Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{2}\right)-\left(\frac{-13}{8}\right)\\= \frac{-15}{2}+\frac{13}{8}\\=\frac{-60}{8}+\frac{13}{8}\\=\frac{-60+13}{8}\\=\frac{-47}{8}\)
2. \(-\left(\frac{15}{-7}\right)-\left(\frac{-3}{-4}\right)\\= \frac{15}{7}-\frac{3}{4}\\=\frac{60}{28}-\frac{21}{28}\\=\frac{60-21}{28}\\=\frac{39}{28}\)
3. \(-\left(\frac{-12}{-5}\right)-\left(\frac{2}{5}\right)\\= \frac{-12}{5}-\frac{2}{5}\\=\frac{-12-2}{5}\\=\frac{-14}{5}\)
4. \(+\left(\frac{7}{2}\right)+\left(\frac{11}{6}\right)\\= \frac{7}{2}+\frac{11}{6}\\=\frac{21}{6}+\frac{11}{6}\\=\frac{21+11}{6}\\=\frac{32}{6}\\=\frac{16}{3}\)
5. \(-\left(\frac{-2}{-13}\right)+\left(\frac{13}{2}\right)\\= \frac{-2}{13}+\frac{13}{2}\\=\frac{-4}{26}+\frac{169}{26}\\=\frac{-4+169}{26}\\=\frac{165}{26}\)
6. \(-\left(\frac{-10}{-3}\right)+\left(\frac{-3}{-4}\right)\\= \frac{-10}{3}+\frac{3}{4}\\=\frac{-40}{12}+\frac{9}{12}\\=\frac{-40+9}{12}\\=\frac{-31}{12}\)
7. \(+\left(\frac{13}{12}\right)+\left(\frac{9}{-8}\right)\\= \frac{13}{12}-\frac{9}{8}\\=\frac{26}{24}-\frac{27}{24}\\=\frac{26-27}{24}\\=\frac{-1}{24}\)
8. \(-\left(\frac{12}{7}\right)-\left(\frac{-11}{2}\right)\\= \frac{-12}{7}+\frac{11}{2}\\=\frac{-24}{14}+\frac{77}{14}\\=\frac{-24+77}{14}\\=\frac{53}{14}\)
9. \(+\left(\frac{-3}{-7}\right)-\left(\frac{2}{3}\right)\\= \frac{3}{7}-\frac{2}{3}\\=\frac{9}{21}-\frac{14}{21}\\=\frac{9-14}{21}\\=\frac{-5}{21}\)
10. \(+\left(\frac{-12}{5}\right)+\left(\frac{8}{-11}\right)\\= \frac{-12}{5}-\frac{8}{11}\\=\frac{-132}{55}-\frac{40}{55}\\=\frac{-132-40}{55}\\=\frac{-172}{55}\)
11. \(+\left(\frac{2}{13}\right)-\left(\frac{-15}{-2}\right)\\= \frac{2}{13}-\frac{15}{2}\\=\frac{4}{26}-\frac{195}{26}\\=\frac{4-195}{26}\\=\frac{-191}{26}\)
12. \(-\left(\frac{-2}{-11}\right)-\left(\frac{2}{5}\right)\\= \frac{-2}{11}-\frac{2}{5}\\=\frac{-10}{55}-\frac{22}{55}\\=\frac{-10-22}{55}\\=\frac{-32}{55}\)