Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-9}{-5}\right)-\left(\frac{11}{-6}\right)\\= \frac{-9}{5}+\frac{11}{6}\\=\frac{-54}{30}+\frac{55}{30}\\=\frac{-54+55}{30}\\=\frac{1}{30}\)
2. \(-\left(\frac{12}{5}\right)-\left(\frac{-15}{4}\right)\\= \frac{-12}{5}+\frac{15}{4}\\=\frac{-48}{20}+\frac{75}{20}\\=\frac{-48+75}{20}\\=\frac{27}{20}\)
3. \(+\left(\frac{5}{11}\right)+\left(\frac{9}{8}\right)\\= \frac{5}{11}+\frac{9}{8}\\=\frac{40}{88}+\frac{99}{88}\\=\frac{40+99}{88}\\=\frac{139}{88}\)
4. \(+\left(\frac{-4}{7}\right)+\left(\frac{6}{-5}\right)\\= \frac{-4}{7}-\frac{6}{5}\\=\frac{-20}{35}-\frac{42}{35}\\=\frac{-20-42}{35}\\=\frac{-62}{35}\)
5. \(+\left(\frac{14}{9}\right)+\left(\frac{3}{2}\right)\\= \frac{14}{9}+\frac{3}{2}\\=\frac{28}{18}+\frac{27}{18}\\=\frac{28+27}{18}\\=\frac{55}{18}\)
6. \(-\left(\frac{13}{-11}\right)-\left(\frac{4}{-3}\right)\\= \frac{13}{11}+\frac{4}{3}\\=\frac{39}{33}+\frac{44}{33}\\=\frac{39+44}{33}\\=\frac{83}{33}\)
7. \(-\left(\frac{-13}{10}\right)-\left(\frac{7}{-9}\right)\\= \frac{13}{10}+\frac{7}{9}\\=\frac{117}{90}+\frac{70}{90}\\=\frac{117+70}{90}\\=\frac{187}{90}\)
8. \(+\left(\frac{15}{-2}\right)-\left(\frac{14}{-13}\right)\\= \frac{-15}{2}+\frac{14}{13}\\=\frac{-195}{26}+\frac{28}{26}\\=\frac{-195+28}{26}\\=\frac{-167}{26}\)
9. \(+\left(\frac{-10}{-13}\right)-\left(\frac{7}{2}\right)\\= \frac{10}{13}-\frac{7}{2}\\=\frac{20}{26}-\frac{91}{26}\\=\frac{20-91}{26}\\=\frac{-71}{26}\)
10. \(+\left(\frac{8}{7}\right)+\left(\frac{-15}{2}\right)\\= \frac{8}{7}-\frac{15}{2}\\=\frac{16}{14}-\frac{105}{14}\\=\frac{16-105}{14}\\=\frac{-89}{14}\)
11. \(-\left(\frac{6}{5}\right)-\left(\frac{-13}{14}\right)\\= \frac{-6}{5}+\frac{13}{14}\\=\frac{-84}{70}+\frac{65}{70}\\=\frac{-84+65}{70}\\=\frac{-19}{70}\)
12. \(+\left(\frac{4}{-3}\right)+\left(\frac{10}{7}\right)\\= \frac{-4}{3}+\frac{10}{7}\\=\frac{-28}{21}+\frac{30}{21}\\=\frac{-28+30}{21}\\=\frac{2}{21}\)