Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-14}{11}\right)+\left(\frac{-7}{2}\right)\\= \frac{14}{11}-\frac{7}{2}\\=\frac{28}{22}-\frac{77}{22}\\=\frac{28-77}{22}\\=\frac{-49}{22}\)
2. \(-\left(\frac{-12}{-11}\right)-\left(\frac{10}{7}\right)\\= \frac{-12}{11}-\frac{10}{7}\\=\frac{-84}{77}-\frac{110}{77}\\=\frac{-84-110}{77}\\=\frac{-194}{77}\)
3. \(-\left(\frac{4}{-5}\right)-\left(\frac{13}{-11}\right)\\= \frac{4}{5}+\frac{13}{11}\\=\frac{44}{55}+\frac{65}{55}\\=\frac{44+65}{55}\\=\frac{109}{55}\)
4. \(-\left(\frac{3}{-2}\right)-\left(\frac{14}{9}\right)\\= \frac{3}{2}-\frac{14}{9}\\=\frac{27}{18}-\frac{28}{18}\\=\frac{27-28}{18}\\=\frac{-1}{18}\)
5. \(-\left(\frac{10}{3}\right)-\left(\frac{12}{-5}\right)\\= \frac{-10}{3}+\frac{12}{5}\\=\frac{-50}{15}+\frac{36}{15}\\=\frac{-50+36}{15}\\=\frac{-14}{15}\)
6. \(+\left(\frac{15}{-7}\right)-\left(\frac{-2}{3}\right)\\= \frac{-15}{7}+\frac{2}{3}\\=\frac{-45}{21}+\frac{14}{21}\\=\frac{-45+14}{21}\\=\frac{-31}{21}\)
7. \(+\left(\frac{-3}{-10}\right)-\left(\frac{-12}{-11}\right)\\= \frac{3}{10}-\frac{12}{11}\\=\frac{33}{110}-\frac{120}{110}\\=\frac{33-120}{110}\\=\frac{-87}{110}\)
8. \(-\left(\frac{-7}{-6}\right)+\left(\frac{2}{-3}\right)\\= \frac{-7}{6}-\frac{2}{3}\\=\frac{-7-2}{6}\\=\frac{-9}{6}\\=\frac{-3}{2}\)
9. \(+\left(\frac{5}{2}\right)-\left(\frac{15}{-7}\right)\\= \frac{5}{2}+\frac{15}{7}\\=\frac{35}{14}+\frac{30}{14}\\=\frac{35+30}{14}\\=\frac{65}{14}\)
10. \(-\left(\frac{12}{5}\right)-\left(\frac{-14}{13}\right)\\= \frac{-12}{5}+\frac{14}{13}\\=\frac{-156}{65}+\frac{70}{65}\\=\frac{-156+70}{65}\\=\frac{-86}{65}\)
11. \(-\left(\frac{11}{-10}\right)-\left(\frac{-5}{12}\right)\\= \frac{11}{10}+\frac{5}{12}\\=\frac{66}{60}+\frac{25}{60}\\=\frac{66+25}{60}\\=\frac{91}{60}\)
12. \(-\left(\frac{11}{6}\right)+\left(\frac{-5}{14}\right)\\= \frac{-11}{6}-\frac{5}{14}\\=\frac{-77}{42}-\frac{15}{42}\\=\frac{-77-15}{42}\\=\frac{-92}{42}\\=\frac{-46}{21}\)