Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{3}{7}\right)+\left(\frac{-12}{-5}\right)\\= \frac{3}{7}+\frac{12}{5}\\=\frac{15}{35}+\frac{84}{35}\\=\frac{15+84}{35}\\=\frac{99}{35}\)
2. \(-\left(\frac{10}{-3}\right)-\left(\frac{13}{-14}\right)\\= \frac{10}{3}+\frac{13}{14}\\=\frac{140}{42}+\frac{39}{42}\\=\frac{140+39}{42}\\=\frac{179}{42}\)
3. \(-\left(\frac{3}{11}\right)-\left(\frac{13}{12}\right)\\= \frac{-3}{11}-\frac{13}{12}\\=\frac{-36}{132}-\frac{143}{132}\\=\frac{-36-143}{132}\\=\frac{-179}{132}\)
4. \(+\left(\frac{13}{2}\right)-\left(\frac{2}{11}\right)\\= \frac{13}{2}-\frac{2}{11}\\=\frac{143}{22}-\frac{4}{22}\\=\frac{143-4}{22}\\=\frac{139}{22}\)
5. \(+\left(\frac{-4}{-3}\right)-\left(\frac{-15}{11}\right)\\= \frac{4}{3}+\frac{15}{11}\\=\frac{44}{33}+\frac{45}{33}\\=\frac{44+45}{33}\\=\frac{89}{33}\)
6. \(-\left(\frac{6}{5}\right)+\left(\frac{8}{3}\right)\\= \frac{-6}{5}+\frac{8}{3}\\=\frac{-18}{15}+\frac{40}{15}\\=\frac{-18+40}{15}\\=\frac{22}{15}\)
7. \(-\left(\frac{5}{-14}\right)-\left(\frac{15}{-7}\right)\\= \frac{5}{14}+\frac{15}{7}\\=\frac{5+15}{14}\\=\frac{20}{14}\\=\frac{10}{7}\)
8. \(+\left(\frac{-15}{-7}\right)-\left(\frac{3}{13}\right)\\= \frac{15}{7}-\frac{3}{13}\\=\frac{195}{91}-\frac{21}{91}\\=\frac{195-21}{91}\\=\frac{174}{91}\)
9. \(+\left(\frac{-7}{12}\right)+\left(\frac{-12}{11}\right)\\= \frac{-7}{12}-\frac{12}{11}\\=\frac{-77}{132}-\frac{144}{132}\\=\frac{-77-144}{132}\\=\frac{-221}{132}\)
10. \(-\left(\frac{15}{11}\right)-\left(\frac{10}{-11}\right)\\= \frac{-15}{11}+\frac{10}{11}\\=\frac{-15+10}{11}\\=\frac{-5}{11}\)
11. \(-\left(\frac{-8}{-11}\right)+\left(\frac{-5}{-6}\right)\\= \frac{-8}{11}+\frac{5}{6}\\=\frac{-48}{66}+\frac{55}{66}\\=\frac{-48+55}{66}\\=\frac{7}{66}\)
12. \(-\left(\frac{-9}{-2}\right)+\left(\frac{-14}{5}\right)\\= \frac{-9}{2}-\frac{14}{5}\\=\frac{-45}{10}-\frac{28}{10}\\=\frac{-45-28}{10}\\=\frac{-73}{10}\)