Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-15}{-13}\right)-\left(\frac{7}{6}\right)\\= \frac{15}{13}-\frac{7}{6}\\=\frac{90}{78}-\frac{91}{78}\\=\frac{90-91}{78}\\=\frac{-1}{78}\)
2. \(-\left(\frac{4}{-13}\right)+\left(\frac{-12}{11}\right)\\= \frac{4}{13}-\frac{12}{11}\\=\frac{44}{143}-\frac{156}{143}\\=\frac{44-156}{143}\\=\frac{-112}{143}\)
3. \(-\left(\frac{-3}{-13}\right)-\left(\frac{12}{-5}\right)\\= \frac{-3}{13}+\frac{12}{5}\\=\frac{-15}{65}+\frac{156}{65}\\=\frac{-15+156}{65}\\=\frac{141}{65}\)
4. \(-\left(\frac{-9}{7}\right)-\left(\frac{7}{-2}\right)\\= \frac{9}{7}+\frac{7}{2}\\=\frac{18}{14}+\frac{49}{14}\\=\frac{18+49}{14}\\=\frac{67}{14}\)
5. \(-\left(\frac{-5}{11}\right)-\left(\frac{-2}{3}\right)\\= \frac{5}{11}+\frac{2}{3}\\=\frac{15}{33}+\frac{22}{33}\\=\frac{15+22}{33}\\=\frac{37}{33}\)
6. \(-\left(\frac{8}{-9}\right)+\left(\frac{-11}{2}\right)\\= \frac{8}{9}-\frac{11}{2}\\=\frac{16}{18}-\frac{99}{18}\\=\frac{16-99}{18}\\=\frac{-83}{18}\)
7. \(-\left(\frac{-10}{7}\right)-\left(\frac{-9}{-8}\right)\\= \frac{10}{7}-\frac{9}{8}\\=\frac{80}{56}-\frac{63}{56}\\=\frac{80-63}{56}\\=\frac{17}{56}\)
8. \(+\left(\frac{-5}{-14}\right)-\left(\frac{11}{13}\right)\\= \frac{5}{14}-\frac{11}{13}\\=\frac{65}{182}-\frac{154}{182}\\=\frac{65-154}{182}\\=\frac{-89}{182}\)
9. \(+\left(\frac{15}{14}\right)-\left(\frac{6}{11}\right)\\= \frac{15}{14}-\frac{6}{11}\\=\frac{165}{154}-\frac{84}{154}\\=\frac{165-84}{154}\\=\frac{81}{154}\)
10. \(-\left(\frac{-9}{4}\right)-\left(\frac{-2}{3}\right)\\= \frac{9}{4}+\frac{2}{3}\\=\frac{27}{12}+\frac{8}{12}\\=\frac{27+8}{12}\\=\frac{35}{12}\)
11. \(+\left(\frac{4}{5}\right)-\left(\frac{15}{-4}\right)\\= \frac{4}{5}+\frac{15}{4}\\=\frac{16}{20}+\frac{75}{20}\\=\frac{16+75}{20}\\=\frac{91}{20}\)
12. \(-\left(\frac{5}{-7}\right)-\left(\frac{11}{-2}\right)\\= \frac{5}{7}+\frac{11}{2}\\=\frac{10}{14}+\frac{77}{14}\\=\frac{10+77}{14}\\=\frac{87}{14}\)