Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{11}{-9}\right)+\left(\frac{-12}{5}\right)\\= \frac{-11}{9}-\frac{12}{5}\\=\frac{-55}{45}-\frac{108}{45}\\=\frac{-55-108}{45}\\=\frac{-163}{45}\)
2. \(+\left(\frac{-13}{5}\right)+\left(\frac{-2}{-13}\right)\\= \frac{-13}{5}+\frac{2}{13}\\=\frac{-169}{65}+\frac{10}{65}\\=\frac{-169+10}{65}\\=\frac{-159}{65}\)
3. \(+\left(\frac{-3}{-2}\right)-\left(\frac{2}{11}\right)\\= \frac{3}{2}-\frac{2}{11}\\=\frac{33}{22}-\frac{4}{22}\\=\frac{33-4}{22}\\=\frac{29}{22}\)
4. \(+\left(\frac{9}{13}\right)+\left(\frac{-12}{7}\right)\\= \frac{9}{13}-\frac{12}{7}\\=\frac{63}{91}-\frac{156}{91}\\=\frac{63-156}{91}\\=\frac{-93}{91}\)
5. \(-\left(\frac{11}{-8}\right)+\left(\frac{4}{7}\right)\\= \frac{11}{8}+\frac{4}{7}\\=\frac{77}{56}+\frac{32}{56}\\=\frac{77+32}{56}\\=\frac{109}{56}\)
6. \(-\left(\frac{14}{-9}\right)-\left(\frac{13}{14}\right)\\= \frac{14}{9}-\frac{13}{14}\\=\frac{196}{126}-\frac{117}{126}\\=\frac{196-117}{126}\\=\frac{79}{126}\)
7. \(+\left(\frac{7}{4}\right)+\left(\frac{7}{-13}\right)\\= \frac{7}{4}-\frac{7}{13}\\=\frac{91}{52}-\frac{28}{52}\\=\frac{91-28}{52}\\=\frac{63}{52}\)
8. \(+\left(\frac{4}{-7}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-4}{7}-\frac{6}{5}\\=\frac{-20}{35}-\frac{42}{35}\\=\frac{-20-42}{35}\\=\frac{-62}{35}\)
9. \(+\left(\frac{10}{-3}\right)-\left(\frac{2}{5}\right)\\= \frac{-10}{3}-\frac{2}{5}\\=\frac{-50}{15}-\frac{6}{15}\\=\frac{-50-6}{15}\\=\frac{-56}{15}\)
10. \(+\left(\frac{-7}{6}\right)+\left(\frac{-9}{13}\right)\\= \frac{-7}{6}-\frac{9}{13}\\=\frac{-91}{78}-\frac{54}{78}\\=\frac{-91-54}{78}\\=\frac{-145}{78}\)
11. \(+\left(\frac{-5}{-9}\right)-\left(\frac{2}{5}\right)\\= \frac{5}{9}-\frac{2}{5}\\=\frac{25}{45}-\frac{18}{45}\\=\frac{25-18}{45}\\=\frac{7}{45}\)
12. \(-\left(\frac{6}{-11}\right)+\left(\frac{-2}{13}\right)\\= \frac{6}{11}-\frac{2}{13}\\=\frac{78}{143}-\frac{22}{143}\\=\frac{78-22}{143}\\=\frac{56}{143}\)