Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{4}\right)-\left(\frac{5}{7}\right)\\= \frac{-9}{4}-\frac{5}{7}\\=\frac{-63}{28}-\frac{20}{28}\\=\frac{-63-20}{28}\\=\frac{-83}{28}\)
2. \(-\left(\frac{2}{-3}\right)+\left(\frac{-4}{-3}\right)\\= \frac{2}{3}+\frac{4}{3}\\=\frac{2+4}{3}\\=\frac{6}{3}\\=\frac{2}{1}\)
3. \(-\left(\frac{12}{-5}\right)-\left(\frac{5}{6}\right)\\= \frac{12}{5}-\frac{5}{6}\\=\frac{72}{30}-\frac{25}{30}\\=\frac{72-25}{30}\\=\frac{47}{30}\)
4. \(-\left(\frac{2}{-3}\right)-\left(\frac{6}{5}\right)\\= \frac{2}{3}-\frac{6}{5}\\=\frac{10}{15}-\frac{18}{15}\\=\frac{10-18}{15}\\=\frac{-8}{15}\)
5. \(-\left(\frac{-13}{7}\right)+\left(\frac{-15}{7}\right)\\= \frac{13}{7}-\frac{15}{7}\\=\frac{13-15}{7}\\=\frac{-2}{7}\)
6. \(+\left(\frac{-2}{-3}\right)+\left(\frac{5}{-6}\right)\\= \frac{2}{3}-\frac{5}{6}\\=\frac{4}{6}-\frac{5}{6}\\=\frac{4-5}{6}\\=\frac{-1}{6}\)
7. \(+\left(\frac{14}{9}\right)-\left(\frac{9}{-14}\right)\\= \frac{14}{9}+\frac{9}{14}\\=\frac{196}{126}+\frac{81}{126}\\=\frac{196+81}{126}\\=\frac{277}{126}\)
8. \(-\left(\frac{14}{13}\right)-\left(\frac{-6}{5}\right)\\= \frac{-14}{13}+\frac{6}{5}\\=\frac{-70}{65}+\frac{78}{65}\\=\frac{-70+78}{65}\\=\frac{8}{65}\)
9. \(+\left(\frac{-2}{13}\right)+\left(\frac{-11}{-2}\right)\\= \frac{-2}{13}+\frac{11}{2}\\=\frac{-4}{26}+\frac{143}{26}\\=\frac{-4+143}{26}\\=\frac{139}{26}\)
10. \(-\left(\frac{-5}{-2}\right)+\left(\frac{-11}{-13}\right)\\= \frac{-5}{2}+\frac{11}{13}\\=\frac{-65}{26}+\frac{22}{26}\\=\frac{-65+22}{26}\\=\frac{-43}{26}\)
11. \(+\left(\frac{-8}{-9}\right)-\left(\frac{12}{-11}\right)\\= \frac{8}{9}+\frac{12}{11}\\=\frac{88}{99}+\frac{108}{99}\\=\frac{88+108}{99}\\=\frac{196}{99}\)
12. \(-\left(\frac{6}{13}\right)+\left(\frac{8}{11}\right)\\= \frac{-6}{13}+\frac{8}{11}\\=\frac{-66}{143}+\frac{104}{143}\\=\frac{-66+104}{143}\\=\frac{38}{143}\)