Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{-5}\right)+\left(\frac{4}{-5}\right)\\= \frac{-2}{5}-\frac{4}{5}\\=\frac{-2-4}{5}\\=\frac{-6}{5}\)
2. \(+\left(\frac{6}{-11}\right)+\left(\frac{-12}{11}\right)\\= \frac{-6}{11}-\frac{12}{11}\\=\frac{-6-12}{11}\\=\frac{-18}{11}\)
3. \(+\left(\frac{10}{7}\right)+\left(\frac{9}{-4}\right)\\= \frac{10}{7}-\frac{9}{4}\\=\frac{40}{28}-\frac{63}{28}\\=\frac{40-63}{28}\\=\frac{-23}{28}\)
4. \(+\left(\frac{-3}{2}\right)-\left(\frac{-7}{-3}\right)\\= \frac{-3}{2}-\frac{7}{3}\\=\frac{-9}{6}-\frac{14}{6}\\=\frac{-9-14}{6}\\=\frac{-23}{6}\)
5. \(+\left(\frac{9}{4}\right)+\left(\frac{-12}{5}\right)\\= \frac{9}{4}-\frac{12}{5}\\=\frac{45}{20}-\frac{48}{20}\\=\frac{45-48}{20}\\=\frac{-3}{20}\)
6. \(+\left(\frac{11}{-3}\right)-\left(\frac{3}{8}\right)\\= \frac{-11}{3}-\frac{3}{8}\\=\frac{-88}{24}-\frac{9}{24}\\=\frac{-88-9}{24}\\=\frac{-97}{24}\)
7. \(+\left(\frac{3}{4}\right)+\left(\frac{-6}{5}\right)\\= \frac{3}{4}-\frac{6}{5}\\=\frac{15}{20}-\frac{24}{20}\\=\frac{15-24}{20}\\=\frac{-9}{20}\)
8. \(-\left(\frac{13}{-11}\right)+\left(\frac{7}{-3}\right)\\= \frac{13}{11}-\frac{7}{3}\\=\frac{39}{33}-\frac{77}{33}\\=\frac{39-77}{33}\\=\frac{-38}{33}\)
9. \(+\left(\frac{8}{-13}\right)+\left(\frac{-13}{2}\right)\\= \frac{-8}{13}-\frac{13}{2}\\=\frac{-16}{26}-\frac{169}{26}\\=\frac{-16-169}{26}\\=\frac{-185}{26}\)
10. \(+\left(\frac{-9}{2}\right)+\left(\frac{-4}{3}\right)\\= \frac{-9}{2}-\frac{4}{3}\\=\frac{-27}{6}-\frac{8}{6}\\=\frac{-27-8}{6}\\=\frac{-35}{6}\)
11. \(-\left(\frac{6}{-5}\right)+\left(\frac{13}{-7}\right)\\= \frac{6}{5}-\frac{13}{7}\\=\frac{42}{35}-\frac{65}{35}\\=\frac{42-65}{35}\\=\frac{-23}{35}\)
12. \(+\left(\frac{2}{-5}\right)+\left(\frac{-5}{-2}\right)\\= \frac{-2}{5}+\frac{5}{2}\\=\frac{-4}{10}+\frac{25}{10}\\=\frac{-4+25}{10}\\=\frac{21}{10}\)