Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-12}{7}\right)-\left(\frac{11}{-3}\right)\\= \frac{-12}{7}+\frac{11}{3}\\=\frac{-36}{21}+\frac{77}{21}\\=\frac{-36+77}{21}\\=\frac{41}{21}\)
2. \(+\left(\frac{7}{-13}\right)-\left(\frac{-7}{12}\right)\\= \frac{-7}{13}+\frac{7}{12}\\=\frac{-84}{156}+\frac{91}{156}\\=\frac{-84+91}{156}\\=\frac{7}{156}\)
3. \(-\left(\frac{11}{9}\right)+\left(\frac{11}{-12}\right)\\= \frac{-11}{9}-\frac{11}{12}\\=\frac{-44}{36}-\frac{33}{36}\\=\frac{-44-33}{36}\\=\frac{-77}{36}\)
4. \(+\left(\frac{-7}{-2}\right)+\left(\frac{7}{-9}\right)\\= \frac{7}{2}-\frac{7}{9}\\=\frac{63}{18}-\frac{14}{18}\\=\frac{63-14}{18}\\=\frac{49}{18}\)
5. \(+\left(\frac{-3}{2}\right)-\left(\frac{2}{9}\right)\\= \frac{-3}{2}-\frac{2}{9}\\=\frac{-27}{18}-\frac{4}{18}\\=\frac{-27-4}{18}\\=\frac{-31}{18}\)
6. \(+\left(\frac{-14}{-13}\right)+\left(\frac{4}{-11}\right)\\= \frac{14}{13}-\frac{4}{11}\\=\frac{154}{143}-\frac{52}{143}\\=\frac{154-52}{143}\\=\frac{102}{143}\)
7. \(-\left(\frac{12}{5}\right)+\left(\frac{-8}{-7}\right)\\= \frac{-12}{5}+\frac{8}{7}\\=\frac{-84}{35}+\frac{40}{35}\\=\frac{-84+40}{35}\\=\frac{-44}{35}\)
8. \(+\left(\frac{-15}{-11}\right)+\left(\frac{14}{5}\right)\\= \frac{15}{11}+\frac{14}{5}\\=\frac{75}{55}+\frac{154}{55}\\=\frac{75+154}{55}\\=\frac{229}{55}\)
9. \(+\left(\frac{-7}{-8}\right)-\left(\frac{4}{-3}\right)\\= \frac{7}{8}+\frac{4}{3}\\=\frac{21}{24}+\frac{32}{24}\\=\frac{21+32}{24}\\=\frac{53}{24}\)
10. \(-\left(\frac{-9}{8}\right)+\left(\frac{-11}{9}\right)\\= \frac{9}{8}-\frac{11}{9}\\=\frac{81}{72}-\frac{88}{72}\\=\frac{81-88}{72}\\=\frac{-7}{72}\)
11. \(-\left(\frac{-2}{-11}\right)-\left(\frac{-11}{9}\right)\\= \frac{-2}{11}+\frac{11}{9}\\=\frac{-18}{99}+\frac{121}{99}\\=\frac{-18+121}{99}\\=\frac{103}{99}\)
12. \(-\left(\frac{11}{7}\right)+\left(\frac{10}{3}\right)\\= \frac{-11}{7}+\frac{10}{3}\\=\frac{-33}{21}+\frac{70}{21}\\=\frac{-33+70}{21}\\=\frac{37}{21}\)