Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{7}\right)+\left(\frac{5}{2}\right)\\= \frac{12}{7}+\frac{5}{2}\\=\frac{24}{14}+\frac{35}{14}\\=\frac{24+35}{14}\\=\frac{59}{14}\)
2. \(-\left(\frac{8}{-3}\right)-\left(\frac{-7}{12}\right)\\= \frac{8}{3}+\frac{7}{12}\\=\frac{32}{12}+\frac{7}{12}\\=\frac{32+7}{12}\\=\frac{39}{12}\\=\frac{13}{4}\)
3. \(-\left(\frac{-12}{-11}\right)-\left(\frac{-15}{-4}\right)\\= \frac{-12}{11}-\frac{15}{4}\\=\frac{-48}{44}-\frac{165}{44}\\=\frac{-48-165}{44}\\=\frac{-213}{44}\)
4. \(+\left(\frac{7}{-12}\right)+\left(\frac{-14}{13}\right)\\= \frac{-7}{12}-\frac{14}{13}\\=\frac{-91}{156}-\frac{168}{156}\\=\frac{-91-168}{156}\\=\frac{-259}{156}\)
5. \(+\left(\frac{-14}{9}\right)-\left(\frac{-14}{-3}\right)\\= \frac{-14}{9}-\frac{14}{3}\\=\frac{-14-14}{9}\\=\frac{-28}{9}\)
6. \(+\left(\frac{-8}{13}\right)-\left(\frac{4}{11}\right)\\= \frac{-8}{13}-\frac{4}{11}\\=\frac{-88}{143}-\frac{52}{143}\\=\frac{-88-52}{143}\\=\frac{-140}{143}\)
7. \(+\left(\frac{-15}{2}\right)-\left(\frac{-5}{-12}\right)\\= \frac{-15}{2}-\frac{5}{12}\\=\frac{-90}{12}-\frac{5}{12}\\=\frac{-90-5}{12}\\=\frac{-95}{12}\)
8. \(-\left(\frac{-4}{11}\right)-\left(\frac{6}{-7}\right)\\= \frac{4}{11}+\frac{6}{7}\\=\frac{28}{77}+\frac{66}{77}\\=\frac{28+66}{77}\\=\frac{94}{77}\)
9. \(-\left(\frac{-3}{7}\right)-\left(\frac{-14}{13}\right)\\= \frac{3}{7}+\frac{14}{13}\\=\frac{39}{91}+\frac{98}{91}\\=\frac{39+98}{91}\\=\frac{137}{91}\)
10. \(-\left(\frac{-4}{5}\right)+\left(\frac{-2}{9}\right)\\= \frac{4}{5}-\frac{2}{9}\\=\frac{36}{45}-\frac{10}{45}\\=\frac{36-10}{45}\\=\frac{26}{45}\)
11. \(-\left(\frac{-7}{-3}\right)+\left(\frac{15}{2}\right)\\= \frac{-7}{3}+\frac{15}{2}\\=\frac{-14}{6}+\frac{45}{6}\\=\frac{-14+45}{6}\\=\frac{31}{6}\)
12. \(+\left(\frac{-4}{9}\right)+\left(\frac{-7}{-2}\right)\\= \frac{-4}{9}+\frac{7}{2}\\=\frac{-8}{18}+\frac{63}{18}\\=\frac{-8+63}{18}\\=\frac{55}{18}\)