Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{3}\right)-\left(\frac{10}{7}\right)\\= \frac{-4}{3}-\frac{10}{7}\\=\frac{-28}{21}-\frac{30}{21}\\=\frac{-28-30}{21}\\=\frac{-58}{21}\)
2. \(+\left(\frac{5}{2}\right)-\left(\frac{-14}{-3}\right)\\= \frac{5}{2}-\frac{14}{3}\\=\frac{15}{6}-\frac{28}{6}\\=\frac{15-28}{6}\\=\frac{-13}{6}\)
3. \(-\left(\frac{-12}{-11}\right)-\left(\frac{-10}{11}\right)\\= \frac{-12}{11}+\frac{10}{11}\\=\frac{-12+10}{11}\\=\frac{-2}{11}\)
4. \(+\left(\frac{14}{-11}\right)+\left(\frac{-3}{-14}\right)\\= \frac{-14}{11}+\frac{3}{14}\\=\frac{-196}{154}+\frac{33}{154}\\=\frac{-196+33}{154}\\=\frac{-163}{154}\)
5. \(-\left(\frac{11}{-13}\right)+\left(\frac{9}{8}\right)\\= \frac{11}{13}+\frac{9}{8}\\=\frac{88}{104}+\frac{117}{104}\\=\frac{88+117}{104}\\=\frac{205}{104}\)
6. \(-\left(\frac{12}{-13}\right)+\left(\frac{8}{7}\right)\\= \frac{12}{13}+\frac{8}{7}\\=\frac{84}{91}+\frac{104}{91}\\=\frac{84+104}{91}\\=\frac{188}{91}\)
7. \(-\left(\frac{13}{-10}\right)+\left(\frac{7}{6}\right)\\= \frac{13}{10}+\frac{7}{6}\\=\frac{39}{30}+\frac{35}{30}\\=\frac{39+35}{30}\\=\frac{74}{30}\\=\frac{37}{15}\)
8. \(-\left(\frac{5}{11}\right)-\left(\frac{6}{-13}\right)\\= \frac{-5}{11}+\frac{6}{13}\\=\frac{-65}{143}+\frac{66}{143}\\=\frac{-65+66}{143}\\=\frac{1}{143}\)
9. \(+\left(\frac{10}{-3}\right)-\left(\frac{-9}{10}\right)\\= \frac{-10}{3}+\frac{9}{10}\\=\frac{-100}{30}+\frac{27}{30}\\=\frac{-100+27}{30}\\=\frac{-73}{30}\)
10. \(+\left(\frac{5}{6}\right)-\left(\frac{10}{-13}\right)\\= \frac{5}{6}+\frac{10}{13}\\=\frac{65}{78}+\frac{60}{78}\\=\frac{65+60}{78}\\=\frac{125}{78}\)
11. \(+\left(\frac{-15}{-4}\right)-\left(\frac{4}{3}\right)\\= \frac{15}{4}-\frac{4}{3}\\=\frac{45}{12}-\frac{16}{12}\\=\frac{45-16}{12}\\=\frac{29}{12}\)
12. \(-\left(\frac{3}{5}\right)+\left(\frac{-14}{-13}\right)\\= \frac{-3}{5}+\frac{14}{13}\\=\frac{-39}{65}+\frac{70}{65}\\=\frac{-39+70}{65}\\=\frac{31}{65}\)