Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-8}{-7}\right)+\left(\frac{10}{13}\right)\\= \frac{8}{7}+\frac{10}{13}\\=\frac{104}{91}+\frac{70}{91}\\=\frac{104+70}{91}\\=\frac{174}{91}\)
2. \(-\left(\frac{-4}{-11}\right)-\left(\frac{-10}{-11}\right)\\= \frac{-4}{11}-\frac{10}{11}\\=\frac{-4-10}{11}\\=\frac{-14}{11}\)
3. \(+\left(\frac{12}{11}\right)-\left(\frac{5}{-6}\right)\\= \frac{12}{11}+\frac{5}{6}\\=\frac{72}{66}+\frac{55}{66}\\=\frac{72+55}{66}\\=\frac{127}{66}\)
4. \(+\left(\frac{-3}{7}\right)-\left(\frac{11}{-4}\right)\\= \frac{-3}{7}+\frac{11}{4}\\=\frac{-12}{28}+\frac{77}{28}\\=\frac{-12+77}{28}\\=\frac{65}{28}\)
5. \(-\left(\frac{-3}{13}\right)+\left(\frac{4}{3}\right)\\= \frac{3}{13}+\frac{4}{3}\\=\frac{9}{39}+\frac{52}{39}\\=\frac{9+52}{39}\\=\frac{61}{39}\)
6. \(-\left(\frac{-8}{-13}\right)-\left(\frac{11}{5}\right)\\= \frac{-8}{13}-\frac{11}{5}\\=\frac{-40}{65}-\frac{143}{65}\\=\frac{-40-143}{65}\\=\frac{-183}{65}\)
7. \(-\left(\frac{-10}{-13}\right)+\left(\frac{-2}{-13}\right)\\= \frac{-10}{13}+\frac{2}{13}\\=\frac{-10+2}{13}\\=\frac{-8}{13}\)
8. \(-\left(\frac{12}{5}\right)+\left(\frac{4}{-3}\right)\\= \frac{-12}{5}-\frac{4}{3}\\=\frac{-36}{15}-\frac{20}{15}\\=\frac{-36-20}{15}\\=\frac{-56}{15}\)
9. \(-\left(\frac{-2}{-3}\right)+\left(\frac{15}{4}\right)\\= \frac{-2}{3}+\frac{15}{4}\\=\frac{-8}{12}+\frac{45}{12}\\=\frac{-8+45}{12}\\=\frac{37}{12}\)
10. \(-\left(\frac{3}{7}\right)-\left(\frac{7}{8}\right)\\= \frac{-3}{7}-\frac{7}{8}\\=\frac{-24}{56}-\frac{49}{56}\\=\frac{-24-49}{56}\\=\frac{-73}{56}\)
11. \(-\left(\frac{-14}{5}\right)-\left(\frac{6}{-11}\right)\\= \frac{14}{5}+\frac{6}{11}\\=\frac{154}{55}+\frac{30}{55}\\=\frac{154+30}{55}\\=\frac{184}{55}\)
12. \(-\left(\frac{14}{-3}\right)+\left(\frac{-7}{-5}\right)\\= \frac{14}{3}+\frac{7}{5}\\=\frac{70}{15}+\frac{21}{15}\\=\frac{70+21}{15}\\=\frac{91}{15}\)