Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{15}{-4}\right)-\left(\frac{-3}{-10}\right)\\= \frac{-15}{4}-\frac{3}{10}\\=\frac{-75}{20}-\frac{6}{20}\\=\frac{-75-6}{20}\\=\frac{-81}{20}\)
2. \(-\left(\frac{-4}{13}\right)+\left(\frac{-7}{-8}\right)\\= \frac{4}{13}+\frac{7}{8}\\=\frac{32}{104}+\frac{91}{104}\\=\frac{32+91}{104}\\=\frac{123}{104}\)
3. \(+\left(\frac{9}{5}\right)-\left(\frac{-2}{9}\right)\\= \frac{9}{5}+\frac{2}{9}\\=\frac{81}{45}+\frac{10}{45}\\=\frac{81+10}{45}\\=\frac{91}{45}\)
4. \(-\left(\frac{3}{13}\right)-\left(\frac{-12}{7}\right)\\= \frac{-3}{13}+\frac{12}{7}\\=\frac{-21}{91}+\frac{156}{91}\\=\frac{-21+156}{91}\\=\frac{135}{91}\)
5. \(+\left(\frac{10}{7}\right)-\left(\frac{-8}{-5}\right)\\= \frac{10}{7}-\frac{8}{5}\\=\frac{50}{35}-\frac{56}{35}\\=\frac{50-56}{35}\\=\frac{-6}{35}\)
6. \(+\left(\frac{-3}{-10}\right)+\left(\frac{-11}{-14}\right)\\= \frac{3}{10}+\frac{11}{14}\\=\frac{21}{70}+\frac{55}{70}\\=\frac{21+55}{70}\\=\frac{76}{70}\\=\frac{38}{35}\)
7. \(-\left(\frac{11}{-3}\right)+\left(\frac{8}{5}\right)\\= \frac{11}{3}+\frac{8}{5}\\=\frac{55}{15}+\frac{24}{15}\\=\frac{55+24}{15}\\=\frac{79}{15}\)
8. \(+\left(\frac{-2}{-3}\right)+\left(\frac{-15}{11}\right)\\= \frac{2}{3}-\frac{15}{11}\\=\frac{22}{33}-\frac{45}{33}\\=\frac{22-45}{33}\\=\frac{-23}{33}\)
9. \(-\left(\frac{11}{7}\right)+\left(\frac{7}{6}\right)\\= \frac{-11}{7}+\frac{7}{6}\\=\frac{-66}{42}+\frac{49}{42}\\=\frac{-66+49}{42}\\=\frac{-17}{42}\)
10. \(-\left(\frac{-10}{-9}\right)+\left(\frac{3}{8}\right)\\= \frac{-10}{9}+\frac{3}{8}\\=\frac{-80}{72}+\frac{27}{72}\\=\frac{-80+27}{72}\\=\frac{-53}{72}\)
11. \(-\left(\frac{11}{-13}\right)-\left(\frac{-3}{2}\right)\\= \frac{11}{13}+\frac{3}{2}\\=\frac{22}{26}+\frac{39}{26}\\=\frac{22+39}{26}\\=\frac{61}{26}\)
12. \(-\left(\frac{-14}{5}\right)+\left(\frac{5}{6}\right)\\= \frac{14}{5}+\frac{5}{6}\\=\frac{84}{30}+\frac{25}{30}\\=\frac{84+25}{30}\\=\frac{109}{30}\)