Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{-2}\right)+\left(\frac{8}{3}\right)\\= \frac{5}{2}+\frac{8}{3}\\=\frac{15}{6}+\frac{16}{6}\\=\frac{15+16}{6}\\=\frac{31}{6}\)
2. \(+\left(\frac{-13}{14}\right)+\left(\frac{6}{5}\right)\\= \frac{-13}{14}+\frac{6}{5}\\=\frac{-65}{70}+\frac{84}{70}\\=\frac{-65+84}{70}\\=\frac{19}{70}\)
3. \(+\left(\frac{2}{3}\right)+\left(\frac{-3}{-7}\right)\\= \frac{2}{3}+\frac{3}{7}\\=\frac{14}{21}+\frac{9}{21}\\=\frac{14+9}{21}\\=\frac{23}{21}\)
4. \(+\left(\frac{9}{-10}\right)-\left(\frac{9}{8}\right)\\= \frac{-9}{10}-\frac{9}{8}\\=\frac{-36}{40}-\frac{45}{40}\\=\frac{-36-45}{40}\\=\frac{-81}{40}\)
5. \(-\left(\frac{2}{11}\right)-\left(\frac{4}{7}\right)\\= \frac{-2}{11}-\frac{4}{7}\\=\frac{-14}{77}-\frac{44}{77}\\=\frac{-14-44}{77}\\=\frac{-58}{77}\)
6. \(+\left(\frac{5}{2}\right)+\left(\frac{-9}{-14}\right)\\= \frac{5}{2}+\frac{9}{14}\\=\frac{35}{14}+\frac{9}{14}\\=\frac{35+9}{14}\\=\frac{44}{14}\\=\frac{22}{7}\)
7. \(-\left(\frac{-12}{-5}\right)+\left(\frac{-4}{-5}\right)\\= \frac{-12}{5}+\frac{4}{5}\\=\frac{-12+4}{5}\\=\frac{-8}{5}\)
8. \(+\left(\frac{-3}{-8}\right)-\left(\frac{15}{13}\right)\\= \frac{3}{8}-\frac{15}{13}\\=\frac{39}{104}-\frac{120}{104}\\=\frac{39-120}{104}\\=\frac{-81}{104}\)
9. \(+\left(\frac{-7}{12}\right)-\left(\frac{7}{9}\right)\\= \frac{-7}{12}-\frac{7}{9}\\=\frac{-21}{36}-\frac{28}{36}\\=\frac{-21-28}{36}\\=\frac{-49}{36}\)
10. \(+\left(\frac{-11}{-14}\right)-\left(\frac{9}{-4}\right)\\= \frac{11}{14}+\frac{9}{4}\\=\frac{22}{28}+\frac{63}{28}\\=\frac{22+63}{28}\\=\frac{85}{28}\)
11. \(-\left(\frac{13}{-14}\right)-\left(\frac{-14}{-3}\right)\\= \frac{13}{14}-\frac{14}{3}\\=\frac{39}{42}-\frac{196}{42}\\=\frac{39-196}{42}\\=\frac{-157}{42}\)
12. \(+\left(\frac{-12}{11}\right)+\left(\frac{3}{2}\right)\\= \frac{-12}{11}+\frac{3}{2}\\=\frac{-24}{22}+\frac{33}{22}\\=\frac{-24+33}{22}\\=\frac{9}{22}\)