Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-6}{11}\right)-\left(\frac{-13}{6}\right)\\= \frac{-6}{11}+\frac{13}{6}\\=\frac{-36}{66}+\frac{143}{66}\\=\frac{-36+143}{66}\\=\frac{107}{66}\)
2. \(+\left(\frac{-6}{5}\right)-\left(\frac{13}{-12}\right)\\= \frac{-6}{5}+\frac{13}{12}\\=\frac{-72}{60}+\frac{65}{60}\\=\frac{-72+65}{60}\\=\frac{-7}{60}\)
3. \(-\left(\frac{-7}{13}\right)+\left(\frac{2}{-11}\right)\\= \frac{7}{13}-\frac{2}{11}\\=\frac{77}{143}-\frac{26}{143}\\=\frac{77-26}{143}\\=\frac{51}{143}\)
4. \(+\left(\frac{-7}{13}\right)+\left(\frac{-5}{-13}\right)\\= \frac{-7}{13}+\frac{5}{13}\\=\frac{-7+5}{13}\\=\frac{-2}{13}\)
5. \(+\left(\frac{4}{-7}\right)+\left(\frac{9}{-4}\right)\\= \frac{-4}{7}-\frac{9}{4}\\=\frac{-16}{28}-\frac{63}{28}\\=\frac{-16-63}{28}\\=\frac{-79}{28}\)
6. \(+\left(\frac{-12}{-5}\right)+\left(\frac{-10}{-7}\right)\\= \frac{12}{5}+\frac{10}{7}\\=\frac{84}{35}+\frac{50}{35}\\=\frac{84+50}{35}\\=\frac{134}{35}\)
7. \(+\left(\frac{-11}{-9}\right)+\left(\frac{-5}{6}\right)\\= \frac{11}{9}-\frac{5}{6}\\=\frac{22}{18}-\frac{15}{18}\\=\frac{22-15}{18}\\=\frac{7}{18}\)
8. \(+\left(\frac{4}{3}\right)-\left(\frac{-3}{-2}\right)\\= \frac{4}{3}-\frac{3}{2}\\=\frac{8}{6}-\frac{9}{6}\\=\frac{8-9}{6}\\=\frac{-1}{6}\)
9. \(-\left(\frac{-10}{-7}\right)-\left(\frac{-15}{7}\right)\\= \frac{-10}{7}+\frac{15}{7}\\=\frac{-10+15}{7}\\=\frac{5}{7}\)
10. \(-\left(\frac{4}{9}\right)-\left(\frac{15}{-4}\right)\\= \frac{-4}{9}+\frac{15}{4}\\=\frac{-16}{36}+\frac{135}{36}\\=\frac{-16+135}{36}\\=\frac{119}{36}\)
11. \(+\left(\frac{-8}{-11}\right)+\left(\frac{8}{7}\right)\\= \frac{8}{11}+\frac{8}{7}\\=\frac{56}{77}+\frac{88}{77}\\=\frac{56+88}{77}\\=\frac{144}{77}\)
12. \(-\left(\frac{11}{7}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-11}{7}-\frac{13}{2}\\=\frac{-22}{14}-\frac{91}{14}\\=\frac{-22-91}{14}\\=\frac{-113}{14}\)