Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{9}\right)+\left(\frac{3}{5}\right)\\= \frac{13}{9}+\frac{3}{5}\\=\frac{65}{45}+\frac{27}{45}\\=\frac{65+27}{45}\\=\frac{92}{45}\)
2. \(-\left(\frac{-11}{-6}\right)+\left(\frac{4}{-13}\right)\\= \frac{-11}{6}-\frac{4}{13}\\=\frac{-143}{78}-\frac{24}{78}\\=\frac{-143-24}{78}\\=\frac{-167}{78}\)
3. \(+\left(\frac{-12}{-11}\right)-\left(\frac{3}{13}\right)\\= \frac{12}{11}-\frac{3}{13}\\=\frac{156}{143}-\frac{33}{143}\\=\frac{156-33}{143}\\=\frac{123}{143}\)
4. \(-\left(\frac{3}{7}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-3}{7}-\frac{4}{3}\\=\frac{-9}{21}-\frac{28}{21}\\=\frac{-9-28}{21}\\=\frac{-37}{21}\)
5. \(+\left(\frac{10}{7}\right)+\left(\frac{11}{-7}\right)\\= \frac{10}{7}-\frac{11}{7}\\=\frac{10-11}{7}\\=\frac{-1}{7}\)
6. \(+\left(\frac{-11}{14}\right)+\left(\frac{2}{-3}\right)\\= \frac{-11}{14}-\frac{2}{3}\\=\frac{-33}{42}-\frac{28}{42}\\=\frac{-33-28}{42}\\=\frac{-61}{42}\)
7. \(+\left(\frac{-13}{12}\right)-\left(\frac{-11}{6}\right)\\= \frac{-13}{12}+\frac{11}{6}\\=\frac{-13+11}{12}\\=\frac{-2}{12}\\=\frac{-1}{6}\)
8. \(-\left(\frac{-15}{8}\right)-\left(\frac{-7}{-5}\right)\\= \frac{15}{8}-\frac{7}{5}\\=\frac{75}{40}-\frac{56}{40}\\=\frac{75-56}{40}\\=\frac{19}{40}\)
9. \(+\left(\frac{-11}{-12}\right)+\left(\frac{14}{9}\right)\\= \frac{11}{12}+\frac{14}{9}\\=\frac{33}{36}+\frac{56}{36}\\=\frac{33+56}{36}\\=\frac{89}{36}\)
10. \(-\left(\frac{14}{3}\right)-\left(\frac{-10}{-7}\right)\\= \frac{-14}{3}-\frac{10}{7}\\=\frac{-98}{21}-\frac{30}{21}\\=\frac{-98-30}{21}\\=\frac{-128}{21}\)
11. \(+\left(\frac{-8}{13}\right)+\left(\frac{7}{-8}\right)\\= \frac{-8}{13}-\frac{7}{8}\\=\frac{-64}{104}-\frac{91}{104}\\=\frac{-64-91}{104}\\=\frac{-155}{104}\)
12. \(+\left(\frac{-14}{-3}\right)+\left(\frac{-4}{5}\right)\\= \frac{14}{3}-\frac{4}{5}\\=\frac{70}{15}-\frac{12}{15}\\=\frac{70-12}{15}\\=\frac{58}{15}\)