Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{-11}\right)-\left(\frac{-5}{-11}\right)\\= \frac{-2}{11}-\frac{5}{11}\\=\frac{-2-5}{11}\\=\frac{-7}{11}\)
2. \(+\left(\frac{7}{6}\right)-\left(\frac{-13}{-6}\right)\\= \frac{7}{6}-\frac{13}{6}\\=\frac{7-13}{6}\\=\frac{-6}{6}\\=\frac{-1}{1}\)
3. \(-\left(\frac{2}{-7}\right)-\left(\frac{-12}{-13}\right)\\= \frac{2}{7}-\frac{12}{13}\\=\frac{26}{91}-\frac{84}{91}\\=\frac{26-84}{91}\\=\frac{-58}{91}\)
4. \(+\left(\frac{-13}{5}\right)-\left(\frac{-13}{-3}\right)\\= \frac{-13}{5}-\frac{13}{3}\\=\frac{-39}{15}-\frac{65}{15}\\=\frac{-39-65}{15}\\=\frac{-104}{15}\)
5. \(+\left(\frac{-5}{3}\right)-\left(\frac{-14}{3}\right)\\= \frac{-5}{3}+\frac{14}{3}\\=\frac{-5+14}{3}\\=\frac{9}{3}\\=\frac{3}{1}\)
6. \(-\left(\frac{-14}{5}\right)-\left(\frac{3}{-2}\right)\\= \frac{14}{5}+\frac{3}{2}\\=\frac{28}{10}+\frac{15}{10}\\=\frac{28+15}{10}\\=\frac{43}{10}\)
7. \(-\left(\frac{3}{7}\right)-\left(\frac{-11}{-2}\right)\\= \frac{-3}{7}-\frac{11}{2}\\=\frac{-6}{14}-\frac{77}{14}\\=\frac{-6-77}{14}\\=\frac{-83}{14}\)
8. \(+\left(\frac{8}{11}\right)-\left(\frac{12}{5}\right)\\= \frac{8}{11}-\frac{12}{5}\\=\frac{40}{55}-\frac{132}{55}\\=\frac{40-132}{55}\\=\frac{-92}{55}\)
9. \(-\left(\frac{3}{4}\right)+\left(\frac{12}{-11}\right)\\= \frac{-3}{4}-\frac{12}{11}\\=\frac{-33}{44}-\frac{48}{44}\\=\frac{-33-48}{44}\\=\frac{-81}{44}\)
10. \(-\left(\frac{5}{-13}\right)-\left(\frac{12}{13}\right)\\= \frac{5}{13}-\frac{12}{13}\\=\frac{5-12}{13}\\=\frac{-7}{13}\)
11. \(-\left(\frac{-4}{9}\right)-\left(\frac{4}{-3}\right)\\= \frac{4}{9}+\frac{4}{3}\\=\frac{4+4}{9}\\=\frac{8}{9}\)
12. \(-\left(\frac{-8}{-9}\right)+\left(\frac{5}{2}\right)\\= \frac{-8}{9}+\frac{5}{2}\\=\frac{-16}{18}+\frac{45}{18}\\=\frac{-16+45}{18}\\=\frac{29}{18}\)