Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{6}{11}\right)-\left(\frac{-2}{-7}\right)\\= \frac{6}{11}-\frac{2}{7}\\=\frac{42}{77}-\frac{22}{77}\\=\frac{42-22}{77}\\=\frac{20}{77}\)
2. \(+\left(\frac{-5}{-6}\right)+\left(\frac{9}{-7}\right)\\= \frac{5}{6}-\frac{9}{7}\\=\frac{35}{42}-\frac{54}{42}\\=\frac{35-54}{42}\\=\frac{-19}{42}\)
3. \(+\left(\frac{-10}{9}\right)-\left(\frac{6}{-5}\right)\\= \frac{-10}{9}+\frac{6}{5}\\=\frac{-50}{45}+\frac{54}{45}\\=\frac{-50+54}{45}\\=\frac{4}{45}\)
4. \(+\left(\frac{9}{-7}\right)+\left(\frac{10}{7}\right)\\= \frac{-9}{7}+\frac{10}{7}\\=\frac{-9+10}{7}\\=\frac{1}{7}\)
5. \(-\left(\frac{2}{11}\right)-\left(\frac{2}{-5}\right)\\= \frac{-2}{11}+\frac{2}{5}\\=\frac{-10}{55}+\frac{22}{55}\\=\frac{-10+22}{55}\\=\frac{12}{55}\)
6. \(-\left(\frac{7}{2}\right)-\left(\frac{-11}{14}\right)\\= \frac{-7}{2}+\frac{11}{14}\\=\frac{-49}{14}+\frac{11}{14}\\=\frac{-49+11}{14}\\=\frac{-38}{14}\\=\frac{-19}{7}\)
7. \(+\left(\frac{-2}{-11}\right)-\left(\frac{-3}{-2}\right)\\= \frac{2}{11}-\frac{3}{2}\\=\frac{4}{22}-\frac{33}{22}\\=\frac{4-33}{22}\\=\frac{-29}{22}\)
8. \(-\left(\frac{-10}{7}\right)+\left(\frac{-3}{-11}\right)\\= \frac{10}{7}+\frac{3}{11}\\=\frac{110}{77}+\frac{21}{77}\\=\frac{110+21}{77}\\=\frac{131}{77}\)
9. \(+\left(\frac{14}{13}\right)-\left(\frac{-5}{-6}\right)\\= \frac{14}{13}-\frac{5}{6}\\=\frac{84}{78}-\frac{65}{78}\\=\frac{84-65}{78}\\=\frac{19}{78}\)
10. \(-\left(\frac{-2}{-5}\right)-\left(\frac{13}{9}\right)\\= \frac{-2}{5}-\frac{13}{9}\\=\frac{-18}{45}-\frac{65}{45}\\=\frac{-18-65}{45}\\=\frac{-83}{45}\)
11. \(-\left(\frac{-15}{4}\right)-\left(\frac{4}{3}\right)\\= \frac{15}{4}-\frac{4}{3}\\=\frac{45}{12}-\frac{16}{12}\\=\frac{45-16}{12}\\=\frac{29}{12}\)
12. \(-\left(\frac{-3}{2}\right)-\left(\frac{-7}{2}\right)\\= \frac{3}{2}+\frac{7}{2}\\=\frac{3+7}{2}\\=\frac{10}{2}\\=\frac{5}{1}\)