Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{-3}\right)+\left(\frac{4}{-13}\right)\\= \frac{-2}{3}-\frac{4}{13}\\=\frac{-26}{39}-\frac{12}{39}\\=\frac{-26-12}{39}\\=\frac{-38}{39}\)
2. \(-\left(\frac{-12}{-5}\right)-\left(\frac{4}{13}\right)\\= \frac{-12}{5}-\frac{4}{13}\\=\frac{-156}{65}-\frac{20}{65}\\=\frac{-156-20}{65}\\=\frac{-176}{65}\)
3. \(+\left(\frac{14}{-5}\right)+\left(\frac{-13}{-4}\right)\\= \frac{-14}{5}+\frac{13}{4}\\=\frac{-56}{20}+\frac{65}{20}\\=\frac{-56+65}{20}\\=\frac{9}{20}\)
4. \(-\left(\frac{13}{-9}\right)-\left(\frac{8}{9}\right)\\= \frac{13}{9}-\frac{8}{9}\\=\frac{13-8}{9}\\=\frac{5}{9}\)
5. \(+\left(\frac{-10}{-11}\right)+\left(\frac{9}{-7}\right)\\= \frac{10}{11}-\frac{9}{7}\\=\frac{70}{77}-\frac{99}{77}\\=\frac{70-99}{77}\\=\frac{-29}{77}\)
6. \(-\left(\frac{-15}{7}\right)-\left(\frac{-3}{-7}\right)\\= \frac{15}{7}-\frac{3}{7}\\=\frac{15-3}{7}\\=\frac{12}{7}\)
7. \(+\left(\frac{8}{-13}\right)+\left(\frac{4}{-3}\right)\\= \frac{-8}{13}-\frac{4}{3}\\=\frac{-24}{39}-\frac{52}{39}\\=\frac{-24-52}{39}\\=\frac{-76}{39}\)
8. \(-\left(\frac{-6}{5}\right)+\left(\frac{8}{-5}\right)\\= \frac{6}{5}-\frac{8}{5}\\=\frac{6-8}{5}\\=\frac{-2}{5}\)
9. \(-\left(\frac{-10}{13}\right)+\left(\frac{14}{3}\right)\\= \frac{10}{13}+\frac{14}{3}\\=\frac{30}{39}+\frac{182}{39}\\=\frac{30+182}{39}\\=\frac{212}{39}\)
10. \(+\left(\frac{7}{-8}\right)-\left(\frac{-15}{-11}\right)\\= \frac{-7}{8}-\frac{15}{11}\\=\frac{-77}{88}-\frac{120}{88}\\=\frac{-77-120}{88}\\=\frac{-197}{88}\)
11. \(+\left(\frac{11}{-13}\right)-\left(\frac{3}{7}\right)\\= \frac{-11}{13}-\frac{3}{7}\\=\frac{-77}{91}-\frac{39}{91}\\=\frac{-77-39}{91}\\=\frac{-116}{91}\)
12. \(-\left(\frac{-15}{-11}\right)+\left(\frac{3}{-5}\right)\\= \frac{-15}{11}-\frac{3}{5}\\=\frac{-75}{55}-\frac{33}{55}\\=\frac{-75-33}{55}\\=\frac{-108}{55}\)