Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{8}{13}\right)-\left(\frac{15}{7}\right)\\= \frac{-8}{13}-\frac{15}{7}\\=\frac{-56}{91}-\frac{195}{91}\\=\frac{-56-195}{91}\\=\frac{-251}{91}\)
2. \(-\left(\frac{-6}{-11}\right)-\left(\frac{-12}{5}\right)\\= \frac{-6}{11}+\frac{12}{5}\\=\frac{-30}{55}+\frac{132}{55}\\=\frac{-30+132}{55}\\=\frac{102}{55}\)
3. \(-\left(\frac{-11}{5}\right)+\left(\frac{-11}{4}\right)\\= \frac{11}{5}-\frac{11}{4}\\=\frac{44}{20}-\frac{55}{20}\\=\frac{44-55}{20}\\=\frac{-11}{20}\)
4. \(-\left(\frac{5}{-6}\right)-\left(\frac{3}{-4}\right)\\= \frac{5}{6}+\frac{3}{4}\\=\frac{10}{12}+\frac{9}{12}\\=\frac{10+9}{12}\\=\frac{19}{12}\)
5. \(+\left(\frac{9}{7}\right)+\left(\frac{-2}{9}\right)\\= \frac{9}{7}-\frac{2}{9}\\=\frac{81}{63}-\frac{14}{63}\\=\frac{81-14}{63}\\=\frac{67}{63}\)
6. \(+\left(\frac{14}{9}\right)+\left(\frac{7}{-2}\right)\\= \frac{14}{9}-\frac{7}{2}\\=\frac{28}{18}-\frac{63}{18}\\=\frac{28-63}{18}\\=\frac{-35}{18}\)
7. \(-\left(\frac{-11}{-12}\right)-\left(\frac{-6}{-11}\right)\\= \frac{-11}{12}-\frac{6}{11}\\=\frac{-121}{132}-\frac{72}{132}\\=\frac{-121-72}{132}\\=\frac{-193}{132}\)
8. \(+\left(\frac{-10}{-7}\right)+\left(\frac{14}{-9}\right)\\= \frac{10}{7}-\frac{14}{9}\\=\frac{90}{63}-\frac{98}{63}\\=\frac{90-98}{63}\\=\frac{-8}{63}\)
9. \(+\left(\frac{-3}{7}\right)+\left(\frac{4}{-3}\right)\\= \frac{-3}{7}-\frac{4}{3}\\=\frac{-9}{21}-\frac{28}{21}\\=\frac{-9-28}{21}\\=\frac{-37}{21}\)
10. \(+\left(\frac{-11}{3}\right)-\left(\frac{7}{2}\right)\\= \frac{-11}{3}-\frac{7}{2}\\=\frac{-22}{6}-\frac{21}{6}\\=\frac{-22-21}{6}\\=\frac{-43}{6}\)
11. \(+\left(\frac{-3}{-8}\right)-\left(\frac{-10}{-13}\right)\\= \frac{3}{8}-\frac{10}{13}\\=\frac{39}{104}-\frac{80}{104}\\=\frac{39-80}{104}\\=\frac{-41}{104}\)
12. \(-\left(\frac{14}{-9}\right)+\left(\frac{-3}{8}\right)\\= \frac{14}{9}-\frac{3}{8}\\=\frac{112}{72}-\frac{27}{72}\\=\frac{112-27}{72}\\=\frac{85}{72}\)