Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{-11}\right)+\left(\frac{-3}{-10}\right)\\= \frac{-15}{11}+\frac{3}{10}\\=\frac{-150}{110}+\frac{33}{110}\\=\frac{-150+33}{110}\\=\frac{-117}{110}\)
2. \(-\left(\frac{-5}{-11}\right)+\left(\frac{-15}{2}\right)\\= \frac{-5}{11}-\frac{15}{2}\\=\frac{-10}{22}-\frac{165}{22}\\=\frac{-10-165}{22}\\=\frac{-175}{22}\)
3. \(+\left(\frac{10}{7}\right)-\left(\frac{-5}{12}\right)\\= \frac{10}{7}+\frac{5}{12}\\=\frac{120}{84}+\frac{35}{84}\\=\frac{120+35}{84}\\=\frac{155}{84}\)
4. \(-\left(\frac{12}{-5}\right)-\left(\frac{6}{-11}\right)\\= \frac{12}{5}+\frac{6}{11}\\=\frac{132}{55}+\frac{30}{55}\\=\frac{132+30}{55}\\=\frac{162}{55}\)
5. \(-\left(\frac{2}{11}\right)+\left(\frac{14}{9}\right)\\= \frac{-2}{11}+\frac{14}{9}\\=\frac{-18}{99}+\frac{154}{99}\\=\frac{-18+154}{99}\\=\frac{136}{99}\)
6. \(-\left(\frac{-5}{-8}\right)-\left(\frac{-11}{14}\right)\\= \frac{-5}{8}+\frac{11}{14}\\=\frac{-35}{56}+\frac{44}{56}\\=\frac{-35+44}{56}\\=\frac{9}{56}\)
7. \(-\left(\frac{9}{-11}\right)-\left(\frac{-13}{7}\right)\\= \frac{9}{11}+\frac{13}{7}\\=\frac{63}{77}+\frac{143}{77}\\=\frac{63+143}{77}\\=\frac{206}{77}\)
8. \(-\left(\frac{-12}{-11}\right)+\left(\frac{4}{-11}\right)\\= \frac{-12}{11}-\frac{4}{11}\\=\frac{-12-4}{11}\\=\frac{-16}{11}\)
9. \(+\left(\frac{6}{5}\right)+\left(\frac{11}{-13}\right)\\= \frac{6}{5}-\frac{11}{13}\\=\frac{78}{65}-\frac{55}{65}\\=\frac{78-55}{65}\\=\frac{23}{65}\)
10. \(+\left(\frac{-13}{-11}\right)+\left(\frac{8}{5}\right)\\= \frac{13}{11}+\frac{8}{5}\\=\frac{65}{55}+\frac{88}{55}\\=\frac{65+88}{55}\\=\frac{153}{55}\)
11. \(+\left(\frac{8}{9}\right)-\left(\frac{8}{5}\right)\\= \frac{8}{9}-\frac{8}{5}\\=\frac{40}{45}-\frac{72}{45}\\=\frac{40-72}{45}\\=\frac{-32}{45}\)
12. \(+\left(\frac{15}{11}\right)+\left(\frac{-6}{5}\right)\\= \frac{15}{11}-\frac{6}{5}\\=\frac{75}{55}-\frac{66}{55}\\=\frac{75-66}{55}\\=\frac{9}{55}\)