Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-10}{-11}\right)+\left(\frac{13}{14}\right)\\= \frac{-10}{11}+\frac{13}{14}\\=\frac{-140}{154}+\frac{143}{154}\\=\frac{-140+143}{154}\\=\frac{3}{154}\)
2. \(-\left(\frac{10}{7}\right)-\left(\frac{-11}{7}\right)\\= \frac{-10}{7}+\frac{11}{7}\\=\frac{-10+11}{7}\\=\frac{1}{7}\)
3. \(+\left(\frac{-11}{-3}\right)-\left(\frac{14}{9}\right)\\= \frac{11}{3}-\frac{14}{9}\\=\frac{33}{9}-\frac{14}{9}\\=\frac{33-14}{9}\\=\frac{19}{9}\)
4. \(-\left(\frac{15}{-7}\right)-\left(\frac{-5}{3}\right)\\= \frac{15}{7}+\frac{5}{3}\\=\frac{45}{21}+\frac{35}{21}\\=\frac{45+35}{21}\\=\frac{80}{21}\)
5. \(-\left(\frac{9}{7}\right)+\left(\frac{15}{4}\right)\\= \frac{-9}{7}+\frac{15}{4}\\=\frac{-36}{28}+\frac{105}{28}\\=\frac{-36+105}{28}\\=\frac{69}{28}\)
6. \(+\left(\frac{13}{-14}\right)+\left(\frac{-6}{11}\right)\\= \frac{-13}{14}-\frac{6}{11}\\=\frac{-143}{154}-\frac{84}{154}\\=\frac{-143-84}{154}\\=\frac{-227}{154}\)
7. \(-\left(\frac{7}{6}\right)-\left(\frac{5}{-6}\right)\\= \frac{-7}{6}+\frac{5}{6}\\=\frac{-7+5}{6}\\=\frac{-2}{6}\\=\frac{-1}{3}\)
8. \(+\left(\frac{-6}{-5}\right)+\left(\frac{2}{11}\right)\\= \frac{6}{5}+\frac{2}{11}\\=\frac{66}{55}+\frac{10}{55}\\=\frac{66+10}{55}\\=\frac{76}{55}\)
9. \(-\left(\frac{12}{-5}\right)+\left(\frac{-4}{-7}\right)\\= \frac{12}{5}+\frac{4}{7}\\=\frac{84}{35}+\frac{20}{35}\\=\frac{84+20}{35}\\=\frac{104}{35}\)
10. \(-\left(\frac{-6}{11}\right)-\left(\frac{-14}{-11}\right)\\= \frac{6}{11}-\frac{14}{11}\\=\frac{6-14}{11}\\=\frac{-8}{11}\)
11. \(+\left(\frac{-5}{8}\right)+\left(\frac{9}{7}\right)\\= \frac{-5}{8}+\frac{9}{7}\\=\frac{-35}{56}+\frac{72}{56}\\=\frac{-35+72}{56}\\=\frac{37}{56}\)
12. \(-\left(\frac{-11}{-4}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-11}{4}+\frac{4}{3}\\=\frac{-33}{12}+\frac{16}{12}\\=\frac{-33+16}{12}\\=\frac{-17}{12}\)