Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{-3}\right)+\left(\frac{-2}{-5}\right)\\= \frac{7}{3}+\frac{2}{5}\\=\frac{35}{15}+\frac{6}{15}\\=\frac{35+6}{15}\\=\frac{41}{15}\)
2. \(-\left(\frac{-4}{3}\right)+\left(\frac{10}{-3}\right)\\= \frac{4}{3}-\frac{10}{3}\\=\frac{4-10}{3}\\=\frac{-6}{3}\\=\frac{-2}{1}\)
3. \(+\left(\frac{7}{2}\right)+\left(\frac{-6}{-13}\right)\\= \frac{7}{2}+\frac{6}{13}\\=\frac{91}{26}+\frac{12}{26}\\=\frac{91+12}{26}\\=\frac{103}{26}\)
4. \(-\left(\frac{-12}{5}\right)+\left(\frac{-11}{12}\right)\\= \frac{12}{5}-\frac{11}{12}\\=\frac{144}{60}-\frac{55}{60}\\=\frac{144-55}{60}\\=\frac{89}{60}\)
5. \(-\left(\frac{-7}{-8}\right)+\left(\frac{-13}{6}\right)\\= \frac{-7}{8}-\frac{13}{6}\\=\frac{-21}{24}-\frac{52}{24}\\=\frac{-21-52}{24}\\=\frac{-73}{24}\)
6. \(-\left(\frac{4}{3}\right)-\left(\frac{7}{-6}\right)\\= \frac{-4}{3}+\frac{7}{6}\\=\frac{-8}{6}+\frac{7}{6}\\=\frac{-8+7}{6}\\=\frac{-1}{6}\)
7. \(-\left(\frac{14}{13}\right)-\left(\frac{10}{-11}\right)\\= \frac{-14}{13}+\frac{10}{11}\\=\frac{-154}{143}+\frac{130}{143}\\=\frac{-154+130}{143}\\=\frac{-24}{143}\)
8. \(+\left(\frac{3}{10}\right)-\left(\frac{9}{14}\right)\\= \frac{3}{10}-\frac{9}{14}\\=\frac{21}{70}-\frac{45}{70}\\=\frac{21-45}{70}\\=\frac{-24}{70}\\=\frac{-12}{35}\)
9. \(+\left(\frac{13}{-6}\right)-\left(\frac{-9}{-4}\right)\\= \frac{-13}{6}-\frac{9}{4}\\=\frac{-26}{12}-\frac{27}{12}\\=\frac{-26-27}{12}\\=\frac{-53}{12}\)
10. \(+\left(\frac{9}{-10}\right)-\left(\frac{-12}{5}\right)\\= \frac{-9}{10}+\frac{12}{5}\\=\frac{-9+12}{10}\\=\frac{3}{10}\)
11. \(+\left(\frac{4}{3}\right)+\left(\frac{10}{-13}\right)\\= \frac{4}{3}-\frac{10}{13}\\=\frac{52}{39}-\frac{30}{39}\\=\frac{52-30}{39}\\=\frac{22}{39}\)
12. \(+\left(\frac{-12}{-5}\right)-\left(\frac{9}{-5}\right)\\= \frac{12}{5}+\frac{9}{5}\\=\frac{12+9}{5}\\=\frac{21}{5}\)