Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{-3}\right)-\left(\frac{-15}{4}\right)\\= \frac{2}{3}+\frac{15}{4}\\=\frac{8}{12}+\frac{45}{12}\\=\frac{8+45}{12}\\=\frac{53}{12}\)
2. \(+\left(\frac{5}{-11}\right)-\left(\frac{-2}{-9}\right)\\= \frac{-5}{11}-\frac{2}{9}\\=\frac{-45}{99}-\frac{22}{99}\\=\frac{-45-22}{99}\\=\frac{-67}{99}\)
3. \(+\left(\frac{4}{3}\right)-\left(\frac{12}{-5}\right)\\= \frac{4}{3}+\frac{12}{5}\\=\frac{20}{15}+\frac{36}{15}\\=\frac{20+36}{15}\\=\frac{56}{15}\)
4. \(-\left(\frac{11}{8}\right)-\left(\frac{-9}{14}\right)\\= \frac{-11}{8}+\frac{9}{14}\\=\frac{-77}{56}+\frac{36}{56}\\=\frac{-77+36}{56}\\=\frac{-41}{56}\)
5. \(+\left(\frac{8}{-7}\right)+\left(\frac{6}{7}\right)\\= \frac{-8}{7}+\frac{6}{7}\\=\frac{-8+6}{7}\\=\frac{-2}{7}\)
6. \(-\left(\frac{14}{-3}\right)+\left(\frac{2}{-3}\right)\\= \frac{14}{3}-\frac{2}{3}\\=\frac{14-2}{3}\\=\frac{12}{3}\\=\frac{4}{1}\)
7. \(-\left(\frac{13}{12}\right)-\left(\frac{10}{-7}\right)\\= \frac{-13}{12}+\frac{10}{7}\\=\frac{-91}{84}+\frac{120}{84}\\=\frac{-91+120}{84}\\=\frac{29}{84}\)
8. \(-\left(\frac{-11}{-13}\right)+\left(\frac{-10}{3}\right)\\= \frac{-11}{13}-\frac{10}{3}\\=\frac{-33}{39}-\frac{130}{39}\\=\frac{-33-130}{39}\\=\frac{-163}{39}\)
9. \(-\left(\frac{12}{7}\right)-\left(\frac{-2}{9}\right)\\= \frac{-12}{7}+\frac{2}{9}\\=\frac{-108}{63}+\frac{14}{63}\\=\frac{-108+14}{63}\\=\frac{-94}{63}\)
10. \(-\left(\frac{8}{-13}\right)+\left(\frac{-12}{-11}\right)\\= \frac{8}{13}+\frac{12}{11}\\=\frac{88}{143}+\frac{156}{143}\\=\frac{88+156}{143}\\=\frac{244}{143}\)
11. \(-\left(\frac{6}{7}\right)+\left(\frac{2}{-3}\right)\\= \frac{-6}{7}-\frac{2}{3}\\=\frac{-18}{21}-\frac{14}{21}\\=\frac{-18-14}{21}\\=\frac{-32}{21}\)
12. \(-\left(\frac{14}{-5}\right)-\left(\frac{7}{-13}\right)\\= \frac{14}{5}+\frac{7}{13}\\=\frac{182}{65}+\frac{35}{65}\\=\frac{182+35}{65}\\=\frac{217}{65}\)