Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-11}\right)-\left(\frac{2}{-3}\right)\\= \frac{-5}{11}+\frac{2}{3}\\=\frac{-15}{33}+\frac{22}{33}\\=\frac{-15+22}{33}\\=\frac{7}{33}\)
2. \(+\left(\frac{2}{-13}\right)-\left(\frac{3}{-10}\right)\\= \frac{-2}{13}+\frac{3}{10}\\=\frac{-20}{130}+\frac{39}{130}\\=\frac{-20+39}{130}\\=\frac{19}{130}\)
3. \(-\left(\frac{-11}{5}\right)-\left(\frac{-15}{-4}\right)\\= \frac{11}{5}-\frac{15}{4}\\=\frac{44}{20}-\frac{75}{20}\\=\frac{44-75}{20}\\=\frac{-31}{20}\)
4. \(+\left(\frac{6}{-5}\right)-\left(\frac{-14}{3}\right)\\= \frac{-6}{5}+\frac{14}{3}\\=\frac{-18}{15}+\frac{70}{15}\\=\frac{-18+70}{15}\\=\frac{52}{15}\)
5. \(-\left(\frac{11}{-2}\right)+\left(\frac{9}{13}\right)\\= \frac{11}{2}+\frac{9}{13}\\=\frac{143}{26}+\frac{18}{26}\\=\frac{143+18}{26}\\=\frac{161}{26}\)
6. \(+\left(\frac{3}{4}\right)+\left(\frac{-2}{-7}\right)\\= \frac{3}{4}+\frac{2}{7}\\=\frac{21}{28}+\frac{8}{28}\\=\frac{21+8}{28}\\=\frac{29}{28}\)
7. \(-\left(\frac{-13}{7}\right)+\left(\frac{-4}{-11}\right)\\= \frac{13}{7}+\frac{4}{11}\\=\frac{143}{77}+\frac{28}{77}\\=\frac{143+28}{77}\\=\frac{171}{77}\)
8. \(-\left(\frac{-12}{7}\right)+\left(\frac{12}{-5}\right)\\= \frac{12}{7}-\frac{12}{5}\\=\frac{60}{35}-\frac{84}{35}\\=\frac{60-84}{35}\\=\frac{-24}{35}\)
9. \(+\left(\frac{-10}{-7}\right)-\left(\frac{-8}{-13}\right)\\= \frac{10}{7}-\frac{8}{13}\\=\frac{130}{91}-\frac{56}{91}\\=\frac{130-56}{91}\\=\frac{74}{91}\)
10. \(-\left(\frac{-12}{-5}\right)+\left(\frac{11}{-8}\right)\\= \frac{-12}{5}-\frac{11}{8}\\=\frac{-96}{40}-\frac{55}{40}\\=\frac{-96-55}{40}\\=\frac{-151}{40}\)
11. \(-\left(\frac{9}{-7}\right)+\left(\frac{-6}{7}\right)\\= \frac{9}{7}-\frac{6}{7}\\=\frac{9-6}{7}\\=\frac{3}{7}\)
12. \(+\left(\frac{-7}{6}\right)+\left(\frac{-2}{-9}\right)\\= \frac{-7}{6}+\frac{2}{9}\\=\frac{-21}{18}+\frac{4}{18}\\=\frac{-21+4}{18}\\=\frac{-17}{18}\)