Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{11}\right)+\left(\frac{11}{-14}\right)\\= \frac{-5}{11}-\frac{11}{14}\\=\frac{-70}{154}-\frac{121}{154}\\=\frac{-70-121}{154}\\=\frac{-191}{154}\)
2. \(+\left(\frac{15}{2}\right)+\left(\frac{-8}{-11}\right)\\= \frac{15}{2}+\frac{8}{11}\\=\frac{165}{22}+\frac{16}{22}\\=\frac{165+16}{22}\\=\frac{181}{22}\)
3. \(-\left(\frac{3}{-11}\right)+\left(\frac{15}{7}\right)\\= \frac{3}{11}+\frac{15}{7}\\=\frac{21}{77}+\frac{165}{77}\\=\frac{21+165}{77}\\=\frac{186}{77}\)
4. \(-\left(\frac{5}{-6}\right)-\left(\frac{6}{-13}\right)\\= \frac{5}{6}+\frac{6}{13}\\=\frac{65}{78}+\frac{36}{78}\\=\frac{65+36}{78}\\=\frac{101}{78}\)
5. \(-\left(\frac{-13}{-11}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-13}{11}+\frac{12}{5}\\=\frac{-65}{55}+\frac{132}{55}\\=\frac{-65+132}{55}\\=\frac{67}{55}\)
6. \(+\left(\frac{6}{-11}\right)+\left(\frac{4}{-7}\right)\\= \frac{-6}{11}-\frac{4}{7}\\=\frac{-42}{77}-\frac{44}{77}\\=\frac{-42-44}{77}\\=\frac{-86}{77}\)
7. \(+\left(\frac{-12}{13}\right)+\left(\frac{3}{-5}\right)\\= \frac{-12}{13}-\frac{3}{5}\\=\frac{-60}{65}-\frac{39}{65}\\=\frac{-60-39}{65}\\=\frac{-99}{65}\)
8. \(-\left(\frac{6}{-11}\right)+\left(\frac{2}{9}\right)\\= \frac{6}{11}+\frac{2}{9}\\=\frac{54}{99}+\frac{22}{99}\\=\frac{54+22}{99}\\=\frac{76}{99}\)
9. \(+\left(\frac{12}{11}\right)-\left(\frac{7}{-2}\right)\\= \frac{12}{11}+\frac{7}{2}\\=\frac{24}{22}+\frac{77}{22}\\=\frac{24+77}{22}\\=\frac{101}{22}\)
10. \(-\left(\frac{-5}{-14}\right)+\left(\frac{15}{-14}\right)\\= \frac{-5}{14}-\frac{15}{14}\\=\frac{-5-15}{14}\\=\frac{-20}{14}\\=\frac{-10}{7}\)
11. \(-\left(\frac{-11}{8}\right)+\left(\frac{-6}{-13}\right)\\= \frac{11}{8}+\frac{6}{13}\\=\frac{143}{104}+\frac{48}{104}\\=\frac{143+48}{104}\\=\frac{191}{104}\)
12. \(-\left(\frac{5}{6}\right)-\left(\frac{-14}{-9}\right)\\= \frac{-5}{6}-\frac{14}{9}\\=\frac{-15}{18}-\frac{28}{18}\\=\frac{-15-28}{18}\\=\frac{-43}{18}\)