Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{11}{9}\right)+\left(\frac{-11}{-12}\right)\\= \frac{11}{9}+\frac{11}{12}\\=\frac{44}{36}+\frac{33}{36}\\=\frac{44+33}{36}\\=\frac{77}{36}\)
2. \(-\left(\frac{-13}{-10}\right)-\left(\frac{11}{12}\right)\\= \frac{-13}{10}-\frac{11}{12}\\=\frac{-78}{60}-\frac{55}{60}\\=\frac{-78-55}{60}\\=\frac{-133}{60}\)
3. \(-\left(\frac{10}{-9}\right)-\left(\frac{3}{-13}\right)\\= \frac{10}{9}+\frac{3}{13}\\=\frac{130}{117}+\frac{27}{117}\\=\frac{130+27}{117}\\=\frac{157}{117}\)
4. \(-\left(\frac{4}{-3}\right)-\left(\frac{-12}{5}\right)\\= \frac{4}{3}+\frac{12}{5}\\=\frac{20}{15}+\frac{36}{15}\\=\frac{20+36}{15}\\=\frac{56}{15}\)
5. \(-\left(\frac{-5}{-14}\right)+\left(\frac{-8}{-7}\right)\\= \frac{-5}{14}+\frac{8}{7}\\=\frac{-5+8}{14}\\=\frac{3}{14}\)
6. \(+\left(\frac{3}{8}\right)+\left(\frac{-11}{6}\right)\\= \frac{3}{8}-\frac{11}{6}\\=\frac{9}{24}-\frac{44}{24}\\=\frac{9-44}{24}\\=\frac{-35}{24}\)
7. \(-\left(\frac{12}{-5}\right)+\left(\frac{8}{-7}\right)\\= \frac{12}{5}-\frac{8}{7}\\=\frac{84}{35}-\frac{40}{35}\\=\frac{84-40}{35}\\=\frac{44}{35}\)
8. \(-\left(\frac{12}{-11}\right)+\left(\frac{-8}{-9}\right)\\= \frac{12}{11}+\frac{8}{9}\\=\frac{108}{99}+\frac{88}{99}\\=\frac{108+88}{99}\\=\frac{196}{99}\)
9. \(+\left(\frac{-3}{-14}\right)+\left(\frac{-2}{-3}\right)\\= \frac{3}{14}+\frac{2}{3}\\=\frac{9}{42}+\frac{28}{42}\\=\frac{9+28}{42}\\=\frac{37}{42}\)
10. \(-\left(\frac{3}{10}\right)-\left(\frac{-15}{-4}\right)\\= \frac{-3}{10}-\frac{15}{4}\\=\frac{-6}{20}-\frac{75}{20}\\=\frac{-6-75}{20}\\=\frac{-81}{20}\)
11. \(-\left(\frac{-8}{-13}\right)+\left(\frac{-7}{2}\right)\\= \frac{-8}{13}-\frac{7}{2}\\=\frac{-16}{26}-\frac{91}{26}\\=\frac{-16-91}{26}\\=\frac{-107}{26}\)
12. \(+\left(\frac{-9}{5}\right)-\left(\frac{12}{-11}\right)\\= \frac{-9}{5}+\frac{12}{11}\\=\frac{-99}{55}+\frac{60}{55}\\=\frac{-99+60}{55}\\=\frac{-39}{55}\)