Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{4}\right)+\left(\frac{13}{-8}\right)\\= \frac{3}{4}-\frac{13}{8}\\=\frac{6}{8}-\frac{13}{8}\\=\frac{6-13}{8}\\=\frac{-7}{8}\)
2. \(-\left(\frac{-2}{-9}\right)+\left(\frac{-6}{5}\right)\\= \frac{-2}{9}-\frac{6}{5}\\=\frac{-10}{45}-\frac{54}{45}\\=\frac{-10-54}{45}\\=\frac{-64}{45}\)
3. \(-\left(\frac{-11}{-2}\right)+\left(\frac{-5}{7}\right)\\= \frac{-11}{2}-\frac{5}{7}\\=\frac{-77}{14}-\frac{10}{14}\\=\frac{-77-10}{14}\\=\frac{-87}{14}\)
4. \(-\left(\frac{2}{13}\right)+\left(\frac{7}{-12}\right)\\= \frac{-2}{13}-\frac{7}{12}\\=\frac{-24}{156}-\frac{91}{156}\\=\frac{-24-91}{156}\\=\frac{-115}{156}\)
5. \(-\left(\frac{7}{12}\right)+\left(\frac{12}{-13}\right)\\= \frac{-7}{12}-\frac{12}{13}\\=\frac{-91}{156}-\frac{144}{156}\\=\frac{-91-144}{156}\\=\frac{-235}{156}\)
6. \(-\left(\frac{8}{-9}\right)+\left(\frac{-14}{-13}\right)\\= \frac{8}{9}+\frac{14}{13}\\=\frac{104}{117}+\frac{126}{117}\\=\frac{104+126}{117}\\=\frac{230}{117}\)
7. \(-\left(\frac{14}{3}\right)-\left(\frac{-10}{3}\right)\\= \frac{-14}{3}+\frac{10}{3}\\=\frac{-14+10}{3}\\=\frac{-4}{3}\)
8. \(+\left(\frac{-14}{5}\right)+\left(\frac{-13}{-11}\right)\\= \frac{-14}{5}+\frac{13}{11}\\=\frac{-154}{55}+\frac{65}{55}\\=\frac{-154+65}{55}\\=\frac{-89}{55}\)
9. \(+\left(\frac{-5}{4}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-5}{4}+\frac{6}{5}\\=\frac{-25}{20}+\frac{24}{20}\\=\frac{-25+24}{20}\\=\frac{-1}{20}\)
10. \(-\left(\frac{9}{2}\right)-\left(\frac{3}{-11}\right)\\= \frac{-9}{2}+\frac{3}{11}\\=\frac{-99}{22}+\frac{6}{22}\\=\frac{-99+6}{22}\\=\frac{-93}{22}\)
11. \(+\left(\frac{-11}{2}\right)-\left(\frac{5}{6}\right)\\= \frac{-11}{2}-\frac{5}{6}\\=\frac{-33}{6}-\frac{5}{6}\\=\frac{-33-5}{6}\\=\frac{-38}{6}\\=\frac{-19}{3}\)
12. \(+\left(\frac{12}{-13}\right)-\left(\frac{10}{-3}\right)\\= \frac{-12}{13}+\frac{10}{3}\\=\frac{-36}{39}+\frac{130}{39}\\=\frac{-36+130}{39}\\=\frac{94}{39}\)