{18-22}{33}\\=\frac{-4}{33}\)
7. \(+\left(\frac{-12}{5}\right)-\left(\frac{7}{-12}\right)\\= \frac{-12}{5}+\frac{7}{12}\\=\frac{-144}{60}+\frac{35}{60}\\=\frac{-144+35}{60}\\=\frac{-109}{60}\)
8. \(-\left(\frac{6}{11}\right)+\left(\frac{-9}{10}\right)\\= \frac{-6}{11}-\frac{9}{10}\\=\frac{-60}{110}-\frac{99}{110}\\=\frac{-60-99}{110}\\=\frac{-159}{110}\)
9. \(-\left(\frac{11}{-5}\right)+\left(\frac{-7}{-10}\right)\\= \frac{11}{5}+\frac{7}{10}\\=\frac{22}{10}+\frac{7}{10}\\=\frac{22+7}{10}\\=\frac{29}{10}\)
10. \(+\left(\frac{-7}{-6}\right)-\left(\frac{-4}{-3}\right)\\= \frac{7}{6}-\frac{4}{3}\\=\frac{7-4}{6}\\=\frac{3}{6}\\=\frac{1}{2}\)
11. \(+\left(\frac{-13}{-2}\right)-\left(\frac{-14}{5}\right)\\= \frac{13}{2}+\frac{14}{5}\\=\frac{65}{10}+\frac{28}{10}\\=\frac{65+28}{10}\\=\frac{93}{10}\)
12. \(+\left(\frac{-15}{7}\right)-\left(\frac{8}{-3}\right)\\= \frac{-15}{7}+\frac{8}{3}\\=\frac{-45}{21}+\frac{56}{21}\\=\frac{-45+56}{21}\\=\frac{11}{21}\)