Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{-5}\right)-\left(\frac{-5}{-6}\right)\\= \frac{-12}{5}-\frac{5}{6}\\=\frac{-72}{30}-\frac{25}{30}\\=\frac{-72-25}{30}\\=\frac{-97}{30}\)
2. \(+\left(\frac{7}{-8}\right)+\left(\frac{-4}{3}\right)\\= \frac{-7}{8}-\frac{4}{3}\\=\frac{-21}{24}-\frac{32}{24}\\=\frac{-21-32}{24}\\=\frac{-53}{24}\)
3. \(-\left(\frac{-11}{12}\right)+\left(\frac{-2}{-5}\right)\\= \frac{11}{12}+\frac{2}{5}\\=\frac{55}{60}+\frac{24}{60}\\=\frac{55+24}{60}\\=\frac{79}{60}\)
4. \(-\left(\frac{2}{5}\right)-\left(\frac{-9}{-2}\right)\\= \frac{-2}{5}-\frac{9}{2}\\=\frac{-4}{10}-\frac{45}{10}\\=\frac{-4-45}{10}\\=\frac{-49}{10}\)
5. \(+\left(\frac{11}{4}\right)+\left(\frac{10}{11}\right)\\= \frac{11}{4}+\frac{10}{11}\\=\frac{121}{44}+\frac{40}{44}\\=\frac{121+40}{44}\\=\frac{161}{44}\)
6. \(+\left(\frac{-14}{9}\right)+\left(\frac{2}{-3}\right)\\= \frac{-14}{9}-\frac{2}{3}\\=\frac{-14-2}{9}\\=\frac{-16}{9}\)
7. \(+\left(\frac{-15}{-7}\right)+\left(\frac{-12}{7}\right)\\= \frac{15}{7}-\frac{12}{7}\\=\frac{15-12}{7}\\=\frac{3}{7}\)
8. \(+\left(\frac{-3}{13}\right)-\left(\frac{-2}{11}\right)\\= \frac{-3}{13}+\frac{2}{11}\\=\frac{-33}{143}+\frac{26}{143}\\=\frac{-33+26}{143}\\=\frac{-7}{143}\)
9. \(-\left(\frac{3}{2}\right)+\left(\frac{-15}{-4}\right)\\= \frac{-3}{2}+\frac{15}{4}\\=\frac{-6}{4}+\frac{15}{4}\\=\frac{-6+15}{4}\\=\frac{9}{4}\)
10. \(-\left(\frac{3}{13}\right)+\left(\frac{3}{-7}\right)\\= \frac{-3}{13}-\frac{3}{7}\\=\frac{-21}{91}-\frac{39}{91}\\=\frac{-21-39}{91}\\=\frac{-60}{91}\)
11. \(-\left(\frac{13}{-14}\right)+\left(\frac{13}{7}\right)\\= \frac{13}{14}+\frac{13}{7}\\=\frac{13+13}{14}\\=\frac{26}{14}\\=\frac{13}{7}\)
12. \(-\left(\frac{-3}{2}\right)+\left(\frac{-6}{11}\right)\\= \frac{3}{2}-\frac{6}{11}\\=\frac{33}{22}-\frac{12}{22}\\=\frac{33-12}{22}\\=\frac{21}{22}\)