Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{4}\right)-\left(\frac{-6}{11}\right)\\= \frac{5}{4}+\frac{6}{11}\\=\frac{55}{44}+\frac{24}{44}\\=\frac{55+24}{44}\\=\frac{79}{44}\)
2. \(-\left(\frac{-11}{-2}\right)-\left(\frac{-14}{-13}\right)\\= \frac{-11}{2}-\frac{14}{13}\\=\frac{-143}{26}-\frac{28}{26}\\=\frac{-143-28}{26}\\=\frac{-171}{26}\)
3. \(+\left(\frac{-3}{7}\right)+\left(\frac{-7}{-5}\right)\\= \frac{-3}{7}+\frac{7}{5}\\=\frac{-15}{35}+\frac{49}{35}\\=\frac{-15+49}{35}\\=\frac{34}{35}\)
4. \(+\left(\frac{4}{11}\right)+\left(\frac{-12}{-11}\right)\\= \frac{4}{11}+\frac{12}{11}\\=\frac{4+12}{11}\\=\frac{16}{11}\)
5. \(+\left(\frac{-10}{9}\right)+\left(\frac{-9}{-10}\right)\\= \frac{-10}{9}+\frac{9}{10}\\=\frac{-100}{90}+\frac{81}{90}\\=\frac{-100+81}{90}\\=\frac{-19}{90}\)
6. \(+\left(\frac{5}{-7}\right)-\left(\frac{4}{-13}\right)\\= \frac{-5}{7}+\frac{4}{13}\\=\frac{-65}{91}+\frac{28}{91}\\=\frac{-65+28}{91}\\=\frac{-37}{91}\)
7. \(+\left(\frac{-6}{5}\right)+\left(\frac{-10}{-3}\right)\\= \frac{-6}{5}+\frac{10}{3}\\=\frac{-18}{15}+\frac{50}{15}\\=\frac{-18+50}{15}\\=\frac{32}{15}\)
8. \(+\left(\frac{-15}{11}\right)-\left(\frac{3}{14}\right)\\= \frac{-15}{11}-\frac{3}{14}\\=\frac{-210}{154}-\frac{33}{154}\\=\frac{-210-33}{154}\\=\frac{-243}{154}\)
9. \(+\left(\frac{-13}{-2}\right)+\left(\frac{-6}{11}\right)\\= \frac{13}{2}-\frac{6}{11}\\=\frac{143}{22}-\frac{12}{22}\\=\frac{143-12}{22}\\=\frac{131}{22}\)
10. \(+\left(\frac{8}{13}\right)+\left(\frac{6}{-13}\right)\\= \frac{8}{13}-\frac{6}{13}\\=\frac{8-6}{13}\\=\frac{2}{13}\)
11. \(+\left(\frac{2}{-5}\right)-\left(\frac{-2}{7}\right)\\= \frac{-2}{5}+\frac{2}{7}\\=\frac{-14}{35}+\frac{10}{35}\\=\frac{-14+10}{35}\\=\frac{-4}{35}\)
12. \(+\left(\frac{13}{-8}\right)+\left(\frac{-2}{7}\right)\\= \frac{-13}{8}-\frac{2}{7}\\=\frac{-91}{56}-\frac{16}{56}\\=\frac{-91-16}{56}\\=\frac{-107}{56}\)