Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{8}{7}\right)-\left(\frac{-2}{3}\right)\\= \frac{-8}{7}+\frac{2}{3}\\=\frac{-24}{21}+\frac{14}{21}\\=\frac{-24+14}{21}\\=\frac{-10}{21}\)
2. \(-\left(\frac{9}{-8}\right)+\left(\frac{5}{-13}\right)\\= \frac{9}{8}-\frac{5}{13}\\=\frac{117}{104}-\frac{40}{104}\\=\frac{117-40}{104}\\=\frac{77}{104}\)
3. \(-\left(\frac{-11}{-12}\right)-\left(\frac{2}{13}\right)\\= \frac{-11}{12}-\frac{2}{13}\\=\frac{-143}{156}-\frac{24}{156}\\=\frac{-143-24}{156}\\=\frac{-167}{156}\)
4. \(-\left(\frac{-14}{-11}\right)-\left(\frac{-5}{-6}\right)\\= \frac{-14}{11}-\frac{5}{6}\\=\frac{-84}{66}-\frac{55}{66}\\=\frac{-84-55}{66}\\=\frac{-139}{66}\)
5. \(-\left(\frac{-10}{9}\right)+\left(\frac{4}{-9}\right)\\= \frac{10}{9}-\frac{4}{9}\\=\frac{10-4}{9}\\=\frac{6}{9}\\=\frac{2}{3}\)
6. \(+\left(\frac{-13}{-11}\right)+\left(\frac{-13}{14}\right)\\= \frac{13}{11}-\frac{13}{14}\\=\frac{182}{154}-\frac{143}{154}\\=\frac{182-143}{154}\\=\frac{39}{154}\)
7. \(-\left(\frac{-6}{-13}\right)+\left(\frac{-14}{11}\right)\\= \frac{-6}{13}-\frac{14}{11}\\=\frac{-66}{143}-\frac{182}{143}\\=\frac{-66-182}{143}\\=\frac{-248}{143}\)
8. \(+\left(\frac{-6}{-11}\right)-\left(\frac{-9}{-7}\right)\\= \frac{6}{11}-\frac{9}{7}\\=\frac{42}{77}-\frac{99}{77}\\=\frac{42-99}{77}\\=\frac{-57}{77}\)
9. \(+\left(\frac{11}{-14}\right)+\left(\frac{-15}{11}\right)\\= \frac{-11}{14}-\frac{15}{11}\\=\frac{-121}{154}-\frac{210}{154}\\=\frac{-121-210}{154}\\=\frac{-331}{154}\)
10. \(-\left(\frac{-11}{10}\right)-\left(\frac{2}{-5}\right)\\= \frac{11}{10}+\frac{2}{5}\\=\frac{11+2}{10}\\=\frac{13}{10}\)
11. \(-\left(\frac{-3}{4}\right)-\left(\frac{-11}{10}\right)\\= \frac{3}{4}+\frac{11}{10}\\=\frac{15}{20}+\frac{22}{20}\\=\frac{15+22}{20}\\=\frac{37}{20}\)
12. \(+\left(\frac{13}{-2}\right)+\left(\frac{-7}{-2}\right)\\= \frac{-13}{2}+\frac{7}{2}\\=\frac{-13+7}{2}\\=\frac{-6}{2}\\=\frac{-3}{1}\)