Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{15}{2}\right)+\left(\frac{-12}{7}\right)\\= \frac{15}{2}-\frac{12}{7}\\=\frac{105}{14}-\frac{24}{14}\\=\frac{105-24}{14}\\=\frac{81}{14}\)
2. \(-\left(\frac{7}{-5}\right)+\left(\frac{-7}{9}\right)\\= \frac{7}{5}-\frac{7}{9}\\=\frac{63}{45}-\frac{35}{45}\\=\frac{63-35}{45}\\=\frac{28}{45}\)
3. \(-\left(\frac{6}{-13}\right)+\left(\frac{-9}{-5}\right)\\= \frac{6}{13}+\frac{9}{5}\\=\frac{30}{65}+\frac{117}{65}\\=\frac{30+117}{65}\\=\frac{147}{65}\)
4. \(+\left(\frac{-10}{11}\right)-\left(\frac{-6}{7}\right)\\= \frac{-10}{11}+\frac{6}{7}\\=\frac{-70}{77}+\frac{66}{77}\\=\frac{-70+66}{77}\\=\frac{-4}{77}\)
5. \(+\left(\frac{8}{-11}\right)-\left(\frac{-13}{-9}\right)\\= \frac{-8}{11}-\frac{13}{9}\\=\frac{-72}{99}-\frac{143}{99}\\=\frac{-72-143}{99}\\=\frac{-215}{99}\)
6. \(-\left(\frac{-9}{-5}\right)-\left(\frac{-7}{5}\right)\\= \frac{-9}{5}+\frac{7}{5}\\=\frac{-9+7}{5}\\=\frac{-2}{5}\)
7. \(+\left(\frac{-13}{-14}\right)+\left(\frac{9}{8}\right)\\= \frac{13}{14}+\frac{9}{8}\\=\frac{52}{56}+\frac{63}{56}\\=\frac{52+63}{56}\\=\frac{115}{56}\)
8. \(+\left(\frac{3}{-4}\right)+\left(\frac{-3}{4}\right)\\= \frac{-3}{4}-\frac{3}{4}\\=\frac{-3-3}{4}\\=\frac{-6}{4}\\=\frac{-3}{2}\)
9. \(-\left(\frac{-12}{-5}\right)+\left(\frac{-12}{-13}\right)\\= \frac{-12}{5}+\frac{12}{13}\\=\frac{-156}{65}+\frac{60}{65}\\=\frac{-156+60}{65}\\=\frac{-96}{65}\)
10. \(-\left(\frac{8}{11}\right)-\left(\frac{9}{-2}\right)\\= \frac{-8}{11}+\frac{9}{2}\\=\frac{-16}{22}+\frac{99}{22}\\=\frac{-16+99}{22}\\=\frac{83}{22}\)
11. \(-\left(\frac{2}{-7}\right)-\left(\frac{-9}{4}\right)\\= \frac{2}{7}+\frac{9}{4}\\=\frac{8}{28}+\frac{63}{28}\\=\frac{8+63}{28}\\=\frac{71}{28}\)
12. \(-\left(\frac{-14}{9}\right)-\left(\frac{14}{11}\right)\\= \frac{14}{9}-\frac{14}{11}\\=\frac{154}{99}-\frac{126}{99}\\=\frac{154-126}{99}\\=\frac{28}{99}\)