Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{11}\right)+\left(\frac{-9}{5}\right)\\= \frac{15}{11}-\frac{9}{5}\\=\frac{75}{55}-\frac{99}{55}\\=\frac{75-99}{55}\\=\frac{-24}{55}\)
2. \(+\left(\frac{10}{-7}\right)+\left(\frac{-4}{3}\right)\\= \frac{-10}{7}-\frac{4}{3}\\=\frac{-30}{21}-\frac{28}{21}\\=\frac{-30-28}{21}\\=\frac{-58}{21}\)
3. \(+\left(\frac{-4}{-3}\right)+\left(\frac{6}{11}\right)\\= \frac{4}{3}+\frac{6}{11}\\=\frac{44}{33}+\frac{18}{33}\\=\frac{44+18}{33}\\=\frac{62}{33}\)
4. \(-\left(\frac{-14}{-13}\right)-\left(\frac{-6}{5}\right)\\= \frac{-14}{13}+\frac{6}{5}\\=\frac{-70}{65}+\frac{78}{65}\\=\frac{-70+78}{65}\\=\frac{8}{65}\)
5. \(-\left(\frac{-9}{7}\right)-\left(\frac{-2}{-5}\right)\\= \frac{9}{7}-\frac{2}{5}\\=\frac{45}{35}-\frac{14}{35}\\=\frac{45-14}{35}\\=\frac{31}{35}\)
6. \(+\left(\frac{-8}{-11}\right)-\left(\frac{6}{-7}\right)\\= \frac{8}{11}+\frac{6}{7}\\=\frac{56}{77}+\frac{66}{77}\\=\frac{56+66}{77}\\=\frac{122}{77}\)
7. \(+\left(\frac{7}{-2}\right)+\left(\frac{-13}{4}\right)\\= \frac{-7}{2}-\frac{13}{4}\\=\frac{-14}{4}-\frac{13}{4}\\=\frac{-14-13}{4}\\=\frac{-27}{4}\)
8. \(-\left(\frac{13}{11}\right)+\left(\frac{-4}{-3}\right)\\= \frac{-13}{11}+\frac{4}{3}\\=\frac{-39}{33}+\frac{44}{33}\\=\frac{-39+44}{33}\\=\frac{5}{33}\)
9. \(-\left(\frac{-12}{5}\right)-\left(\frac{4}{3}\right)\\= \frac{12}{5}-\frac{4}{3}\\=\frac{36}{15}-\frac{20}{15}\\=\frac{36-20}{15}\\=\frac{16}{15}\)
10. \(-\left(\frac{7}{-12}\right)+\left(\frac{-3}{4}\right)\\= \frac{7}{12}-\frac{3}{4}\\=\frac{7-3}{12}\\=\frac{4}{12}\\=\frac{1}{3}\)
11. \(+\left(\frac{6}{-13}\right)-\left(\frac{11}{2}\right)\\= \frac{-6}{13}-\frac{11}{2}\\=\frac{-12}{26}-\frac{143}{26}\\=\frac{-12-143}{26}\\=\frac{-155}{26}\)
12. \(-\left(\frac{2}{-3}\right)-\left(\frac{-3}{-5}\right)\\= \frac{2}{3}-\frac{3}{5}\\=\frac{10}{15}-\frac{9}{15}\\=\frac{10-9}{15}\\=\frac{1}{15}\)