Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-13}{-8}\right)-\left(\frac{-6}{-13}\right)\\= \frac{13}{8}-\frac{6}{13}\\=\frac{169}{104}-\frac{48}{104}\\=\frac{169-48}{104}\\=\frac{121}{104}\)
2. \(-\left(\frac{-8}{-13}\right)+\left(\frac{8}{-13}\right)\\= \frac{-8}{13}-\frac{8}{13}\\=\frac{-8-8}{13}\\=\frac{-16}{13}\)
3. \(+\left(\frac{4}{3}\right)+\left(\frac{-12}{5}\right)\\= \frac{4}{3}-\frac{12}{5}\\=\frac{20}{15}-\frac{36}{15}\\=\frac{20-36}{15}\\=\frac{-16}{15}\)
4. \(+\left(\frac{-3}{13}\right)+\left(\frac{15}{-2}\right)\\= \frac{-3}{13}-\frac{15}{2}\\=\frac{-6}{26}-\frac{195}{26}\\=\frac{-6-195}{26}\\=\frac{-201}{26}\)
5. \(-\left(\frac{9}{14}\right)-\left(\frac{14}{9}\right)\\= \frac{-9}{14}-\frac{14}{9}\\=\frac{-81}{126}-\frac{196}{126}\\=\frac{-81-196}{126}\\=\frac{-277}{126}\)
6. \(+\left(\frac{8}{-3}\right)-\left(\frac{12}{5}\right)\\= \frac{-8}{3}-\frac{12}{5}\\=\frac{-40}{15}-\frac{36}{15}\\=\frac{-40-36}{15}\\=\frac{-76}{15}\)
7. \(-\left(\frac{4}{-9}\right)-\left(\frac{3}{2}\right)\\= \frac{4}{9}-\frac{3}{2}\\=\frac{8}{18}-\frac{27}{18}\\=\frac{8-27}{18}\\=\frac{-19}{18}\)
8. \(+\left(\frac{14}{-11}\right)+\left(\frac{2}{9}\right)\\= \frac{-14}{11}+\frac{2}{9}\\=\frac{-126}{99}+\frac{22}{99}\\=\frac{-126+22}{99}\\=\frac{-104}{99}\)
9. \(+\left(\frac{-13}{-2}\right)+\left(\frac{-8}{-9}\right)\\= \frac{13}{2}+\frac{8}{9}\\=\frac{117}{18}+\frac{16}{18}\\=\frac{117+16}{18}\\=\frac{133}{18}\)
10. \(+\left(\frac{11}{7}\right)+\left(\frac{-12}{13}\right)\\= \frac{11}{7}-\frac{12}{13}\\=\frac{143}{91}-\frac{84}{91}\\=\frac{143-84}{91}\\=\frac{59}{91}\)
11. \(-\left(\frac{5}{-6}\right)+\left(\frac{-9}{-13}\right)\\= \frac{5}{6}+\frac{9}{13}\\=\frac{65}{78}+\frac{54}{78}\\=\frac{65+54}{78}\\=\frac{119}{78}\)
12. \(-\left(\frac{-13}{-2}\right)-\left(\frac{-5}{3}\right)\\= \frac{-13}{2}+\frac{5}{3}\\=\frac{-39}{6}+\frac{10}{6}\\=\frac{-39+10}{6}\\=\frac{-29}{6}\)