Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{9}{7}\right)+\left(\frac{-14}{11}\right)\\= \frac{9}{7}-\frac{14}{11}\\=\frac{99}{77}-\frac{98}{77}\\=\frac{99-98}{77}\\=\frac{1}{77}\)
2. \(+\left(\frac{4}{-7}\right)-\left(\frac{-9}{4}\right)\\= \frac{-4}{7}+\frac{9}{4}\\=\frac{-16}{28}+\frac{63}{28}\\=\frac{-16+63}{28}\\=\frac{47}{28}\)
3. \(-\left(\frac{4}{9}\right)+\left(\frac{9}{-4}\right)\\= \frac{-4}{9}-\frac{9}{4}\\=\frac{-16}{36}-\frac{81}{36}\\=\frac{-16-81}{36}\\=\frac{-97}{36}\)
4. \(-\left(\frac{7}{5}\right)-\left(\frac{2}{3}\right)\\= \frac{-7}{5}-\frac{2}{3}\\=\frac{-21}{15}-\frac{10}{15}\\=\frac{-21-10}{15}\\=\frac{-31}{15}\)
5. \(-\left(\frac{-9}{-7}\right)+\left(\frac{-7}{9}\right)\\= \frac{-9}{7}-\frac{7}{9}\\=\frac{-81}{63}-\frac{49}{63}\\=\frac{-81-49}{63}\\=\frac{-130}{63}\)
6. \(-\left(\frac{6}{-7}\right)-\left(\frac{-5}{3}\right)\\= \frac{6}{7}+\frac{5}{3}\\=\frac{18}{21}+\frac{35}{21}\\=\frac{18+35}{21}\\=\frac{53}{21}\)
7. \(+\left(\frac{-12}{11}\right)+\left(\frac{-10}{-7}\right)\\= \frac{-12}{11}+\frac{10}{7}\\=\frac{-84}{77}+\frac{110}{77}\\=\frac{-84+110}{77}\\=\frac{26}{77}\)
8. \(-\left(\frac{5}{12}\right)+\left(\frac{15}{7}\right)\\= \frac{-5}{12}+\frac{15}{7}\\=\frac{-35}{84}+\frac{180}{84}\\=\frac{-35+180}{84}\\=\frac{145}{84}\)
9. \(-\left(\frac{-12}{-11}\right)-\left(\frac{-5}{-3}\right)\\= \frac{-12}{11}-\frac{5}{3}\\=\frac{-36}{33}-\frac{55}{33}\\=\frac{-36-55}{33}\\=\frac{-91}{33}\)
10. \(-\left(\frac{-14}{-9}\right)-\left(\frac{4}{5}\right)\\= \frac{-14}{9}-\frac{4}{5}\\=\frac{-70}{45}-\frac{36}{45}\\=\frac{-70-36}{45}\\=\frac{-106}{45}\)
11. \(-\left(\frac{6}{-7}\right)+\left(\frac{-8}{9}\right)\\= \frac{6}{7}-\frac{8}{9}\\=\frac{54}{63}-\frac{56}{63}\\=\frac{54-56}{63}\\=\frac{-2}{63}\)
12. \(+\left(\frac{-5}{-4}\right)+\left(\frac{-10}{7}\right)\\= \frac{5}{4}-\frac{10}{7}\\=\frac{35}{28}-\frac{40}{28}\\=\frac{35-40}{28}\\=\frac{-5}{28}\)