Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{7}\right)-\left(\frac{10}{7}\right)\\= \frac{11}{7}-\frac{10}{7}\\=\frac{11-10}{7}\\=\frac{1}{7}\)
2. \(-\left(\frac{-14}{-13}\right)+\left(\frac{-15}{2}\right)\\= \frac{-14}{13}-\frac{15}{2}\\=\frac{-28}{26}-\frac{195}{26}\\=\frac{-28-195}{26}\\=\frac{-223}{26}\)
3. \(+\left(\frac{-5}{-11}\right)-\left(\frac{13}{-14}\right)\\= \frac{5}{11}+\frac{13}{14}\\=\frac{70}{154}+\frac{143}{154}\\=\frac{70+143}{154}\\=\frac{213}{154}\)
4. \(-\left(\frac{-15}{-13}\right)+\left(\frac{-9}{4}\right)\\= \frac{-15}{13}-\frac{9}{4}\\=\frac{-60}{52}-\frac{117}{52}\\=\frac{-60-117}{52}\\=\frac{-177}{52}\)
5. \(-\left(\frac{10}{-11}\right)-\left(\frac{13}{-9}\right)\\= \frac{10}{11}+\frac{13}{9}\\=\frac{90}{99}+\frac{143}{99}\\=\frac{90+143}{99}\\=\frac{233}{99}\)
6. \(+\left(\frac{5}{-2}\right)+\left(\frac{7}{-2}\right)\\= \frac{-5}{2}-\frac{7}{2}\\=\frac{-5-7}{2}\\=\frac{-12}{2}\\=\frac{-6}{1}\)
7. \(+\left(\frac{8}{-11}\right)-\left(\frac{4}{-9}\right)\\= \frac{-8}{11}+\frac{4}{9}\\=\frac{-72}{99}+\frac{44}{99}\\=\frac{-72+44}{99}\\=\frac{-28}{99}\)
8. \(-\left(\frac{-12}{5}\right)+\left(\frac{-3}{10}\right)\\= \frac{12}{5}-\frac{3}{10}\\=\frac{24}{10}-\frac{3}{10}\\=\frac{24-3}{10}\\=\frac{21}{10}\)
9. \(-\left(\frac{-2}{-13}\right)+\left(\frac{-7}{-10}\right)\\= \frac{-2}{13}+\frac{7}{10}\\=\frac{-20}{130}+\frac{91}{130}\\=\frac{-20+91}{130}\\=\frac{71}{130}\)
10. \(+\left(\frac{15}{-2}\right)+\left(\frac{-6}{-7}\right)\\= \frac{-15}{2}+\frac{6}{7}\\=\frac{-105}{14}+\frac{12}{14}\\=\frac{-105+12}{14}\\=\frac{-93}{14}\)
11. \(+\left(\frac{3}{-2}\right)-\left(\frac{12}{5}\right)\\= \frac{-3}{2}-\frac{12}{5}\\=\frac{-15}{10}-\frac{24}{10}\\=\frac{-15-24}{10}\\=\frac{-39}{10}\)
12. \(+\left(\frac{9}{-2}\right)+\left(\frac{15}{13}\right)\\= \frac{-9}{2}+\frac{15}{13}\\=\frac{-117}{26}+\frac{30}{26}\\=\frac{-117+30}{26}\\=\frac{-87}{26}\)