Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{3}\right)-\left(\frac{-6}{-5}\right)\\= \frac{8}{3}-\frac{6}{5}\\=\frac{40}{15}-\frac{18}{15}\\=\frac{40-18}{15}\\=\frac{22}{15}\)
2. \(-\left(\frac{14}{5}\right)-\left(\frac{-14}{-13}\right)\\= \frac{-14}{5}-\frac{14}{13}\\=\frac{-182}{65}-\frac{70}{65}\\=\frac{-182-70}{65}\\=\frac{-252}{65}\)
3. \(+\left(\frac{-11}{-2}\right)+\left(\frac{-5}{-11}\right)\\= \frac{11}{2}+\frac{5}{11}\\=\frac{121}{22}+\frac{10}{22}\\=\frac{121+10}{22}\\=\frac{131}{22}\)
4. \(+\left(\frac{-3}{2}\right)-\left(\frac{4}{5}\right)\\= \frac{-3}{2}-\frac{4}{5}\\=\frac{-15}{10}-\frac{8}{10}\\=\frac{-15-8}{10}\\=\frac{-23}{10}\)
5. \(+\left(\frac{-4}{3}\right)+\left(\frac{13}{6}\right)\\= \frac{-4}{3}+\frac{13}{6}\\=\frac{-8}{6}+\frac{13}{6}\\=\frac{-8+13}{6}\\=\frac{5}{6}\)
6. \(+\left(\frac{3}{-4}\right)-\left(\frac{-15}{-4}\right)\\= \frac{-3}{4}-\frac{15}{4}\\=\frac{-3-15}{4}\\=\frac{-18}{4}\\=\frac{-9}{2}\)
7. \(-\left(\frac{-10}{-11}\right)-\left(\frac{-6}{11}\right)\\= \frac{-10}{11}+\frac{6}{11}\\=\frac{-10+6}{11}\\=\frac{-4}{11}\)
8. \(-\left(\frac{15}{7}\right)-\left(\frac{-6}{-7}\right)\\= \frac{-15}{7}-\frac{6}{7}\\=\frac{-15-6}{7}\\=\frac{-21}{7}\\=\frac{-3}{1}\)
9. \(-\left(\frac{9}{-2}\right)-\left(\frac{-2}{7}\right)\\= \frac{9}{2}+\frac{2}{7}\\=\frac{63}{14}+\frac{4}{14}\\=\frac{63+4}{14}\\=\frac{67}{14}\)
10. \(-\left(\frac{5}{11}\right)+\left(\frac{5}{-4}\right)\\= \frac{-5}{11}-\frac{5}{4}\\=\frac{-20}{44}-\frac{55}{44}\\=\frac{-20-55}{44}\\=\frac{-75}{44}\)
11. \(-\left(\frac{3}{7}\right)+\left(\frac{-11}{4}\right)\\= \frac{-3}{7}-\frac{11}{4}\\=\frac{-12}{28}-\frac{77}{28}\\=\frac{-12-77}{28}\\=\frac{-89}{28}\)
12. \(-\left(\frac{-14}{5}\right)-\left(\frac{-13}{12}\right)\\= \frac{14}{5}+\frac{13}{12}\\=\frac{168}{60}+\frac{65}{60}\\=\frac{168+65}{60}\\=\frac{233}{60}\)