Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{13}{2}\right)+\left(\frac{12}{5}\right)\\= \frac{-13}{2}+\frac{12}{5}\\=\frac{-65}{10}+\frac{24}{10}\\=\frac{-65+24}{10}\\=\frac{-41}{10}\)
2. \(+\left(\frac{-14}{3}\right)+\left(\frac{3}{-10}\right)\\= \frac{-14}{3}-\frac{3}{10}\\=\frac{-140}{30}-\frac{9}{30}\\=\frac{-140-9}{30}\\=\frac{-149}{30}\)
3. \(+\left(\frac{-12}{-5}\right)+\left(\frac{9}{8}\right)\\= \frac{12}{5}+\frac{9}{8}\\=\frac{96}{40}+\frac{45}{40}\\=\frac{96+45}{40}\\=\frac{141}{40}\)
4. \(-\left(\frac{-3}{-2}\right)-\left(\frac{-2}{-7}\right)\\= \frac{-3}{2}-\frac{2}{7}\\=\frac{-21}{14}-\frac{4}{14}\\=\frac{-21-4}{14}\\=\frac{-25}{14}\)
5. \(-\left(\frac{-6}{-5}\right)-\left(\frac{3}{10}\right)\\= \frac{-6}{5}-\frac{3}{10}\\=\frac{-12}{10}-\frac{3}{10}\\=\frac{-12-3}{10}\\=\frac{-15}{10}\\=\frac{-3}{2}\)
6. \(-\left(\frac{-5}{-2}\right)+\left(\frac{5}{-13}\right)\\= \frac{-5}{2}-\frac{5}{13}\\=\frac{-65}{26}-\frac{10}{26}\\=\frac{-65-10}{26}\\=\frac{-75}{26}\)
7. \(-\left(\frac{-15}{11}\right)+\left(\frac{-5}{11}\right)\\= \frac{15}{11}-\frac{5}{11}\\=\frac{15-5}{11}\\=\frac{10}{11}\)
8. \(-\left(\frac{8}{-5}\right)-\left(\frac{-8}{7}\right)\\= \frac{8}{5}+\frac{8}{7}\\=\frac{56}{35}+\frac{40}{35}\\=\frac{56+40}{35}\\=\frac{96}{35}\)
9. \(-\left(\frac{-9}{10}\right)+\left(\frac{-3}{7}\right)\\= \frac{9}{10}-\frac{3}{7}\\=\frac{63}{70}-\frac{30}{70}\\=\frac{63-30}{70}\\=\frac{33}{70}\)
10. \(-\left(\frac{15}{14}\right)+\left(\frac{-2}{7}\right)\\= \frac{-15}{14}-\frac{2}{7}\\=\frac{-15-2}{14}\\=\frac{-17}{14}\)
11. \(+\left(\frac{-12}{-11}\right)-\left(\frac{7}{12}\right)\\= \frac{12}{11}-\frac{7}{12}\\=\frac{144}{132}-\frac{77}{132}\\=\frac{144-77}{132}\\=\frac{67}{132}\)
12. \(+\left(\frac{-4}{13}\right)-\left(\frac{-5}{-8}\right)\\= \frac{-4}{13}-\frac{5}{8}\\=\frac{-32}{104}-\frac{65}{104}\\=\frac{-32-65}{104}\\=\frac{-97}{104}\)