Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{7}\right)+\left(\frac{-15}{-7}\right)\\= \frac{-3}{7}+\frac{15}{7}\\=\frac{-3+15}{7}\\=\frac{12}{7}\)
2. \(-\left(\frac{-8}{3}\right)+\left(\frac{-15}{14}\right)\\= \frac{8}{3}-\frac{15}{14}\\=\frac{112}{42}-\frac{45}{42}\\=\frac{112-45}{42}\\=\frac{67}{42}\)
3. \(+\left(\frac{8}{9}\right)-\left(\frac{2}{-3}\right)\\= \frac{8}{9}+\frac{2}{3}\\=\frac{8+2}{9}\\=\frac{10}{9}\)
4. \(-\left(\frac{4}{-5}\right)-\left(\frac{7}{12}\right)\\= \frac{4}{5}-\frac{7}{12}\\=\frac{48}{60}-\frac{35}{60}\\=\frac{48-35}{60}\\=\frac{13}{60}\)
5. \(-\left(\frac{7}{-5}\right)-\left(\frac{-8}{-11}\right)\\= \frac{7}{5}-\frac{8}{11}\\=\frac{77}{55}-\frac{40}{55}\\=\frac{77-40}{55}\\=\frac{37}{55}\)
6. \(+\left(\frac{-3}{11}\right)-\left(\frac{-12}{11}\right)\\= \frac{-3}{11}+\frac{12}{11}\\=\frac{-3+12}{11}\\=\frac{9}{11}\)
7. \(+\left(\frac{3}{7}\right)-\left(\frac{-8}{-13}\right)\\= \frac{3}{7}-\frac{8}{13}\\=\frac{39}{91}-\frac{56}{91}\\=\frac{39-56}{91}\\=\frac{-17}{91}\)
8. \(-\left(\frac{14}{-3}\right)+\left(\frac{-13}{-4}\right)\\= \frac{14}{3}+\frac{13}{4}\\=\frac{56}{12}+\frac{39}{12}\\=\frac{56+39}{12}\\=\frac{95}{12}\)
9. \(-\left(\frac{-11}{5}\right)+\left(\frac{4}{5}\right)\\= \frac{11}{5}+\frac{4}{5}\\=\frac{11+4}{5}\\=\frac{15}{5}\\=\frac{3}{1}\)
10. \(+\left(\frac{-4}{-3}\right)+\left(\frac{9}{-7}\right)\\= \frac{4}{3}-\frac{9}{7}\\=\frac{28}{21}-\frac{27}{21}\\=\frac{28-27}{21}\\=\frac{1}{21}\)
11. \(-\left(\frac{6}{5}\right)-\left(\frac{-12}{5}\right)\\= \frac{-6}{5}+\frac{12}{5}\\=\frac{-6+12}{5}\\=\frac{6}{5}\)
12. \(+\left(\frac{13}{-5}\right)+\left(\frac{-15}{-7}\right)\\= \frac{-13}{5}+\frac{15}{7}\\=\frac{-91}{35}+\frac{75}{35}\\=\frac{-91+75}{35}\\=\frac{-16}{35}\)