Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{5}{-4}\right)+\left(\frac{-9}{-7}\right)\\= \frac{-5}{4}+\frac{9}{7}\\=\frac{-35}{28}+\frac{36}{28}\\=\frac{-35+36}{28}\\=\frac{1}{28}\)
2. \(+\left(\frac{3}{-4}\right)-\left(\frac{11}{12}\right)\\= \frac{-3}{4}-\frac{11}{12}\\=\frac{-9}{12}-\frac{11}{12}\\=\frac{-9-11}{12}\\=\frac{-20}{12}\\=\frac{-5}{3}\)
3. \(-\left(\frac{4}{11}\right)+\left(\frac{14}{13}\right)\\= \frac{-4}{11}+\frac{14}{13}\\=\frac{-52}{143}+\frac{154}{143}\\=\frac{-52+154}{143}\\=\frac{102}{143}\)
4. \(+\left(\frac{-13}{-9}\right)-\left(\frac{5}{-2}\right)\\= \frac{13}{9}+\frac{5}{2}\\=\frac{26}{18}+\frac{45}{18}\\=\frac{26+45}{18}\\=\frac{71}{18}\)
5. \(+\left(\frac{-6}{-5}\right)-\left(\frac{12}{-5}\right)\\= \frac{6}{5}+\frac{12}{5}\\=\frac{6+12}{5}\\=\frac{18}{5}\)
6. \(+\left(\frac{-4}{9}\right)+\left(\frac{-5}{2}\right)\\= \frac{-4}{9}-\frac{5}{2}\\=\frac{-8}{18}-\frac{45}{18}\\=\frac{-8-45}{18}\\=\frac{-53}{18}\)
7. \(+\left(\frac{7}{2}\right)-\left(\frac{8}{-13}\right)\\= \frac{7}{2}+\frac{8}{13}\\=\frac{91}{26}+\frac{16}{26}\\=\frac{91+16}{26}\\=\frac{107}{26}\)
8. \(-\left(\frac{-15}{14}\right)+\left(\frac{8}{13}\right)\\= \frac{15}{14}+\frac{8}{13}\\=\frac{195}{182}+\frac{112}{182}\\=\frac{195+112}{182}\\=\frac{307}{182}\)
9. \(+\left(\frac{-11}{-6}\right)-\left(\frac{-8}{-3}\right)\\= \frac{11}{6}-\frac{8}{3}\\=\frac{11-8}{6}\\=\frac{3}{6}\\=\frac{1}{2}\)
10. \(-\left(\frac{-11}{-12}\right)-\left(\frac{7}{11}\right)\\= \frac{-11}{12}-\frac{7}{11}\\=\frac{-121}{132}-\frac{84}{132}\\=\frac{-121-84}{132}\\=\frac{-205}{132}\)
11. \(+\left(\frac{15}{-4}\right)+\left(\frac{9}{7}\right)\\= \frac{-15}{4}+\frac{9}{7}\\=\frac{-105}{28}+\frac{36}{28}\\=\frac{-105+36}{28}\\=\frac{-69}{28}\)
12. \(-\left(\frac{15}{-11}\right)+\left(\frac{10}{7}\right)\\= \frac{15}{11}+\frac{10}{7}\\=\frac{105}{77}+\frac{110}{77}\\=\frac{105+110}{77}\\=\frac{215}{77}\)