Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{13}{-4}\right)+\left(\frac{13}{-7}\right)\\= \frac{-13}{4}-\frac{13}{7}\\=\frac{-91}{28}-\frac{52}{28}\\=\frac{-91-52}{28}\\=\frac{-143}{28}\)
2. \(+\left(\frac{5}{-14}\right)+\left(\frac{-9}{-2}\right)\\= \frac{-5}{14}+\frac{9}{2}\\=\frac{-5+9}{14}\\=\frac{4}{14}\\=\frac{2}{7}\)
3. \(+\left(\frac{11}{-2}\right)-\left(\frac{-9}{-4}\right)\\= \frac{-11}{2}-\frac{9}{4}\\=\frac{-22}{4}-\frac{9}{4}\\=\frac{-22-9}{4}\\=\frac{-31}{4}\)
4. \(+\left(\frac{-2}{7}\right)+\left(\frac{-2}{-9}\right)\\= \frac{-2}{7}+\frac{2}{9}\\=\frac{-18}{63}+\frac{14}{63}\\=\frac{-18+14}{63}\\=\frac{-4}{63}\)
5. \(+\left(\frac{-14}{13}\right)+\left(\frac{13}{-8}\right)\\= \frac{-14}{13}-\frac{13}{8}\\=\frac{-112}{104}-\frac{169}{104}\\=\frac{-112-169}{104}\\=\frac{-281}{104}\)
6. \(+\left(\frac{13}{-7}\right)+\left(\frac{11}{-5}\right)\\= \frac{-13}{7}-\frac{11}{5}\\=\frac{-65}{35}-\frac{77}{35}\\=\frac{-65-77}{35}\\=\frac{-142}{35}\)
7. \(-\left(\frac{-4}{-3}\right)+\left(\frac{-7}{-2}\right)\\= \frac{-4}{3}+\frac{7}{2}\\=\frac{-8}{6}+\frac{21}{6}\\=\frac{-8+21}{6}\\=\frac{13}{6}\)
8. \(-\left(\frac{-14}{9}\right)-\left(\frac{10}{-3}\right)\\= \frac{14}{9}+\frac{10}{3}\\=\frac{14+10}{9}\\=\frac{24}{9}\\=\frac{8}{3}\)
9. \(-\left(\frac{14}{-9}\right)-\left(\frac{7}{-8}\right)\\= \frac{14}{9}+\frac{7}{8}\\=\frac{112}{72}+\frac{63}{72}\\=\frac{112+63}{72}\\=\frac{175}{72}\)
10. \(-\left(\frac{-11}{9}\right)-\left(\frac{7}{2}\right)\\= \frac{11}{9}-\frac{7}{2}\\=\frac{22}{18}-\frac{63}{18}\\=\frac{22-63}{18}\\=\frac{-41}{18}\)
11. \(-\left(\frac{14}{9}\right)+\left(\frac{2}{9}\right)\\= \frac{-14}{9}+\frac{2}{9}\\=\frac{-14+2}{9}\\=\frac{-12}{9}\\=\frac{-4}{3}\)
12. \(+\left(\frac{-9}{13}\right)+\left(\frac{11}{6}\right)\\= \frac{-9}{13}+\frac{11}{6}\\=\frac{-54}{78}+\frac{143}{78}\\=\frac{-54+143}{78}\\=\frac{89}{78}\)