Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{-5}\right)+\left(\frac{11}{-3}\right)\\= \frac{2}{5}-\frac{11}{3}\\=\frac{6}{15}-\frac{55}{15}\\=\frac{6-55}{15}\\=\frac{-49}{15}\)
2. \(+\left(\frac{5}{-14}\right)+\left(\frac{-11}{-4}\right)\\= \frac{-5}{14}+\frac{11}{4}\\=\frac{-10}{28}+\frac{77}{28}\\=\frac{-10+77}{28}\\=\frac{67}{28}\)
3. \(+\left(\frac{10}{3}\right)-\left(\frac{10}{3}\right)\\= \frac{10}{3}-\frac{10}{3}\\=\frac{10-10}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)
4. \(-\left(\frac{13}{3}\right)+\left(\frac{-12}{5}\right)\\= \frac{-13}{3}-\frac{12}{5}\\=\frac{-65}{15}-\frac{36}{15}\\=\frac{-65-36}{15}\\=\frac{-101}{15}\)
5. \(-\left(\frac{13}{6}\right)+\left(\frac{-6}{7}\right)\\= \frac{-13}{6}-\frac{6}{7}\\=\frac{-91}{42}-\frac{36}{42}\\=\frac{-91-36}{42}\\=\frac{-127}{42}\)
6. \(-\left(\frac{-8}{13}\right)+\left(\frac{-5}{3}\right)\\= \frac{8}{13}-\frac{5}{3}\\=\frac{24}{39}-\frac{65}{39}\\=\frac{24-65}{39}\\=\frac{-41}{39}\)
7. \(-\left(\frac{-3}{5}\right)+\left(\frac{-8}{-3}\right)\\= \frac{3}{5}+\frac{8}{3}\\=\frac{9}{15}+\frac{40}{15}\\=\frac{9+40}{15}\\=\frac{49}{15}\)
8. \(-\left(\frac{-12}{5}\right)-\left(\frac{8}{13}\right)\\= \frac{12}{5}-\frac{8}{13}\\=\frac{156}{65}-\frac{40}{65}\\=\frac{156-40}{65}\\=\frac{116}{65}\)
9. \(+\left(\frac{15}{-4}\right)-\left(\frac{-5}{-4}\right)\\= \frac{-15}{4}-\frac{5}{4}\\=\frac{-15-5}{4}\\=\frac{-20}{4}\\=\frac{-5}{1}\)
10. \(-\left(\frac{12}{5}\right)-\left(\frac{2}{3}\right)\\= \frac{-12}{5}-\frac{2}{3}\\=\frac{-36}{15}-\frac{10}{15}\\=\frac{-36-10}{15}\\=\frac{-46}{15}\)
11. \(+\left(\frac{7}{-9}\right)-\left(\frac{-8}{-11}\right)\\= \frac{-7}{9}-\frac{8}{11}\\=\frac{-77}{99}-\frac{72}{99}\\=\frac{-77-72}{99}\\=\frac{-149}{99}\)
12. \(+\left(\frac{6}{11}\right)+\left(\frac{-5}{-11}\right)\\= \frac{6}{11}+\frac{5}{11}\\=\frac{6+5}{11}\\=\frac{11}{11}\\=\frac{1}{1}\)