Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{-5}\right)-\left(\frac{7}{-11}\right)\\= \frac{-6}{5}+\frac{7}{11}\\=\frac{-66}{55}+\frac{35}{55}\\=\frac{-66+35}{55}\\=\frac{-31}{55}\)
2. \(-\left(\frac{-15}{11}\right)+\left(\frac{-8}{-11}\right)\\= \frac{15}{11}+\frac{8}{11}\\=\frac{15+8}{11}\\=\frac{23}{11}\)
3. \(+\left(\frac{9}{-5}\right)+\left(\frac{14}{9}\right)\\= \frac{-9}{5}+\frac{14}{9}\\=\frac{-81}{45}+\frac{70}{45}\\=\frac{-81+70}{45}\\=\frac{-11}{45}\)
4. \(-\left(\frac{-9}{-10}\right)+\left(\frac{3}{-7}\right)\\= \frac{-9}{10}-\frac{3}{7}\\=\frac{-63}{70}-\frac{30}{70}\\=\frac{-63-30}{70}\\=\frac{-93}{70}\)
5. \(+\left(\frac{-9}{7}\right)-\left(\frac{9}{11}\right)\\= \frac{-9}{7}-\frac{9}{11}\\=\frac{-99}{77}-\frac{63}{77}\\=\frac{-99-63}{77}\\=\frac{-162}{77}\)
6. \(+\left(\frac{-2}{-9}\right)-\left(\frac{-5}{8}\right)\\= \frac{2}{9}+\frac{5}{8}\\=\frac{16}{72}+\frac{45}{72}\\=\frac{16+45}{72}\\=\frac{61}{72}\)
7. \(+\left(\frac{2}{3}\right)+\left(\frac{-8}{-3}\right)\\= \frac{2}{3}+\frac{8}{3}\\=\frac{2+8}{3}\\=\frac{10}{3}\)
8. \(-\left(\frac{8}{-5}\right)-\left(\frac{7}{-2}\right)\\= \frac{8}{5}+\frac{7}{2}\\=\frac{16}{10}+\frac{35}{10}\\=\frac{16+35}{10}\\=\frac{51}{10}\)
9. \(-\left(\frac{13}{-14}\right)-\left(\frac{2}{-9}\right)\\= \frac{13}{14}+\frac{2}{9}\\=\frac{117}{126}+\frac{28}{126}\\=\frac{117+28}{126}\\=\frac{145}{126}\)
10. \(+\left(\frac{8}{-5}\right)-\left(\frac{-8}{9}\right)\\= \frac{-8}{5}+\frac{8}{9}\\=\frac{-72}{45}+\frac{40}{45}\\=\frac{-72+40}{45}\\=\frac{-32}{45}\)
11. \(+\left(\frac{3}{-4}\right)+\left(\frac{15}{-14}\right)\\= \frac{-3}{4}-\frac{15}{14}\\=\frac{-21}{28}-\frac{30}{28}\\=\frac{-21-30}{28}\\=\frac{-51}{28}\)
12. \(+\left(\frac{-10}{11}\right)+\left(\frac{15}{-8}\right)\\= \frac{-10}{11}-\frac{15}{8}\\=\frac{-80}{88}-\frac{165}{88}\\=\frac{-80-165}{88}\\=\frac{-245}{88}\)