Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{-4}\right)-\left(\frac{3}{-2}\right)\\= \frac{3}{4}+\frac{3}{2}\\=\frac{3+3}{4}\\=\frac{6}{4}\\=\frac{3}{2}\)
2. \(-\left(\frac{-8}{-3}\right)-\left(\frac{6}{-5}\right)\\= \frac{-8}{3}+\frac{6}{5}\\=\frac{-40}{15}+\frac{18}{15}\\=\frac{-40+18}{15}\\=\frac{-22}{15}\)
3. \(-\left(\frac{14}{-11}\right)-\left(\frac{12}{-7}\right)\\= \frac{14}{11}+\frac{12}{7}\\=\frac{98}{77}+\frac{132}{77}\\=\frac{98+132}{77}\\=\frac{230}{77}\)
4. \(+\left(\frac{15}{-7}\right)-\left(\frac{6}{5}\right)\\= \frac{-15}{7}-\frac{6}{5}\\=\frac{-75}{35}-\frac{42}{35}\\=\frac{-75-42}{35}\\=\frac{-117}{35}\)
5. \(-\left(\frac{-6}{-5}\right)+\left(\frac{15}{-2}\right)\\= \frac{-6}{5}-\frac{15}{2}\\=\frac{-12}{10}-\frac{75}{10}\\=\frac{-12-75}{10}\\=\frac{-87}{10}\)
6. \(+\left(\frac{-12}{5}\right)-\left(\frac{-13}{-7}\right)\\= \frac{-12}{5}-\frac{13}{7}\\=\frac{-84}{35}-\frac{65}{35}\\=\frac{-84-65}{35}\\=\frac{-149}{35}\)
7. \(+\left(\frac{-9}{2}\right)+\left(\frac{-7}{-12}\right)\\= \frac{-9}{2}+\frac{7}{12}\\=\frac{-54}{12}+\frac{7}{12}\\=\frac{-54+7}{12}\\=\frac{-47}{12}\)
8. \(+\left(\frac{-3}{13}\right)+\left(\frac{7}{-2}\right)\\= \frac{-3}{13}-\frac{7}{2}\\=\frac{-6}{26}-\frac{91}{26}\\=\frac{-6-91}{26}\\=\frac{-97}{26}\)
9. \(+\left(\frac{3}{-13}\right)+\left(\frac{13}{-2}\right)\\= \frac{-3}{13}-\frac{13}{2}\\=\frac{-6}{26}-\frac{169}{26}\\=\frac{-6-169}{26}\\=\frac{-175}{26}\)
10. \(+\left(\frac{14}{9}\right)+\left(\frac{6}{13}\right)\\= \frac{14}{9}+\frac{6}{13}\\=\frac{182}{117}+\frac{54}{117}\\=\frac{182+54}{117}\\=\frac{236}{117}\)
11. \(+\left(\frac{8}{7}\right)-\left(\frac{5}{-2}\right)\\= \frac{8}{7}+\frac{5}{2}\\=\frac{16}{14}+\frac{35}{14}\\=\frac{16+35}{14}\\=\frac{51}{14}\)
12. \(+\left(\frac{13}{7}\right)+\left(\frac{-2}{3}\right)\\= \frac{13}{7}-\frac{2}{3}\\=\frac{39}{21}-\frac{14}{21}\\=\frac{39-14}{21}\\=\frac{25}{21}\)