Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{-3}\right)-\left(\frac{7}{-5}\right)\\= \frac{-13}{3}+\frac{7}{5}\\=\frac{-65}{15}+\frac{21}{15}\\=\frac{-65+21}{15}\\=\frac{-44}{15}\)
2. \(+\left(\frac{-9}{8}\right)+\left(\frac{-13}{8}\right)\\= \frac{-9}{8}-\frac{13}{8}\\=\frac{-9-13}{8}\\=\frac{-22}{8}\\=\frac{-11}{4}\)
3. \(-\left(\frac{5}{11}\right)+\left(\frac{-9}{-5}\right)\\= \frac{-5}{11}+\frac{9}{5}\\=\frac{-25}{55}+\frac{99}{55}\\=\frac{-25+99}{55}\\=\frac{74}{55}\)
4. \(-\left(\frac{11}{9}\right)-\left(\frac{-5}{-9}\right)\\= \frac{-11}{9}-\frac{5}{9}\\=\frac{-11-5}{9}\\=\frac{-16}{9}\)
5. \(-\left(\frac{-3}{14}\right)+\left(\frac{9}{7}\right)\\= \frac{3}{14}+\frac{9}{7}\\=\frac{3+9}{14}\\=\frac{12}{14}\\=\frac{6}{7}\)
6. \(-\left(\frac{6}{-5}\right)+\left(\frac{-13}{-11}\right)\\= \frac{6}{5}+\frac{13}{11}\\=\frac{66}{55}+\frac{65}{55}\\=\frac{66+65}{55}\\=\frac{131}{55}\)
7. \(-\left(\frac{6}{-7}\right)+\left(\frac{-4}{5}\right)\\= \frac{6}{7}-\frac{4}{5}\\=\frac{30}{35}-\frac{28}{35}\\=\frac{30-28}{35}\\=\frac{2}{35}\)
8. \(-\left(\frac{-2}{13}\right)+\left(\frac{14}{-13}\right)\\= \frac{2}{13}-\frac{14}{13}\\=\frac{2-14}{13}\\=\frac{-12}{13}\)
9. \(-\left(\frac{-7}{5}\right)+\left(\frac{3}{7}\right)\\= \frac{7}{5}+\frac{3}{7}\\=\frac{49}{35}+\frac{15}{35}\\=\frac{49+15}{35}\\=\frac{64}{35}\)
10. \(+\left(\frac{-12}{-13}\right)-\left(\frac{10}{-3}\right)\\= \frac{12}{13}+\frac{10}{3}\\=\frac{36}{39}+\frac{130}{39}\\=\frac{36+130}{39}\\=\frac{166}{39}\)
11. \(+\left(\frac{-12}{5}\right)-\left(\frac{-9}{-10}\right)\\= \frac{-12}{5}-\frac{9}{10}\\=\frac{-24}{10}-\frac{9}{10}\\=\frac{-24-9}{10}\\=\frac{-33}{10}\)
12. \(-\left(\frac{15}{11}\right)+\left(\frac{-3}{11}\right)\\= \frac{-15}{11}-\frac{3}{11}\\=\frac{-15-3}{11}\\=\frac{-18}{11}\)