Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-13}{-5}\right)-\left(\frac{5}{9}\right)\\= \frac{13}{5}-\frac{5}{9}\\=\frac{117}{45}-\frac{25}{45}\\=\frac{117-25}{45}\\=\frac{92}{45}\)
2. \(-\left(\frac{6}{-7}\right)+\left(\frac{2}{9}\right)\\= \frac{6}{7}+\frac{2}{9}\\=\frac{54}{63}+\frac{14}{63}\\=\frac{54+14}{63}\\=\frac{68}{63}\)
3. \(+\left(\frac{-10}{13}\right)-\left(\frac{7}{-10}\right)\\= \frac{-10}{13}+\frac{7}{10}\\=\frac{-100}{130}+\frac{91}{130}\\=\frac{-100+91}{130}\\=\frac{-9}{130}\)
4. \(+\left(\frac{-11}{12}\right)-\left(\frac{7}{-12}\right)\\= \frac{-11}{12}+\frac{7}{12}\\=\frac{-11+7}{12}\\=\frac{-4}{12}\\=\frac{-1}{3}\)
5. \(-\left(\frac{-14}{11}\right)+\left(\frac{10}{-9}\right)\\= \frac{14}{11}-\frac{10}{9}\\=\frac{126}{99}-\frac{110}{99}\\=\frac{126-110}{99}\\=\frac{16}{99}\)
6. \(+\left(\frac{-10}{-7}\right)-\left(\frac{3}{10}\right)\\= \frac{10}{7}-\frac{3}{10}\\=\frac{100}{70}-\frac{21}{70}\\=\frac{100-21}{70}\\=\frac{79}{70}\)
7. \(-\left(\frac{-4}{-5}\right)+\left(\frac{14}{-9}\right)\\= \frac{-4}{5}-\frac{14}{9}\\=\frac{-36}{45}-\frac{70}{45}\\=\frac{-36-70}{45}\\=\frac{-106}{45}\)
8. \(-\left(\frac{-4}{9}\right)+\left(\frac{4}{7}\right)\\= \frac{4}{9}+\frac{4}{7}\\=\frac{28}{63}+\frac{36}{63}\\=\frac{28+36}{63}\\=\frac{64}{63}\)
9. \(-\left(\frac{4}{7}\right)+\left(\frac{7}{12}\right)\\= \frac{-4}{7}+\frac{7}{12}\\=\frac{-48}{84}+\frac{49}{84}\\=\frac{-48+49}{84}\\=\frac{1}{84}\)
10. \(+\left(\frac{-9}{14}\right)+\left(\frac{-12}{-11}\right)\\= \frac{-9}{14}+\frac{12}{11}\\=\frac{-99}{154}+\frac{168}{154}\\=\frac{-99+168}{154}\\=\frac{69}{154}\)
11. \(+\left(\frac{9}{4}\right)+\left(\frac{-9}{-4}\right)\\= \frac{9}{4}+\frac{9}{4}\\=\frac{9+9}{4}\\=\frac{18}{4}\\=\frac{9}{2}\)
12. \(+\left(\frac{2}{13}\right)-\left(\frac{-5}{-8}\right)\\= \frac{2}{13}-\frac{5}{8}\\=\frac{16}{104}-\frac{65}{104}\\=\frac{16-65}{104}\\=\frac{-49}{104}\)