Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{-9}\right)-\left(\frac{5}{-13}\right)\\= \frac{5}{9}+\frac{5}{13}\\=\frac{65}{117}+\frac{45}{117}\\=\frac{65+45}{117}\\=\frac{110}{117}\)
2. \(-\left(\frac{-11}{-4}\right)+\left(\frac{-3}{2}\right)\\= \frac{-11}{4}-\frac{3}{2}\\=\frac{-11-3}{4}\\=\frac{-14}{4}\\=\frac{-7}{2}\)
3. \(-\left(\frac{6}{-13}\right)-\left(\frac{7}{-9}\right)\\= \frac{6}{13}+\frac{7}{9}\\=\frac{54}{117}+\frac{91}{117}\\=\frac{54+91}{117}\\=\frac{145}{117}\)
4. \(-\left(\frac{6}{-5}\right)-\left(\frac{10}{-7}\right)\\= \frac{6}{5}+\frac{10}{7}\\=\frac{42}{35}+\frac{50}{35}\\=\frac{42+50}{35}\\=\frac{92}{35}\)
5. \(+\left(\frac{6}{-11}\right)-\left(\frac{-10}{3}\right)\\= \frac{-6}{11}+\frac{10}{3}\\=\frac{-18}{33}+\frac{110}{33}\\=\frac{-18+110}{33}\\=\frac{92}{33}\)
6. \(+\left(\frac{15}{-11}\right)+\left(\frac{-13}{6}\right)\\= \frac{-15}{11}-\frac{13}{6}\\=\frac{-90}{66}-\frac{143}{66}\\=\frac{-90-143}{66}\\=\frac{-233}{66}\)
7. \(-\left(\frac{8}{7}\right)-\left(\frac{7}{10}\right)\\= \frac{-8}{7}-\frac{7}{10}\\=\frac{-80}{70}-\frac{49}{70}\\=\frac{-80-49}{70}\\=\frac{-129}{70}\)
8. \(-\left(\frac{-14}{-11}\right)+\left(\frac{12}{-5}\right)\\= \frac{-14}{11}-\frac{12}{5}\\=\frac{-70}{55}-\frac{132}{55}\\=\frac{-70-132}{55}\\=\frac{-202}{55}\)
9. \(+\left(\frac{-4}{7}\right)-\left(\frac{-8}{-7}\right)\\= \frac{-4}{7}-\frac{8}{7}\\=\frac{-4-8}{7}\\=\frac{-12}{7}\)
10. \(-\left(\frac{6}{7}\right)+\left(\frac{7}{-6}\right)\\= \frac{-6}{7}-\frac{7}{6}\\=\frac{-36}{42}-\frac{49}{42}\\=\frac{-36-49}{42}\\=\frac{-85}{42}\)
11. \(+\left(\frac{5}{11}\right)+\left(\frac{-13}{-8}\right)\\= \frac{5}{11}+\frac{13}{8}\\=\frac{40}{88}+\frac{143}{88}\\=\frac{40+143}{88}\\=\frac{183}{88}\)
12. \(-\left(\frac{-6}{7}\right)-\left(\frac{8}{-3}\right)\\= \frac{6}{7}+\frac{8}{3}\\=\frac{18}{21}+\frac{56}{21}\\=\frac{18+56}{21}\\=\frac{74}{21}\)