Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{8}{3}\right)-\left(\frac{14}{11}\right)\\= \frac{-8}{3}-\frac{14}{11}\\=\frac{-88}{33}-\frac{42}{33}\\=\frac{-88-42}{33}\\=\frac{-130}{33}\)
2. \(-\left(\frac{5}{2}\right)+\left(\frac{5}{-7}\right)\\= \frac{-5}{2}-\frac{5}{7}\\=\frac{-35}{14}-\frac{10}{14}\\=\frac{-35-10}{14}\\=\frac{-45}{14}\)
3. \(-\left(\frac{3}{7}\right)+\left(\frac{13}{2}\right)\\= \frac{-3}{7}+\frac{13}{2}\\=\frac{-6}{14}+\frac{91}{14}\\=\frac{-6+91}{14}\\=\frac{85}{14}\)
4. \(+\left(\frac{-11}{14}\right)+\left(\frac{2}{3}\right)\\= \frac{-11}{14}+\frac{2}{3}\\=\frac{-33}{42}+\frac{28}{42}\\=\frac{-33+28}{42}\\=\frac{-5}{42}\)
5. \(+\left(\frac{11}{-10}\right)-\left(\frac{14}{-11}\right)\\= \frac{-11}{10}+\frac{14}{11}\\=\frac{-121}{110}+\frac{140}{110}\\=\frac{-121+140}{110}\\=\frac{19}{110}\)
6. \(-\left(\frac{-4}{-7}\right)-\left(\frac{2}{3}\right)\\= \frac{-4}{7}-\frac{2}{3}\\=\frac{-12}{21}-\frac{14}{21}\\=\frac{-12-14}{21}\\=\frac{-26}{21}\)
7. \(-\left(\frac{-11}{-6}\right)+\left(\frac{-3}{-8}\right)\\= \frac{-11}{6}+\frac{3}{8}\\=\frac{-44}{24}+\frac{9}{24}\\=\frac{-44+9}{24}\\=\frac{-35}{24}\)
8. \(-\left(\frac{5}{-11}\right)+\left(\frac{-14}{-3}\right)\\= \frac{5}{11}+\frac{14}{3}\\=\frac{15}{33}+\frac{154}{33}\\=\frac{15+154}{33}\\=\frac{169}{33}\)
9. \(-\left(\frac{-10}{7}\right)-\left(\frac{-12}{11}\right)\\= \frac{10}{7}+\frac{12}{11}\\=\frac{110}{77}+\frac{84}{77}\\=\frac{110+84}{77}\\=\frac{194}{77}\)
10. \(+\left(\frac{-6}{-11}\right)+\left(\frac{-12}{5}\right)\\= \frac{6}{11}-\frac{12}{5}\\=\frac{30}{55}-\frac{132}{55}\\=\frac{30-132}{55}\\=\frac{-102}{55}\)
11. \(+\left(\frac{10}{13}\right)-\left(\frac{15}{13}\right)\\= \frac{10}{13}-\frac{15}{13}\\=\frac{10-15}{13}\\=\frac{-5}{13}\)
12. \(-\left(\frac{-8}{-5}\right)-\left(\frac{-14}{-11}\right)\\= \frac{-8}{5}-\frac{14}{11}\\=\frac{-88}{55}-\frac{70}{55}\\=\frac{-88-70}{55}\\=\frac{-158}{55}\)