Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{5}{8}\right)+\left(\frac{15}{-13}\right)\\= \frac{-5}{8}-\frac{15}{13}\\=\frac{-65}{104}-\frac{120}{104}\\=\frac{-65-120}{104}\\=\frac{-185}{104}\)
2. \(+\left(\frac{14}{9}\right)-\left(\frac{-4}{11}\right)\\= \frac{14}{9}+\frac{4}{11}\\=\frac{154}{99}+\frac{36}{99}\\=\frac{154+36}{99}\\=\frac{190}{99}\)
3. \(+\left(\frac{-9}{14}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-9}{14}+\frac{4}{3}\\=\frac{-27}{42}+\frac{56}{42}\\=\frac{-27+56}{42}\\=\frac{29}{42}\)
4. \(-\left(\frac{15}{-2}\right)-\left(\frac{15}{4}\right)\\= \frac{15}{2}-\frac{15}{4}\\=\frac{30}{4}-\frac{15}{4}\\=\frac{30-15}{4}\\=\frac{15}{4}\)
5. \(-\left(\frac{-2}{5}\right)+\left(\frac{-11}{9}\right)\\= \frac{2}{5}-\frac{11}{9}\\=\frac{18}{45}-\frac{55}{45}\\=\frac{18-55}{45}\\=\frac{-37}{45}\)
6. \(-\left(\frac{-10}{-7}\right)+\left(\frac{6}{5}\right)\\= \frac{-10}{7}+\frac{6}{5}\\=\frac{-50}{35}+\frac{42}{35}\\=\frac{-50+42}{35}\\=\frac{-8}{35}\)
7. \(-\left(\frac{-6}{-11}\right)-\left(\frac{2}{-3}\right)\\= \frac{-6}{11}+\frac{2}{3}\\=\frac{-18}{33}+\frac{22}{33}\\=\frac{-18+22}{33}\\=\frac{4}{33}\)
8. \(+\left(\frac{-11}{-8}\right)+\left(\frac{2}{-11}\right)\\= \frac{11}{8}-\frac{2}{11}\\=\frac{121}{88}-\frac{16}{88}\\=\frac{121-16}{88}\\=\frac{105}{88}\)
9. \(+\left(\frac{-6}{-5}\right)+\left(\frac{-10}{-9}\right)\\= \frac{6}{5}+\frac{10}{9}\\=\frac{54}{45}+\frac{50}{45}\\=\frac{54+50}{45}\\=\frac{104}{45}\)
10. \(-\left(\frac{3}{-4}\right)+\left(\frac{8}{5}\right)\\= \frac{3}{4}+\frac{8}{5}\\=\frac{15}{20}+\frac{32}{20}\\=\frac{15+32}{20}\\=\frac{47}{20}\)
11. \(-\left(\frac{6}{5}\right)-\left(\frac{-14}{11}\right)\\= \frac{-6}{5}+\frac{14}{11}\\=\frac{-66}{55}+\frac{70}{55}\\=\frac{-66+70}{55}\\=\frac{4}{55}\)
12. \(+\left(\frac{-7}{3}\right)-\left(\frac{3}{-10}\right)\\= \frac{-7}{3}+\frac{3}{10}\\=\frac{-70}{30}+\frac{9}{30}\\=\frac{-70+9}{30}\\=\frac{-61}{30}\)