Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{-3}\right)-\left(\frac{13}{-10}\right)\\= \frac{2}{3}+\frac{13}{10}\\=\frac{20}{30}+\frac{39}{30}\\=\frac{20+39}{30}\\=\frac{59}{30}\)
2. \(-\left(\frac{-6}{-5}\right)+\left(\frac{-7}{-10}\right)\\= \frac{-6}{5}+\frac{7}{10}\\=\frac{-12}{10}+\frac{7}{10}\\=\frac{-12+7}{10}\\=\frac{-5}{10}\\=\frac{-1}{2}\)
3. \(+\left(\frac{10}{3}\right)-\left(\frac{-14}{-13}\right)\\= \frac{10}{3}-\frac{14}{13}\\=\frac{130}{39}-\frac{42}{39}\\=\frac{130-42}{39}\\=\frac{88}{39}\)
4. \(+\left(\frac{-7}{2}\right)+\left(\frac{10}{-3}\right)\\= \frac{-7}{2}-\frac{10}{3}\\=\frac{-21}{6}-\frac{20}{6}\\=\frac{-21-20}{6}\\=\frac{-41}{6}\)
5. \(+\left(\frac{13}{-14}\right)-\left(\frac{2}{-3}\right)\\= \frac{-13}{14}+\frac{2}{3}\\=\frac{-39}{42}+\frac{28}{42}\\=\frac{-39+28}{42}\\=\frac{-11}{42}\)
6. \(-\left(\frac{10}{7}\right)-\left(\frac{5}{13}\right)\\= \frac{-10}{7}-\frac{5}{13}\\=\frac{-130}{91}-\frac{35}{91}\\=\frac{-130-35}{91}\\=\frac{-165}{91}\)
7. \(-\left(\frac{7}{12}\right)+\left(\frac{-14}{3}\right)\\= \frac{-7}{12}-\frac{14}{3}\\=\frac{-7-14}{12}\\=\frac{-21}{12}\\=\frac{-7}{4}\)
8. \(-\left(\frac{-6}{5}\right)-\left(\frac{8}{-11}\right)\\= \frac{6}{5}+\frac{8}{11}\\=\frac{66}{55}+\frac{40}{55}\\=\frac{66+40}{55}\\=\frac{106}{55}\)
9. \(+\left(\frac{6}{-5}\right)-\left(\frac{2}{7}\right)\\= \frac{-6}{5}-\frac{2}{7}\\=\frac{-42}{35}-\frac{10}{35}\\=\frac{-42-10}{35}\\=\frac{-52}{35}\)
10. \(-\left(\frac{-3}{-13}\right)-\left(\frac{-15}{-7}\right)\\= \frac{-3}{13}-\frac{15}{7}\\=\frac{-21}{91}-\frac{195}{91}\\=\frac{-21-195}{91}\\=\frac{-216}{91}\)
11. \(-\left(\frac{-2}{-5}\right)+\left(\frac{-13}{4}\right)\\= \frac{-2}{5}-\frac{13}{4}\\=\frac{-8}{20}-\frac{65}{20}\\=\frac{-8-65}{20}\\=\frac{-73}{20}\)
12. \(-\left(\frac{4}{-3}\right)+\left(\frac{-7}{-2}\right)\\= \frac{4}{3}+\frac{7}{2}\\=\frac{8}{6}+\frac{21}{6}\\=\frac{8+21}{6}\\=\frac{29}{6}\)