Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{11}\right)-\left(\frac{-12}{11}\right)\\= \frac{2}{11}+\frac{12}{11}\\=\frac{2+12}{11}\\=\frac{14}{11}\)
2. \(-\left(\frac{-11}{7}\right)-\left(\frac{-10}{-3}\right)\\= \frac{11}{7}-\frac{10}{3}\\=\frac{33}{21}-\frac{70}{21}\\=\frac{33-70}{21}\\=\frac{-37}{21}\)
3. \(+\left(\frac{13}{14}\right)-\left(\frac{3}{11}\right)\\= \frac{13}{14}-\frac{3}{11}\\=\frac{143}{154}-\frac{42}{154}\\=\frac{143-42}{154}\\=\frac{101}{154}\)
4. \(-\left(\frac{-6}{-5}\right)-\left(\frac{-4}{3}\right)\\= \frac{-6}{5}+\frac{4}{3}\\=\frac{-18}{15}+\frac{20}{15}\\=\frac{-18+20}{15}\\=\frac{2}{15}\)
5. \(-\left(\frac{-14}{-9}\right)+\left(\frac{-9}{2}\right)\\= \frac{-14}{9}-\frac{9}{2}\\=\frac{-28}{18}-\frac{81}{18}\\=\frac{-28-81}{18}\\=\frac{-109}{18}\)
6. \(+\left(\frac{-6}{-5}\right)-\left(\frac{-3}{7}\right)\\= \frac{6}{5}+\frac{3}{7}\\=\frac{42}{35}+\frac{15}{35}\\=\frac{42+15}{35}\\=\frac{57}{35}\)
7. \(+\left(\frac{-7}{9}\right)-\left(\frac{13}{9}\right)\\= \frac{-7}{9}-\frac{13}{9}\\=\frac{-7-13}{9}\\=\frac{-20}{9}\)
8. \(-\left(\frac{14}{5}\right)-\left(\frac{-5}{14}\right)\\= \frac{-14}{5}+\frac{5}{14}\\=\frac{-196}{70}+\frac{25}{70}\\=\frac{-196+25}{70}\\=\frac{-171}{70}\)
9. \(+\left(\frac{-13}{14}\right)-\left(\frac{3}{-5}\right)\\= \frac{-13}{14}+\frac{3}{5}\\=\frac{-65}{70}+\frac{42}{70}\\=\frac{-65+42}{70}\\=\frac{-23}{70}\)
10. \(+\left(\frac{2}{11}\right)-\left(\frac{7}{2}\right)\\= \frac{2}{11}-\frac{7}{2}\\=\frac{4}{22}-\frac{77}{22}\\=\frac{4-77}{22}\\=\frac{-73}{22}\)
11. \(-\left(\frac{11}{12}\right)+\left(\frac{-12}{-13}\right)\\= \frac{-11}{12}+\frac{12}{13}\\=\frac{-143}{156}+\frac{144}{156}\\=\frac{-143+144}{156}\\=\frac{1}{156}\)
12. \(+\left(\frac{13}{14}\right)-\left(\frac{-9}{-7}\right)\\= \frac{13}{14}-\frac{9}{7}\\=\frac{13-9}{14}\\=\frac{4}{14}\\=\frac{2}{7}\)