Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{11}\right)-\left(\frac{-12}{5}\right)\\= \frac{12}{11}+\frac{12}{5}\\=\frac{60}{55}+\frac{132}{55}\\=\frac{60+132}{55}\\=\frac{192}{55}\)
2. \(+\left(\frac{5}{2}\right)-\left(\frac{-14}{9}\right)\\= \frac{5}{2}+\frac{14}{9}\\=\frac{45}{18}+\frac{28}{18}\\=\frac{45+28}{18}\\=\frac{73}{18}\)
3. \(-\left(\frac{-2}{5}\right)+\left(\frac{15}{-8}\right)\\= \frac{2}{5}-\frac{15}{8}\\=\frac{16}{40}-\frac{75}{40}\\=\frac{16-75}{40}\\=\frac{-59}{40}\)
4. \(-\left(\frac{-11}{-9}\right)-\left(\frac{-7}{-11}\right)\\= \frac{-11}{9}-\frac{7}{11}\\=\frac{-121}{99}-\frac{63}{99}\\=\frac{-121-63}{99}\\=\frac{-184}{99}\)
5. \(-\left(\frac{-10}{13}\right)+\left(\frac{4}{5}\right)\\= \frac{10}{13}+\frac{4}{5}\\=\frac{50}{65}+\frac{52}{65}\\=\frac{50+52}{65}\\=\frac{102}{65}\)
6. \(-\left(\frac{-4}{3}\right)+\left(\frac{4}{11}\right)\\= \frac{4}{3}+\frac{4}{11}\\=\frac{44}{33}+\frac{12}{33}\\=\frac{44+12}{33}\\=\frac{56}{33}\)
7. \(-\left(\frac{-3}{-11}\right)+\left(\frac{-4}{-13}\right)\\= \frac{-3}{11}+\frac{4}{13}\\=\frac{-39}{143}+\frac{44}{143}\\=\frac{-39+44}{143}\\=\frac{5}{143}\)
8. \(+\left(\frac{5}{-7}\right)+\left(\frac{13}{7}\right)\\= \frac{-5}{7}+\frac{13}{7}\\=\frac{-5+13}{7}\\=\frac{8}{7}\)
9. \(-\left(\frac{-4}{-5}\right)+\left(\frac{2}{13}\right)\\= \frac{-4}{5}+\frac{2}{13}\\=\frac{-52}{65}+\frac{10}{65}\\=\frac{-52+10}{65}\\=\frac{-42}{65}\)
10. \(+\left(\frac{-7}{8}\right)-\left(\frac{13}{-14}\right)\\= \frac{-7}{8}+\frac{13}{14}\\=\frac{-49}{56}+\frac{52}{56}\\=\frac{-49+52}{56}\\=\frac{3}{56}\)
11. \(-\left(\frac{9}{-7}\right)+\left(\frac{-13}{6}\right)\\= \frac{9}{7}-\frac{13}{6}\\=\frac{54}{42}-\frac{91}{42}\\=\frac{54-91}{42}\\=\frac{-37}{42}\)
12. \(+\left(\frac{-12}{-11}\right)-\left(\frac{-14}{-11}\right)\\= \frac{12}{11}-\frac{14}{11}\\=\frac{12-14}{11}\\=\frac{-2}{11}\)