Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{10}{-7}\right)-\left(\frac{-15}{-2}\right)\\= \frac{-10}{7}-\frac{15}{2}\\=\frac{-20}{14}-\frac{105}{14}\\=\frac{-20-105}{14}\\=\frac{-125}{14}\)
2. \(+\left(\frac{15}{-4}\right)+\left(\frac{-6}{-13}\right)\\= \frac{-15}{4}+\frac{6}{13}\\=\frac{-195}{52}+\frac{24}{52}\\=\frac{-195+24}{52}\\=\frac{-171}{52}\)
3. \(+\left(\frac{3}{-14}\right)+\left(\frac{-9}{-7}\right)\\= \frac{-3}{14}+\frac{9}{7}\\=\frac{-3+9}{14}\\=\frac{6}{14}\\=\frac{3}{7}\)
4. \(-\left(\frac{13}{9}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-13}{9}+\frac{12}{5}\\=\frac{-65}{45}+\frac{108}{45}\\=\frac{-65+108}{45}\\=\frac{43}{45}\)
5. \(+\left(\frac{-8}{9}\right)+\left(\frac{14}{-3}\right)\\= \frac{-8}{9}-\frac{14}{3}\\=\frac{-8-14}{9}\\=\frac{-22}{9}\)
6. \(+\left(\frac{13}{2}\right)+\left(\frac{-13}{3}\right)\\= \frac{13}{2}-\frac{13}{3}\\=\frac{39}{6}-\frac{26}{6}\\=\frac{39-26}{6}\\=\frac{13}{6}\)
7. \(-\left(\frac{-2}{5}\right)-\left(\frac{12}{11}\right)\\= \frac{2}{5}-\frac{12}{11}\\=\frac{22}{55}-\frac{60}{55}\\=\frac{22-60}{55}\\=\frac{-38}{55}\)
8. \(+\left(\frac{-14}{13}\right)-\left(\frac{-2}{5}\right)\\= \frac{-14}{13}+\frac{2}{5}\\=\frac{-70}{65}+\frac{26}{65}\\=\frac{-70+26}{65}\\=\frac{-44}{65}\)
9. \(+\left(\frac{-8}{9}\right)+\left(\frac{8}{-7}\right)\\= \frac{-8}{9}-\frac{8}{7}\\=\frac{-56}{63}-\frac{72}{63}\\=\frac{-56-72}{63}\\=\frac{-128}{63}\)
10. \(+\left(\frac{-6}{13}\right)-\left(\frac{-13}{-7}\right)\\= \frac{-6}{13}-\frac{13}{7}\\=\frac{-42}{91}-\frac{169}{91}\\=\frac{-42-169}{91}\\=\frac{-211}{91}\)
11. \(+\left(\frac{4}{-13}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-4}{13}+\frac{12}{5}\\=\frac{-20}{65}+\frac{156}{65}\\=\frac{-20+156}{65}\\=\frac{136}{65}\)
12. \(+\left(\frac{-12}{13}\right)-\left(\frac{-10}{-3}\right)\\= \frac{-12}{13}-\frac{10}{3}\\=\frac{-36}{39}-\frac{130}{39}\\=\frac{-36-130}{39}\\=\frac{-166}{39}\)