Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{12}{5}\right)+\left(\frac{10}{7}\right)\\= \frac{-12}{5}+\frac{10}{7}\\=\frac{-84}{35}+\frac{50}{35}\\=\frac{-84+50}{35}\\=\frac{-34}{35}\)
2. \(-\left(\frac{2}{-11}\right)-\left(\frac{15}{-11}\right)\\= \frac{2}{11}+\frac{15}{11}\\=\frac{2+15}{11}\\=\frac{17}{11}\)
3. \(-\left(\frac{-8}{-3}\right)+\left(\frac{-13}{-2}\right)\\= \frac{-8}{3}+\frac{13}{2}\\=\frac{-16}{6}+\frac{39}{6}\\=\frac{-16+39}{6}\\=\frac{23}{6}\)
4. \(+\left(\frac{13}{10}\right)-\left(\frac{-13}{9}\right)\\= \frac{13}{10}+\frac{13}{9}\\=\frac{117}{90}+\frac{130}{90}\\=\frac{117+130}{90}\\=\frac{247}{90}\)
5. \(-\left(\frac{3}{7}\right)+\left(\frac{-12}{11}\right)\\= \frac{-3}{7}-\frac{12}{11}\\=\frac{-33}{77}-\frac{84}{77}\\=\frac{-33-84}{77}\\=\frac{-117}{77}\)
6. \(+\left(\frac{3}{-8}\right)-\left(\frac{8}{-11}\right)\\= \frac{-3}{8}+\frac{8}{11}\\=\frac{-33}{88}+\frac{64}{88}\\=\frac{-33+64}{88}\\=\frac{31}{88}\)
7. \(+\left(\frac{5}{2}\right)-\left(\frac{-3}{-13}\right)\\= \frac{5}{2}-\frac{3}{13}\\=\frac{65}{26}-\frac{6}{26}\\=\frac{65-6}{26}\\=\frac{59}{26}\)
8. \(+\left(\frac{10}{-7}\right)+\left(\frac{10}{-3}\right)\\= \frac{-10}{7}-\frac{10}{3}\\=\frac{-30}{21}-\frac{70}{21}\\=\frac{-30-70}{21}\\=\frac{-100}{21}\)
9. \(+\left(\frac{4}{-3}\right)+\left(\frac{10}{-11}\right)\\= \frac{-4}{3}-\frac{10}{11}\\=\frac{-44}{33}-\frac{30}{33}\\=\frac{-44-30}{33}\\=\frac{-74}{33}\)
10. \(+\left(\frac{12}{11}\right)+\left(\frac{13}{9}\right)\\= \frac{12}{11}+\frac{13}{9}\\=\frac{108}{99}+\frac{143}{99}\\=\frac{108+143}{99}\\=\frac{251}{99}\)
11. \(+\left(\frac{-10}{7}\right)-\left(\frac{-3}{-13}\right)\\= \frac{-10}{7}-\frac{3}{13}\\=\frac{-130}{91}-\frac{21}{91}\\=\frac{-130-21}{91}\\=\frac{-151}{91}\)
12. \(-\left(\frac{12}{13}\right)+\left(\frac{-9}{13}\right)\\= \frac{-12}{13}-\frac{9}{13}\\=\frac{-12-9}{13}\\=\frac{-21}{13}\)