Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{12}{11}\right)-\left(\frac{8}{7}\right)\\= \frac{-12}{11}-\frac{8}{7}\\=\frac{-84}{77}-\frac{88}{77}\\=\frac{-84-88}{77}\\=\frac{-172}{77}\)
2. \(-\left(\frac{-12}{-5}\right)-\left(\frac{11}{-9}\right)\\= \frac{-12}{5}+\frac{11}{9}\\=\frac{-108}{45}+\frac{55}{45}\\=\frac{-108+55}{45}\\=\frac{-53}{45}\)
3. \(-\left(\frac{13}{-5}\right)+\left(\frac{5}{-11}\right)\\= \frac{13}{5}-\frac{5}{11}\\=\frac{143}{55}-\frac{25}{55}\\=\frac{143-25}{55}\\=\frac{118}{55}\)
4. \(-\left(\frac{-5}{-2}\right)-\left(\frac{-5}{-8}\right)\\= \frac{-5}{2}-\frac{5}{8}\\=\frac{-20}{8}-\frac{5}{8}\\=\frac{-20-5}{8}\\=\frac{-25}{8}\)
5. \(-\left(\frac{-15}{-11}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-15}{11}+\frac{6}{11}\\=\frac{-15+6}{11}\\=\frac{-9}{11}\)
6. \(-\left(\frac{6}{11}\right)-\left(\frac{-6}{11}\right)\\= \frac{-6}{11}+\frac{6}{11}\\=\frac{-6+6}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
7. \(+\left(\frac{-9}{13}\right)+\left(\frac{4}{-9}\right)\\= \frac{-9}{13}-\frac{4}{9}\\=\frac{-81}{117}-\frac{52}{117}\\=\frac{-81-52}{117}\\=\frac{-133}{117}\)
8. \(+\left(\frac{15}{-11}\right)-\left(\frac{-8}{-7}\right)\\= \frac{-15}{11}-\frac{8}{7}\\=\frac{-105}{77}-\frac{88}{77}\\=\frac{-105-88}{77}\\=\frac{-193}{77}\)
9. \(+\left(\frac{-15}{-4}\right)+\left(\frac{-11}{14}\right)\\= \frac{15}{4}-\frac{11}{14}\\=\frac{105}{28}-\frac{22}{28}\\=\frac{105-22}{28}\\=\frac{83}{28}\)
10. \(-\left(\frac{-12}{-13}\right)-\left(\frac{15}{7}\right)\\= \frac{-12}{13}-\frac{15}{7}\\=\frac{-84}{91}-\frac{195}{91}\\=\frac{-84-195}{91}\\=\frac{-279}{91}\)
11. \(-\left(\frac{-7}{-4}\right)+\left(\frac{-3}{7}\right)\\= \frac{-7}{4}-\frac{3}{7}\\=\frac{-49}{28}-\frac{12}{28}\\=\frac{-49-12}{28}\\=\frac{-61}{28}\)
12. \(-\left(\frac{12}{11}\right)+\left(\frac{12}{-5}\right)\\= \frac{-12}{11}-\frac{12}{5}\\=\frac{-60}{55}-\frac{132}{55}\\=\frac{-60-132}{55}\\=\frac{-192}{55}\)