Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{13}{2}\right)-\left(\frac{-7}{4}\right)\\= \frac{-13}{2}+\frac{7}{4}\\=\frac{-26}{4}+\frac{7}{4}\\=\frac{-26+7}{4}\\=\frac{-19}{4}\)
2. \(+\left(\frac{-12}{13}\right)-\left(\frac{-14}{5}\right)\\= \frac{-12}{13}+\frac{14}{5}\\=\frac{-60}{65}+\frac{182}{65}\\=\frac{-60+182}{65}\\=\frac{122}{65}\)
3. \(+\left(\frac{5}{-4}\right)+\left(\frac{-10}{-13}\right)\\= \frac{-5}{4}+\frac{10}{13}\\=\frac{-65}{52}+\frac{40}{52}\\=\frac{-65+40}{52}\\=\frac{-25}{52}\)
4. \(+\left(\frac{-15}{-14}\right)+\left(\frac{15}{-7}\right)\\= \frac{15}{14}-\frac{15}{7}\\=\frac{15-15}{14}\\=\frac{0}{14}\\=\frac{0}{1}\)
5. \(-\left(\frac{-13}{-10}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-13}{10}-\frac{2}{3}\\=\frac{-39}{30}-\frac{20}{30}\\=\frac{-39-20}{30}\\=\frac{-59}{30}\)
6. \(-\left(\frac{-6}{5}\right)+\left(\frac{-12}{-11}\right)\\= \frac{6}{5}+\frac{12}{11}\\=\frac{66}{55}+\frac{60}{55}\\=\frac{66+60}{55}\\=\frac{126}{55}\)
7. \(+\left(\frac{-12}{5}\right)+\left(\frac{-15}{-11}\right)\\= \frac{-12}{5}+\frac{15}{11}\\=\frac{-132}{55}+\frac{75}{55}\\=\frac{-132+75}{55}\\=\frac{-57}{55}\)
8. \(-\left(\frac{13}{11}\right)+\left(\frac{15}{-2}\right)\\= \frac{-13}{11}-\frac{15}{2}\\=\frac{-26}{22}-\frac{165}{22}\\=\frac{-26-165}{22}\\=\frac{-191}{22}\)
9. \(+\left(\frac{7}{2}\right)-\left(\frac{14}{9}\right)\\= \frac{7}{2}-\frac{14}{9}\\=\frac{63}{18}-\frac{28}{18}\\=\frac{63-28}{18}\\=\frac{35}{18}\)
10. \(-\left(\frac{10}{3}\right)+\left(\frac{15}{8}\right)\\= \frac{-10}{3}+\frac{15}{8}\\=\frac{-80}{24}+\frac{45}{24}\\=\frac{-80+45}{24}\\=\frac{-35}{24}\)
11. \(-\left(\frac{6}{-13}\right)+\left(\frac{13}{9}\right)\\= \frac{6}{13}+\frac{13}{9}\\=\frac{54}{117}+\frac{169}{117}\\=\frac{54+169}{117}\\=\frac{223}{117}\)
12. \(+\left(\frac{-7}{10}\right)+\left(\frac{-15}{7}\right)\\= \frac{-7}{10}-\frac{15}{7}\\=\frac{-49}{70}-\frac{150}{70}\\=\frac{-49-150}{70}\\=\frac{-199}{70}\)