Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{-5}\right)+\left(\frac{14}{-11}\right)\\= \frac{14}{5}-\frac{14}{11}\\=\frac{154}{55}-\frac{70}{55}\\=\frac{154-70}{55}\\=\frac{84}{55}\)
2. \(+\left(\frac{2}{11}\right)+\left(\frac{-9}{10}\right)\\= \frac{2}{11}-\frac{9}{10}\\=\frac{20}{110}-\frac{99}{110}\\=\frac{20-99}{110}\\=\frac{-79}{110}\)
3. \(-\left(\frac{4}{3}\right)-\left(\frac{13}{11}\right)\\= \frac{-4}{3}-\frac{13}{11}\\=\frac{-44}{33}-\frac{39}{33}\\=\frac{-44-39}{33}\\=\frac{-83}{33}\)
4. \(+\left(\frac{-3}{5}\right)+\left(\frac{2}{3}\right)\\= \frac{-3}{5}+\frac{2}{3}\\=\frac{-9}{15}+\frac{10}{15}\\=\frac{-9+10}{15}\\=\frac{1}{15}\)
5. \(+\left(\frac{-7}{6}\right)+\left(\frac{-6}{5}\right)\\= \frac{-7}{6}-\frac{6}{5}\\=\frac{-35}{30}-\frac{36}{30}\\=\frac{-35-36}{30}\\=\frac{-71}{30}\)
6. \(+\left(\frac{11}{3}\right)-\left(\frac{-3}{4}\right)\\= \frac{11}{3}+\frac{3}{4}\\=\frac{44}{12}+\frac{9}{12}\\=\frac{44+9}{12}\\=\frac{53}{12}\)
7. \(-\left(\frac{12}{-11}\right)-\left(\frac{14}{-5}\right)\\= \frac{12}{11}+\frac{14}{5}\\=\frac{60}{55}+\frac{154}{55}\\=\frac{60+154}{55}\\=\frac{214}{55}\)
8. \(+\left(\frac{3}{-7}\right)-\left(\frac{-12}{5}\right)\\= \frac{-3}{7}+\frac{12}{5}\\=\frac{-15}{35}+\frac{84}{35}\\=\frac{-15+84}{35}\\=\frac{69}{35}\)
9. \(-\left(\frac{12}{5}\right)-\left(\frac{-13}{-11}\right)\\= \frac{-12}{5}-\frac{13}{11}\\=\frac{-132}{55}-\frac{65}{55}\\=\frac{-132-65}{55}\\=\frac{-197}{55}\)
10. \(+\left(\frac{9}{-13}\right)-\left(\frac{5}{11}\right)\\= \frac{-9}{13}-\frac{5}{11}\\=\frac{-99}{143}-\frac{65}{143}\\=\frac{-99-65}{143}\\=\frac{-164}{143}\)
11. \(+\left(\frac{-13}{-5}\right)+\left(\frac{-14}{-9}\right)\\= \frac{13}{5}+\frac{14}{9}\\=\frac{117}{45}+\frac{70}{45}\\=\frac{117+70}{45}\\=\frac{187}{45}\)
12. \(+\left(\frac{12}{-11}\right)-\left(\frac{-12}{5}\right)\\= \frac{-12}{11}+\frac{12}{5}\\=\frac{-60}{55}+\frac{132}{55}\\=\frac{-60+132}{55}\\=\frac{72}{55}\)