Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{8}\right)-\left(\frac{5}{9}\right)\\= \frac{7}{8}-\frac{5}{9}\\=\frac{63}{72}-\frac{40}{72}\\=\frac{63-40}{72}\\=\frac{23}{72}\)
2. \(+\left(\frac{5}{8}\right)-\left(\frac{8}{13}\right)\\= \frac{5}{8}-\frac{8}{13}\\=\frac{65}{104}-\frac{64}{104}\\=\frac{65-64}{104}\\=\frac{1}{104}\)
3. \(-\left(\frac{-4}{13}\right)+\left(\frac{-9}{10}\right)\\= \frac{4}{13}-\frac{9}{10}\\=\frac{40}{130}-\frac{117}{130}\\=\frac{40-117}{130}\\=\frac{-77}{130}\)
4. \(-\left(\frac{-13}{-6}\right)-\left(\frac{5}{12}\right)\\= \frac{-13}{6}-\frac{5}{12}\\=\frac{-26}{12}-\frac{5}{12}\\=\frac{-26-5}{12}\\=\frac{-31}{12}\)
5. \(-\left(\frac{10}{-3}\right)+\left(\frac{-13}{10}\right)\\= \frac{10}{3}-\frac{13}{10}\\=\frac{100}{30}-\frac{39}{30}\\=\frac{100-39}{30}\\=\frac{61}{30}\)
6. \(+\left(\frac{-3}{11}\right)-\left(\frac{11}{-9}\right)\\= \frac{-3}{11}+\frac{11}{9}\\=\frac{-27}{99}+\frac{121}{99}\\=\frac{-27+121}{99}\\=\frac{94}{99}\)
7. \(-\left(\frac{14}{-3}\right)+\left(\frac{14}{13}\right)\\= \frac{14}{3}+\frac{14}{13}\\=\frac{182}{39}+\frac{42}{39}\\=\frac{182+42}{39}\\=\frac{224}{39}\)
8. \(-\left(\frac{12}{-11}\right)+\left(\frac{-14}{-11}\right)\\= \frac{12}{11}+\frac{14}{11}\\=\frac{12+14}{11}\\=\frac{26}{11}\)
9. \(+\left(\frac{-12}{-11}\right)-\left(\frac{15}{7}\right)\\= \frac{12}{11}-\frac{15}{7}\\=\frac{84}{77}-\frac{165}{77}\\=\frac{84-165}{77}\\=\frac{-81}{77}\)
10. \(+\left(\frac{13}{2}\right)-\left(\frac{-10}{-13}\right)\\= \frac{13}{2}-\frac{10}{13}\\=\frac{169}{26}-\frac{20}{26}\\=\frac{169-20}{26}\\=\frac{149}{26}\)
11. \(+\left(\frac{13}{7}\right)+\left(\frac{14}{-3}\right)\\= \frac{13}{7}-\frac{14}{3}\\=\frac{39}{21}-\frac{98}{21}\\=\frac{39-98}{21}\\=\frac{-59}{21}\)
12. \(+\left(\frac{-14}{9}\right)+\left(\frac{12}{-5}\right)\\= \frac{-14}{9}-\frac{12}{5}\\=\frac{-70}{45}-\frac{108}{45}\\=\frac{-70-108}{45}\\=\frac{-178}{45}\)