Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{13}\right)-\left(\frac{11}{6}\right)\\= \frac{4}{13}-\frac{11}{6}\\=\frac{24}{78}-\frac{143}{78}\\=\frac{24-143}{78}\\=\frac{-119}{78}\)
2. \(+\left(\frac{2}{11}\right)-\left(\frac{-7}{13}\right)\\= \frac{2}{11}+\frac{7}{13}\\=\frac{26}{143}+\frac{77}{143}\\=\frac{26+77}{143}\\=\frac{103}{143}\)
3. \(+\left(\frac{3}{-10}\right)+\left(\frac{13}{-7}\right)\\= \frac{-3}{10}-\frac{13}{7}\\=\frac{-21}{70}-\frac{130}{70}\\=\frac{-21-130}{70}\\=\frac{-151}{70}\)
4. \(+\left(\frac{-5}{2}\right)+\left(\frac{6}{-13}\right)\\= \frac{-5}{2}-\frac{6}{13}\\=\frac{-65}{26}-\frac{12}{26}\\=\frac{-65-12}{26}\\=\frac{-77}{26}\)
5. \(+\left(\frac{15}{-14}\right)+\left(\frac{-7}{5}\right)\\= \frac{-15}{14}-\frac{7}{5}\\=\frac{-75}{70}-\frac{98}{70}\\=\frac{-75-98}{70}\\=\frac{-173}{70}\)
6. \(+\left(\frac{-10}{-9}\right)+\left(\frac{2}{7}\right)\\= \frac{10}{9}+\frac{2}{7}\\=\frac{70}{63}+\frac{18}{63}\\=\frac{70+18}{63}\\=\frac{88}{63}\)
7. \(+\left(\frac{8}{-9}\right)-\left(\frac{-14}{-3}\right)\\= \frac{-8}{9}-\frac{14}{3}\\=\frac{-8-14}{9}\\=\frac{-22}{9}\)
8. \(+\left(\frac{13}{7}\right)-\left(\frac{-10}{-3}\right)\\= \frac{13}{7}-\frac{10}{3}\\=\frac{39}{21}-\frac{70}{21}\\=\frac{39-70}{21}\\=\frac{-31}{21}\)
9. \(-\left(\frac{-3}{-2}\right)-\left(\frac{-6}{11}\right)\\= \frac{-3}{2}+\frac{6}{11}\\=\frac{-33}{22}+\frac{12}{22}\\=\frac{-33+12}{22}\\=\frac{-21}{22}\)
10. \(-\left(\frac{-4}{5}\right)+\left(\frac{4}{7}\right)\\= \frac{4}{5}+\frac{4}{7}\\=\frac{28}{35}+\frac{20}{35}\\=\frac{28+20}{35}\\=\frac{48}{35}\)
11. \(-\left(\frac{-9}{-13}\right)-\left(\frac{-3}{-14}\right)\\= \frac{-9}{13}-\frac{3}{14}\\=\frac{-126}{182}-\frac{39}{182}\\=\frac{-126-39}{182}\\=\frac{-165}{182}\)
12. \(+\left(\frac{-8}{13}\right)-\left(\frac{3}{-7}\right)\\= \frac{-8}{13}+\frac{3}{7}\\=\frac{-56}{91}+\frac{39}{91}\\=\frac{-56+39}{91}\\=\frac{-17}{91}\)