Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{-7}\right)+\left(\frac{9}{13}\right)\\= \frac{-8}{7}+\frac{9}{13}\\=\frac{-104}{91}+\frac{63}{91}\\=\frac{-104+63}{91}\\=\frac{-41}{91}\)
2. \(-\left(\frac{-10}{3}\right)+\left(\frac{-12}{-7}\right)\\= \frac{10}{3}+\frac{12}{7}\\=\frac{70}{21}+\frac{36}{21}\\=\frac{70+36}{21}\\=\frac{106}{21}\)
3. \(-\left(\frac{-3}{7}\right)+\left(\frac{-7}{-8}\right)\\= \frac{3}{7}+\frac{7}{8}\\=\frac{24}{56}+\frac{49}{56}\\=\frac{24+49}{56}\\=\frac{73}{56}\)
4. \(+\left(\frac{12}{-5}\right)+\left(\frac{7}{-10}\right)\\= \frac{-12}{5}-\frac{7}{10}\\=\frac{-24}{10}-\frac{7}{10}\\=\frac{-24-7}{10}\\=\frac{-31}{10}\)
5. \(-\left(\frac{-13}{-9}\right)-\left(\frac{-2}{11}\right)\\= \frac{-13}{9}+\frac{2}{11}\\=\frac{-143}{99}+\frac{18}{99}\\=\frac{-143+18}{99}\\=\frac{-125}{99}\)
6. \(-\left(\frac{9}{-4}\right)-\left(\frac{-3}{8}\right)\\= \frac{9}{4}+\frac{3}{8}\\=\frac{18}{8}+\frac{3}{8}\\=\frac{18+3}{8}\\=\frac{21}{8}\)
7. \(+\left(\frac{2}{-7}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-2}{7}+\frac{12}{5}\\=\frac{-10}{35}+\frac{84}{35}\\=\frac{-10+84}{35}\\=\frac{74}{35}\)
8. \(-\left(\frac{12}{-5}\right)+\left(\frac{-6}{-5}\right)\\= \frac{12}{5}+\frac{6}{5}\\=\frac{12+6}{5}\\=\frac{18}{5}\)
9. \(-\left(\frac{-8}{-5}\right)+\left(\frac{13}{6}\right)\\= \frac{-8}{5}+\frac{13}{6}\\=\frac{-48}{30}+\frac{65}{30}\\=\frac{-48+65}{30}\\=\frac{17}{30}\)
10. \(-\left(\frac{-10}{9}\right)+\left(\frac{-13}{-10}\right)\\= \frac{10}{9}+\frac{13}{10}\\=\frac{100}{90}+\frac{117}{90}\\=\frac{100+117}{90}\\=\frac{217}{90}\)
11. \(+\left(\frac{-7}{-13}\right)-\left(\frac{-2}{-13}\right)\\= \frac{7}{13}-\frac{2}{13}\\=\frac{7-2}{13}\\=\frac{5}{13}\)
12. \(+\left(\frac{-6}{-11}\right)-\left(\frac{-15}{-8}\right)\\= \frac{6}{11}-\frac{15}{8}\\=\frac{48}{88}-\frac{165}{88}\\=\frac{48-165}{88}\\=\frac{-117}{88}\)