Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{13}\right)+\left(\frac{-3}{7}\right)\\= \frac{4}{13}-\frac{3}{7}\\=\frac{28}{91}-\frac{39}{91}\\=\frac{28-39}{91}\\=\frac{-11}{91}\)
2. \(-\left(\frac{5}{-9}\right)-\left(\frac{-7}{5}\right)\\= \frac{5}{9}+\frac{7}{5}\\=\frac{25}{45}+\frac{63}{45}\\=\frac{25+63}{45}\\=\frac{88}{45}\)
3. \(+\left(\frac{14}{-3}\right)-\left(\frac{-14}{9}\right)\\= \frac{-14}{3}+\frac{14}{9}\\=\frac{-42}{9}+\frac{14}{9}\\=\frac{-42+14}{9}\\=\frac{-28}{9}\)
4. \(+\left(\frac{12}{7}\right)-\left(\frac{11}{14}\right)\\= \frac{12}{7}-\frac{11}{14}\\=\frac{24}{14}-\frac{11}{14}\\=\frac{24-11}{14}\\=\frac{13}{14}\)
5. \(+\left(\frac{-5}{6}\right)+\left(\frac{-2}{3}\right)\\= \frac{-5}{6}-\frac{2}{3}\\=\frac{-5-2}{6}\\=\frac{-7}{6}\)
6. \(-\left(\frac{-3}{-13}\right)-\left(\frac{7}{-2}\right)\\= \frac{-3}{13}+\frac{7}{2}\\=\frac{-6}{26}+\frac{91}{26}\\=\frac{-6+91}{26}\\=\frac{85}{26}\)
7. \(+\left(\frac{-14}{-9}\right)-\left(\frac{-14}{9}\right)\\= \frac{14}{9}+\frac{14}{9}\\=\frac{14+14}{9}\\=\frac{28}{9}\)
8. \(+\left(\frac{6}{11}\right)-\left(\frac{-15}{11}\right)\\= \frac{6}{11}+\frac{15}{11}\\=\frac{6+15}{11}\\=\frac{21}{11}\)
9. \(-\left(\frac{7}{8}\right)-\left(\frac{-8}{-11}\right)\\= \frac{-7}{8}-\frac{8}{11}\\=\frac{-77}{88}-\frac{64}{88}\\=\frac{-77-64}{88}\\=\frac{-141}{88}\)
10. \(-\left(\frac{13}{14}\right)+\left(\frac{10}{11}\right)\\= \frac{-13}{14}+\frac{10}{11}\\=\frac{-143}{154}+\frac{140}{154}\\=\frac{-143+140}{154}\\=\frac{-3}{154}\)
11. \(-\left(\frac{-15}{7}\right)+\left(\frac{-9}{-2}\right)\\= \frac{15}{7}+\frac{9}{2}\\=\frac{30}{14}+\frac{63}{14}\\=\frac{30+63}{14}\\=\frac{93}{14}\)
12. \(+\left(\frac{-15}{4}\right)+\left(\frac{12}{-11}\right)\\= \frac{-15}{4}-\frac{12}{11}\\=\frac{-165}{44}-\frac{48}{44}\\=\frac{-165-48}{44}\\=\frac{-213}{44}\)