Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{4}\right)-\left(\frac{8}{13}\right)\\= \frac{-15}{4}-\frac{8}{13}\\=\frac{-195}{52}-\frac{32}{52}\\=\frac{-195-32}{52}\\=\frac{-227}{52}\)
2. \(-\left(\frac{-13}{5}\right)+\left(\frac{-3}{13}\right)\\= \frac{13}{5}-\frac{3}{13}\\=\frac{169}{65}-\frac{15}{65}\\=\frac{169-15}{65}\\=\frac{154}{65}\)
3. \(+\left(\frac{-4}{-7}\right)+\left(\frac{-15}{-7}\right)\\= \frac{4}{7}+\frac{15}{7}\\=\frac{4+15}{7}\\=\frac{19}{7}\)
4. \(-\left(\frac{-15}{-7}\right)+\left(\frac{15}{-7}\right)\\= \frac{-15}{7}-\frac{15}{7}\\=\frac{-15-15}{7}\\=\frac{-30}{7}\)
5. \(-\left(\frac{-12}{-11}\right)+\left(\frac{-14}{13}\right)\\= \frac{-12}{11}-\frac{14}{13}\\=\frac{-156}{143}-\frac{154}{143}\\=\frac{-156-154}{143}\\=\frac{-310}{143}\)
6. \(-\left(\frac{13}{-6}\right)-\left(\frac{-12}{-5}\right)\\= \frac{13}{6}-\frac{12}{5}\\=\frac{65}{30}-\frac{72}{30}\\=\frac{65-72}{30}\\=\frac{-7}{30}\)
7. \(+\left(\frac{2}{13}\right)-\left(\frac{14}{-11}\right)\\= \frac{2}{13}+\frac{14}{11}\\=\frac{22}{143}+\frac{182}{143}\\=\frac{22+182}{143}\\=\frac{204}{143}\)
8. \(+\left(\frac{-7}{-11}\right)+\left(\frac{9}{-2}\right)\\= \frac{7}{11}-\frac{9}{2}\\=\frac{14}{22}-\frac{99}{22}\\=\frac{14-99}{22}\\=\frac{-85}{22}\)
9. \(-\left(\frac{-12}{11}\right)+\left(\frac{3}{-14}\right)\\= \frac{12}{11}-\frac{3}{14}\\=\frac{168}{154}-\frac{33}{154}\\=\frac{168-33}{154}\\=\frac{135}{154}\)
10. \(+\left(\frac{11}{5}\right)+\left(\frac{-6}{-5}\right)\\= \frac{11}{5}+\frac{6}{5}\\=\frac{11+6}{5}\\=\frac{17}{5}\)
11. \(+\left(\frac{-11}{13}\right)+\left(\frac{-15}{-4}\right)\\= \frac{-11}{13}+\frac{15}{4}\\=\frac{-44}{52}+\frac{195}{52}\\=\frac{-44+195}{52}\\=\frac{151}{52}\)
12. \(+\left(\frac{-4}{-9}\right)+\left(\frac{4}{-3}\right)\\= \frac{4}{9}-\frac{4}{3}\\=\frac{4-4}{9}\\=\frac{0}{9}\\=\frac{0}{1}\)