Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-11}{-13}\right)-\left(\frac{-15}{-11}\right)\\= \frac{11}{13}-\frac{15}{11}\\=\frac{121}{143}-\frac{195}{143}\\=\frac{121-195}{143}\\=\frac{-74}{143}\)
2. \(+\left(\frac{4}{3}\right)-\left(\frac{-11}{4}\right)\\= \frac{4}{3}+\frac{11}{4}\\=\frac{16}{12}+\frac{33}{12}\\=\frac{16+33}{12}\\=\frac{49}{12}\)
3. \(-\left(\frac{12}{7}\right)+\left(\frac{-7}{6}\right)\\= \frac{-12}{7}-\frac{7}{6}\\=\frac{-72}{42}-\frac{49}{42}\\=\frac{-72-49}{42}\\=\frac{-121}{42}\)
4. \(+\left(\frac{10}{-7}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-10}{7}+\frac{6}{11}\\=\frac{-110}{77}+\frac{42}{77}\\=\frac{-110+42}{77}\\=\frac{-68}{77}\)
5. \(+\left(\frac{15}{-2}\right)+\left(\frac{5}{-6}\right)\\= \frac{-15}{2}-\frac{5}{6}\\=\frac{-45}{6}-\frac{5}{6}\\=\frac{-45-5}{6}\\=\frac{-50}{6}\\=\frac{-25}{3}\)
6. \(-\left(\frac{9}{2}\right)+\left(\frac{14}{9}\right)\\= \frac{-9}{2}+\frac{14}{9}\\=\frac{-81}{18}+\frac{28}{18}\\=\frac{-81+28}{18}\\=\frac{-53}{18}\)
7. \(-\left(\frac{9}{-13}\right)+\left(\frac{6}{5}\right)\\= \frac{9}{13}+\frac{6}{5}\\=\frac{45}{65}+\frac{78}{65}\\=\frac{45+78}{65}\\=\frac{123}{65}\)
8. \(+\left(\frac{7}{-13}\right)-\left(\frac{-14}{3}\right)\\= \frac{-7}{13}+\frac{14}{3}\\=\frac{-21}{39}+\frac{182}{39}\\=\frac{-21+182}{39}\\=\frac{161}{39}\)
9. \(+\left(\frac{-3}{-8}\right)-\left(\frac{2}{-13}\right)\\= \frac{3}{8}+\frac{2}{13}\\=\frac{39}{104}+\frac{16}{104}\\=\frac{39+16}{104}\\=\frac{55}{104}\)
10. \(+\left(\frac{-7}{12}\right)-\left(\frac{-11}{-9}\right)\\= \frac{-7}{12}-\frac{11}{9}\\=\frac{-21}{36}-\frac{44}{36}\\=\frac{-21-44}{36}\\=\frac{-65}{36}\)
11. \(+\left(\frac{-7}{2}\right)-\left(\frac{-7}{10}\right)\\= \frac{-7}{2}+\frac{7}{10}\\=\frac{-35}{10}+\frac{7}{10}\\=\frac{-35+7}{10}\\=\frac{-28}{10}\\=\frac{-14}{5}\)
12. \(-\left(\frac{9}{10}\right)-\left(\frac{7}{-12}\right)\\= \frac{-9}{10}+\frac{7}{12}\\=\frac{-54}{60}+\frac{35}{60}\\=\frac{-54+35}{60}\\=\frac{-19}{60}\)