Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{3}\right)-\left(\frac{3}{-2}\right)\\= \frac{8}{3}+\frac{3}{2}\\=\frac{16}{6}+\frac{9}{6}\\=\frac{16+9}{6}\\=\frac{25}{6}\)
2. \(+\left(\frac{-11}{-9}\right)+\left(\frac{-15}{14}\right)\\= \frac{11}{9}-\frac{15}{14}\\=\frac{154}{126}-\frac{135}{126}\\=\frac{154-135}{126}\\=\frac{19}{126}\)
3. \(+\left(\frac{12}{-11}\right)-\left(\frac{6}{-5}\right)\\= \frac{-12}{11}+\frac{6}{5}\\=\frac{-60}{55}+\frac{66}{55}\\=\frac{-60+66}{55}\\=\frac{6}{55}\)
4. \(+\left(\frac{-15}{11}\right)+\left(\frac{6}{-5}\right)\\= \frac{-15}{11}-\frac{6}{5}\\=\frac{-75}{55}-\frac{66}{55}\\=\frac{-75-66}{55}\\=\frac{-141}{55}\)
5. \(-\left(\frac{-3}{14}\right)-\left(\frac{7}{13}\right)\\= \frac{3}{14}-\frac{7}{13}\\=\frac{39}{182}-\frac{98}{182}\\=\frac{39-98}{182}\\=\frac{-59}{182}\)
6. \(-\left(\frac{-5}{-14}\right)-\left(\frac{-4}{13}\right)\\= \frac{-5}{14}+\frac{4}{13}\\=\frac{-65}{182}+\frac{56}{182}\\=\frac{-65+56}{182}\\=\frac{-9}{182}\)
7. \(-\left(\frac{4}{-7}\right)+\left(\frac{2}{-11}\right)\\= \frac{4}{7}-\frac{2}{11}\\=\frac{44}{77}-\frac{14}{77}\\=\frac{44-14}{77}\\=\frac{30}{77}\)
8. \(+\left(\frac{13}{10}\right)-\left(\frac{-5}{-14}\right)\\= \frac{13}{10}-\frac{5}{14}\\=\frac{91}{70}-\frac{25}{70}\\=\frac{91-25}{70}\\=\frac{66}{70}\\=\frac{33}{35}\)
9. \(+\left(\frac{-8}{-7}\right)+\left(\frac{4}{3}\right)\\= \frac{8}{7}+\frac{4}{3}\\=\frac{24}{21}+\frac{28}{21}\\=\frac{24+28}{21}\\=\frac{52}{21}\)
10. \(+\left(\frac{5}{3}\right)-\left(\frac{-6}{-13}\right)\\= \frac{5}{3}-\frac{6}{13}\\=\frac{65}{39}-\frac{18}{39}\\=\frac{65-18}{39}\\=\frac{47}{39}\)
11. \(+\left(\frac{7}{3}\right)-\left(\frac{6}{11}\right)\\= \frac{7}{3}-\frac{6}{11}\\=\frac{77}{33}-\frac{18}{33}\\=\frac{77-18}{33}\\=\frac{59}{33}\)
12. \(+\left(\frac{-6}{11}\right)+\left(\frac{-4}{9}\right)\\= \frac{-6}{11}-\frac{4}{9}\\=\frac{-54}{99}-\frac{44}{99}\\=\frac{-54-44}{99}\\=\frac{-98}{99}\)