Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{12}{-5}\right)+\left(\frac{-10}{-7}\right)\\= \frac{12}{5}+\frac{10}{7}\\=\frac{84}{35}+\frac{50}{35}\\=\frac{84+50}{35}\\=\frac{134}{35}\)
2. \(+\left(\frac{-13}{14}\right)-\left(\frac{5}{-11}\right)\\= \frac{-13}{14}+\frac{5}{11}\\=\frac{-143}{154}+\frac{70}{154}\\=\frac{-143+70}{154}\\=\frac{-73}{154}\)
3. \(+\left(\frac{4}{-11}\right)+\left(\frac{-9}{11}\right)\\= \frac{-4}{11}-\frac{9}{11}\\=\frac{-4-9}{11}\\=\frac{-13}{11}\)
4. \(-\left(\frac{-13}{-2}\right)-\left(\frac{-4}{5}\right)\\= \frac{-13}{2}+\frac{4}{5}\\=\frac{-65}{10}+\frac{8}{10}\\=\frac{-65+8}{10}\\=\frac{-57}{10}\)
5. \(+\left(\frac{-12}{-5}\right)-\left(\frac{-10}{3}\right)\\= \frac{12}{5}+\frac{10}{3}\\=\frac{36}{15}+\frac{50}{15}\\=\frac{36+50}{15}\\=\frac{86}{15}\)
6. \(+\left(\frac{12}{-5}\right)-\left(\frac{-4}{13}\right)\\= \frac{-12}{5}+\frac{4}{13}\\=\frac{-156}{65}+\frac{20}{65}\\=\frac{-156+20}{65}\\=\frac{-136}{65}\)
7. \(-\left(\frac{-12}{5}\right)-\left(\frac{-5}{3}\right)\\= \frac{12}{5}+\frac{5}{3}\\=\frac{36}{15}+\frac{25}{15}\\=\frac{36+25}{15}\\=\frac{61}{15}\)
8. \(-\left(\frac{-3}{-14}\right)+\left(\frac{-11}{4}\right)\\= \frac{-3}{14}-\frac{11}{4}\\=\frac{-6}{28}-\frac{77}{28}\\=\frac{-6-77}{28}\\=\frac{-83}{28}\)
9. \(-\left(\frac{-9}{-11}\right)+\left(\frac{-7}{-2}\right)\\= \frac{-9}{11}+\frac{7}{2}\\=\frac{-18}{22}+\frac{77}{22}\\=\frac{-18+77}{22}\\=\frac{59}{22}\)
10. \(-\left(\frac{-9}{-2}\right)+\left(\frac{2}{-3}\right)\\= \frac{-9}{2}-\frac{2}{3}\\=\frac{-27}{6}-\frac{4}{6}\\=\frac{-27-4}{6}\\=\frac{-31}{6}\)
11. \(-\left(\frac{-6}{-5}\right)+\left(\frac{12}{13}\right)\\= \frac{-6}{5}+\frac{12}{13}\\=\frac{-78}{65}+\frac{60}{65}\\=\frac{-78+60}{65}\\=\frac{-18}{65}\)
12. \(+\left(\frac{2}{5}\right)+\left(\frac{-7}{12}\right)\\= \frac{2}{5}-\frac{7}{12}\\=\frac{24}{60}-\frac{35}{60}\\=\frac{24-35}{60}\\=\frac{-11}{60}\)