Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-10}{-13}\right)+\left(\frac{-2}{-11}\right)\\= \frac{10}{13}+\frac{2}{11}\\=\frac{110}{143}+\frac{26}{143}\\=\frac{110+26}{143}\\=\frac{136}{143}\)
2. \(-\left(\frac{-2}{-11}\right)+\left(\frac{-12}{5}\right)\\= \frac{-2}{11}-\frac{12}{5}\\=\frac{-10}{55}-\frac{132}{55}\\=\frac{-10-132}{55}\\=\frac{-142}{55}\)
3. \(+\left(\frac{-13}{2}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-13}{2}-\frac{6}{5}\\=\frac{-65}{10}-\frac{12}{10}\\=\frac{-65-12}{10}\\=\frac{-77}{10}\)
4. \(-\left(\frac{-8}{3}\right)+\left(\frac{-7}{-4}\right)\\= \frac{8}{3}+\frac{7}{4}\\=\frac{32}{12}+\frac{21}{12}\\=\frac{32+21}{12}\\=\frac{53}{12}\)
5. \(+\left(\frac{-9}{2}\right)+\left(\frac{-13}{4}\right)\\= \frac{-9}{2}-\frac{13}{4}\\=\frac{-18}{4}-\frac{13}{4}\\=\frac{-18-13}{4}\\=\frac{-31}{4}\)
6. \(-\left(\frac{-3}{2}\right)-\left(\frac{-7}{-5}\right)\\= \frac{3}{2}-\frac{7}{5}\\=\frac{15}{10}-\frac{14}{10}\\=\frac{15-14}{10}\\=\frac{1}{10}\)
7. \(+\left(\frac{5}{-7}\right)-\left(\frac{-12}{5}\right)\\= \frac{-5}{7}+\frac{12}{5}\\=\frac{-25}{35}+\frac{84}{35}\\=\frac{-25+84}{35}\\=\frac{59}{35}\)
8. \(-\left(\frac{-7}{-8}\right)-\left(\frac{-5}{-6}\right)\\= \frac{-7}{8}-\frac{5}{6}\\=\frac{-21}{24}-\frac{20}{24}\\=\frac{-21-20}{24}\\=\frac{-41}{24}\)
9. \(+\left(\frac{5}{11}\right)-\left(\frac{-4}{-9}\right)\\= \frac{5}{11}-\frac{4}{9}\\=\frac{45}{99}-\frac{44}{99}\\=\frac{45-44}{99}\\=\frac{1}{99}\)
10. \(+\left(\frac{10}{13}\right)-\left(\frac{9}{-13}\right)\\= \frac{10}{13}+\frac{9}{13}\\=\frac{10+9}{13}\\=\frac{19}{13}\)
11. \(+\left(\frac{13}{-14}\right)-\left(\frac{-11}{-4}\right)\\= \frac{-13}{14}-\frac{11}{4}\\=\frac{-26}{28}-\frac{77}{28}\\=\frac{-26-77}{28}\\=\frac{-103}{28}\)
12. \(+\left(\frac{10}{-7}\right)+\left(\frac{4}{-3}\right)\\= \frac{-10}{7}-\frac{4}{3}\\=\frac{-30}{21}-\frac{28}{21}\\=\frac{-30-28}{21}\\=\frac{-58}{21}\)