Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{9}{7}\right)+\left(\frac{5}{-3}\right)\\= \frac{-9}{7}-\frac{5}{3}\\=\frac{-27}{21}-\frac{35}{21}\\=\frac{-27-35}{21}\\=\frac{-62}{21}\)
2. \(+\left(\frac{7}{2}\right)+\left(\frac{-12}{11}\right)\\= \frac{7}{2}-\frac{12}{11}\\=\frac{77}{22}-\frac{24}{22}\\=\frac{77-24}{22}\\=\frac{53}{22}\)
3. \(+\left(\frac{5}{-2}\right)-\left(\frac{-7}{-5}\right)\\= \frac{-5}{2}-\frac{7}{5}\\=\frac{-25}{10}-\frac{14}{10}\\=\frac{-25-14}{10}\\=\frac{-39}{10}\)
4. \(+\left(\frac{15}{-11}\right)-\left(\frac{-9}{7}\right)\\= \frac{-15}{11}+\frac{9}{7}\\=\frac{-105}{77}+\frac{99}{77}\\=\frac{-105+99}{77}\\=\frac{-6}{77}\)
5. \(+\left(\frac{11}{-2}\right)+\left(\frac{-11}{2}\right)\\= \frac{-11}{2}-\frac{11}{2}\\=\frac{-11-11}{2}\\=\frac{-22}{2}\\=\frac{-11}{1}\)
6. \(-\left(\frac{-9}{10}\right)+\left(\frac{-7}{-13}\right)\\= \frac{9}{10}+\frac{7}{13}\\=\frac{117}{130}+\frac{70}{130}\\=\frac{117+70}{130}\\=\frac{187}{130}\)
7. \(-\left(\frac{-2}{-5}\right)+\left(\frac{-3}{-10}\right)\\= \frac{-2}{5}+\frac{3}{10}\\=\frac{-4}{10}+\frac{3}{10}\\=\frac{-4+3}{10}\\=\frac{-1}{10}\)
8. \(+\left(\frac{4}{9}\right)+\left(\frac{13}{-10}\right)\\= \frac{4}{9}-\frac{13}{10}\\=\frac{40}{90}-\frac{117}{90}\\=\frac{40-117}{90}\\=\frac{-77}{90}\)
9. \(-\left(\frac{12}{-11}\right)+\left(\frac{-5}{2}\right)\\= \frac{12}{11}-\frac{5}{2}\\=\frac{24}{22}-\frac{55}{22}\\=\frac{24-55}{22}\\=\frac{-31}{22}\)
10. \(-\left(\frac{10}{13}\right)-\left(\frac{6}{5}\right)\\= \frac{-10}{13}-\frac{6}{5}\\=\frac{-50}{65}-\frac{78}{65}\\=\frac{-50-78}{65}\\=\frac{-128}{65}\)
11. \(+\left(\frac{2}{5}\right)+\left(\frac{12}{11}\right)\\= \frac{2}{5}+\frac{12}{11}\\=\frac{22}{55}+\frac{60}{55}\\=\frac{22+60}{55}\\=\frac{82}{55}\)
12. \(-\left(\frac{7}{-4}\right)+\left(\frac{4}{7}\right)\\= \frac{7}{4}+\frac{4}{7}\\=\frac{49}{28}+\frac{16}{28}\\=\frac{49+16}{28}\\=\frac{65}{28}\)