Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{-7}\right)+\left(\frac{-6}{5}\right)\\= \frac{-8}{7}-\frac{6}{5}\\=\frac{-40}{35}-\frac{42}{35}\\=\frac{-40-42}{35}\\=\frac{-82}{35}\)
2. \(+\left(\frac{15}{7}\right)+\left(\frac{-6}{-11}\right)\\= \frac{15}{7}+\frac{6}{11}\\=\frac{165}{77}+\frac{42}{77}\\=\frac{165+42}{77}\\=\frac{207}{77}\)
3. \(+\left(\frac{-11}{-2}\right)-\left(\frac{4}{3}\right)\\= \frac{11}{2}-\frac{4}{3}\\=\frac{33}{6}-\frac{8}{6}\\=\frac{33-8}{6}\\=\frac{25}{6}\)
4. \(+\left(\frac{10}{-9}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-10}{9}-\frac{4}{3}\\=\frac{-10-4}{9}\\=\frac{-14}{9}\)
5. \(+\left(\frac{-8}{5}\right)+\left(\frac{-11}{-3}\right)\\= \frac{-8}{5}+\frac{11}{3}\\=\frac{-24}{15}+\frac{55}{15}\\=\frac{-24+55}{15}\\=\frac{31}{15}\)
6. \(-\left(\frac{11}{7}\right)+\left(\frac{-13}{-14}\right)\\= \frac{-11}{7}+\frac{13}{14}\\=\frac{-22}{14}+\frac{13}{14}\\=\frac{-22+13}{14}\\=\frac{-9}{14}\)
7. \(+\left(\frac{-9}{13}\right)-\left(\frac{3}{-4}\right)\\= \frac{-9}{13}+\frac{3}{4}\\=\frac{-36}{52}+\frac{39}{52}\\=\frac{-36+39}{52}\\=\frac{3}{52}\)
8. \(+\left(\frac{-14}{-3}\right)+\left(\frac{-12}{-11}\right)\\= \frac{14}{3}+\frac{12}{11}\\=\frac{154}{33}+\frac{36}{33}\\=\frac{154+36}{33}\\=\frac{190}{33}\)
9. \(-\left(\frac{-11}{-2}\right)-\left(\frac{-8}{-3}\right)\\= \frac{-11}{2}-\frac{8}{3}\\=\frac{-33}{6}-\frac{16}{6}\\=\frac{-33-16}{6}\\=\frac{-49}{6}\)
10. \(-\left(\frac{-15}{-11}\right)+\left(\frac{-10}{-3}\right)\\= \frac{-15}{11}+\frac{10}{3}\\=\frac{-45}{33}+\frac{110}{33}\\=\frac{-45+110}{33}\\=\frac{65}{33}\)
11. \(-\left(\frac{12}{11}\right)+\left(\frac{-10}{7}\right)\\= \frac{-12}{11}-\frac{10}{7}\\=\frac{-84}{77}-\frac{110}{77}\\=\frac{-84-110}{77}\\=\frac{-194}{77}\)
12. \(+\left(\frac{4}{-5}\right)-\left(\frac{8}{-11}\right)\\= \frac{-4}{5}+\frac{8}{11}\\=\frac{-44}{55}+\frac{40}{55}\\=\frac{-44+40}{55}\\=\frac{-4}{55}\)