Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{10}\right)+\left(\frac{-4}{5}\right)\\= \frac{-11}{10}-\frac{4}{5}\\=\frac{-11-4}{10}\\=\frac{-15}{10}\\=\frac{-3}{2}\)
2. \(+\left(\frac{11}{5}\right)+\left(\frac{3}{-13}\right)\\= \frac{11}{5}-\frac{3}{13}\\=\frac{143}{65}-\frac{15}{65}\\=\frac{143-15}{65}\\=\frac{128}{65}\)
3. \(-\left(\frac{-2}{5}\right)+\left(\frac{12}{11}\right)\\= \frac{2}{5}+\frac{12}{11}\\=\frac{22}{55}+\frac{60}{55}\\=\frac{22+60}{55}\\=\frac{82}{55}\)
4. \(+\left(\frac{10}{7}\right)-\left(\frac{14}{11}\right)\\= \frac{10}{7}-\frac{14}{11}\\=\frac{110}{77}-\frac{98}{77}\\=\frac{110-98}{77}\\=\frac{12}{77}\)
5. \(-\left(\frac{9}{-14}\right)+\left(\frac{-6}{5}\right)\\= \frac{9}{14}-\frac{6}{5}\\=\frac{45}{70}-\frac{84}{70}\\=\frac{45-84}{70}\\=\frac{-39}{70}\)
6. \(-\left(\frac{-7}{-13}\right)+\left(\frac{-14}{-3}\right)\\= \frac{-7}{13}+\frac{14}{3}\\=\frac{-21}{39}+\frac{182}{39}\\=\frac{-21+182}{39}\\=\frac{161}{39}\)
7. \(+\left(\frac{4}{-13}\right)-\left(\frac{-9}{-13}\right)\\= \frac{-4}{13}-\frac{9}{13}\\=\frac{-4-9}{13}\\=\frac{-13}{13}\\=\frac{-1}{1}\)
8. \(+\left(\frac{2}{-13}\right)-\left(\frac{-5}{13}\right)\\= \frac{-2}{13}+\frac{5}{13}\\=\frac{-2+5}{13}\\=\frac{3}{13}\)
9. \(-\left(\frac{-6}{11}\right)+\left(\frac{-4}{-7}\right)\\= \frac{6}{11}+\frac{4}{7}\\=\frac{42}{77}+\frac{44}{77}\\=\frac{42+44}{77}\\=\frac{86}{77}\)
10. \(+\left(\frac{5}{-8}\right)+\left(\frac{3}{-4}\right)\\= \frac{-5}{8}-\frac{3}{4}\\=\frac{-5-3}{8}\\=\frac{-8}{8}\\=\frac{-1}{1}\)
11. \(+\left(\frac{-10}{7}\right)-\left(\frac{-5}{2}\right)\\= \frac{-10}{7}+\frac{5}{2}\\=\frac{-20}{14}+\frac{35}{14}\\=\frac{-20+35}{14}\\=\frac{15}{14}\)
12. \(-\left(\frac{15}{-11}\right)-\left(\frac{14}{-5}\right)\\= \frac{15}{11}+\frac{14}{5}\\=\frac{75}{55}+\frac{154}{55}\\=\frac{75+154}{55}\\=\frac{229}{55}\)