Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{9}{-10}\right)-\left(\frac{8}{5}\right)\\= \frac{9}{10}-\frac{8}{5}\\=\frac{9-8}{10}\\=\frac{1}{10}\)
2. \(-\left(\frac{15}{-11}\right)-\left(\frac{10}{-3}\right)\\= \frac{15}{11}+\frac{10}{3}\\=\frac{45}{33}+\frac{110}{33}\\=\frac{45+110}{33}\\=\frac{155}{33}\)
3. \(+\left(\frac{-4}{3}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-4}{3}+\frac{4}{3}\\=\frac{-4+4}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)
4. \(+\left(\frac{-9}{13}\right)+\left(\frac{-2}{-3}\right)\\= \frac{-9}{13}+\frac{2}{3}\\=\frac{-27}{39}+\frac{26}{39}\\=\frac{-27+26}{39}\\=\frac{-1}{39}\)
5. \(-\left(\frac{-12}{-5}\right)-\left(\frac{-13}{-4}\right)\\= \frac{-12}{5}-\frac{13}{4}\\=\frac{-48}{20}-\frac{65}{20}\\=\frac{-48-65}{20}\\=\frac{-113}{20}\)
6. \(+\left(\frac{14}{9}\right)-\left(\frac{-13}{-5}\right)\\= \frac{14}{9}-\frac{13}{5}\\=\frac{70}{45}-\frac{117}{45}\\=\frac{70-117}{45}\\=\frac{-47}{45}\)
7. \(+\left(\frac{12}{11}\right)+\left(\frac{3}{2}\right)\\= \frac{12}{11}+\frac{3}{2}\\=\frac{24}{22}+\frac{33}{22}\\=\frac{24+33}{22}\\=\frac{57}{22}\)
8. \(-\left(\frac{-7}{8}\right)+\left(\frac{-9}{-7}\right)\\= \frac{7}{8}+\frac{9}{7}\\=\frac{49}{56}+\frac{72}{56}\\=\frac{49+72}{56}\\=\frac{121}{56}\)
9. \(-\left(\frac{-10}{-7}\right)+\left(\frac{-8}{3}\right)\\= \frac{-10}{7}-\frac{8}{3}\\=\frac{-30}{21}-\frac{56}{21}\\=\frac{-30-56}{21}\\=\frac{-86}{21}\)
10. \(+\left(\frac{-9}{7}\right)-\left(\frac{-4}{-5}\right)\\= \frac{-9}{7}-\frac{4}{5}\\=\frac{-45}{35}-\frac{28}{35}\\=\frac{-45-28}{35}\\=\frac{-73}{35}\)
11. \(-\left(\frac{9}{-5}\right)+\left(\frac{-12}{11}\right)\\= \frac{9}{5}-\frac{12}{11}\\=\frac{99}{55}-\frac{60}{55}\\=\frac{99-60}{55}\\=\frac{39}{55}\)
12. \(+\left(\frac{7}{-2}\right)+\left(\frac{10}{-7}\right)\\= \frac{-7}{2}-\frac{10}{7}\\=\frac{-49}{14}-\frac{20}{14}\\=\frac{-49-20}{14}\\=\frac{-69}{14}\)