Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{3}\right)+\left(\frac{12}{-7}\right)\\= \frac{-4}{3}-\frac{12}{7}\\=\frac{-28}{21}-\frac{36}{21}\\=\frac{-28-36}{21}\\=\frac{-64}{21}\)
2. \(-\left(\frac{-5}{-6}\right)-\left(\frac{-14}{-3}\right)\\= \frac{-5}{6}-\frac{14}{3}\\=\frac{-5-14}{6}\\=\frac{-19}{6}\)
3. \(-\left(\frac{-12}{11}\right)+\left(\frac{8}{5}\right)\\= \frac{12}{11}+\frac{8}{5}\\=\frac{60}{55}+\frac{88}{55}\\=\frac{60+88}{55}\\=\frac{148}{55}\)
4. \(-\left(\frac{14}{-3}\right)+\left(\frac{11}{-2}\right)\\= \frac{14}{3}-\frac{11}{2}\\=\frac{28}{6}-\frac{33}{6}\\=\frac{28-33}{6}\\=\frac{-5}{6}\)
5. \(-\left(\frac{-12}{-13}\right)-\left(\frac{-15}{7}\right)\\= \frac{-12}{13}+\frac{15}{7}\\=\frac{-84}{91}+\frac{195}{91}\\=\frac{-84+195}{91}\\=\frac{111}{91}\)
6. \(+\left(\frac{-5}{6}\right)-\left(\frac{-6}{11}\right)\\= \frac{-5}{6}+\frac{6}{11}\\=\frac{-55}{66}+\frac{36}{66}\\=\frac{-55+36}{66}\\=\frac{-19}{66}\)
7. \(+\left(\frac{-11}{7}\right)+\left(\frac{10}{3}\right)\\= \frac{-11}{7}+\frac{10}{3}\\=\frac{-33}{21}+\frac{70}{21}\\=\frac{-33+70}{21}\\=\frac{37}{21}\)
8. \(-\left(\frac{-8}{-5}\right)-\left(\frac{7}{2}\right)\\= \frac{-8}{5}-\frac{7}{2}\\=\frac{-16}{10}-\frac{35}{10}\\=\frac{-16-35}{10}\\=\frac{-51}{10}\)
9. \(+\left(\frac{4}{-7}\right)+\left(\frac{-13}{-4}\right)\\= \frac{-4}{7}+\frac{13}{4}\\=\frac{-16}{28}+\frac{91}{28}\\=\frac{-16+91}{28}\\=\frac{75}{28}\)
10. \(-\left(\frac{5}{11}\right)+\left(\frac{-15}{-2}\right)\\= \frac{-5}{11}+\frac{15}{2}\\=\frac{-10}{22}+\frac{165}{22}\\=\frac{-10+165}{22}\\=\frac{155}{22}\)
11. \(+\left(\frac{11}{-9}\right)-\left(\frac{-5}{-3}\right)\\= \frac{-11}{9}-\frac{5}{3}\\=\frac{-11-5}{9}\\=\frac{-16}{9}\)
12. \(+\left(\frac{-7}{-2}\right)-\left(\frac{2}{-3}\right)\\= \frac{7}{2}+\frac{2}{3}\\=\frac{21}{6}+\frac{4}{6}\\=\frac{21+4}{6}\\=\frac{25}{6}\)