Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{13}\right)-\left(\frac{-7}{6}\right)\\= \frac{6}{13}+\frac{7}{6}\\=\frac{36}{78}+\frac{91}{78}\\=\frac{36+91}{78}\\=\frac{127}{78}\)
2. \(-\left(\frac{-12}{5}\right)+\left(\frac{-14}{-3}\right)\\= \frac{12}{5}+\frac{14}{3}\\=\frac{36}{15}+\frac{70}{15}\\=\frac{36+70}{15}\\=\frac{106}{15}\)
3. \(-\left(\frac{-15}{-2}\right)+\left(\frac{3}{13}\right)\\= \frac{-15}{2}+\frac{3}{13}\\=\frac{-195}{26}+\frac{6}{26}\\=\frac{-195+6}{26}\\=\frac{-189}{26}\)
4. \(+\left(\frac{-6}{7}\right)-\left(\frac{4}{-9}\right)\\= \frac{-6}{7}+\frac{4}{9}\\=\frac{-54}{63}+\frac{28}{63}\\=\frac{-54+28}{63}\\=\frac{-26}{63}\)
5. \(+\left(\frac{9}{-4}\right)+\left(\frac{-14}{11}\right)\\= \frac{-9}{4}-\frac{14}{11}\\=\frac{-99}{44}-\frac{56}{44}\\=\frac{-99-56}{44}\\=\frac{-155}{44}\)
6. \(+\left(\frac{-3}{7}\right)+\left(\frac{5}{-12}\right)\\= \frac{-3}{7}-\frac{5}{12}\\=\frac{-36}{84}-\frac{35}{84}\\=\frac{-36-35}{84}\\=\frac{-71}{84}\)
7. \(+\left(\frac{11}{10}\right)+\left(\frac{5}{-6}\right)\\= \frac{11}{10}-\frac{5}{6}\\=\frac{33}{30}-\frac{25}{30}\\=\frac{33-25}{30}\\=\frac{8}{30}\\=\frac{4}{15}\)
8. \(-\left(\frac{-14}{-9}\right)+\left(\frac{-12}{7}\right)\\= \frac{-14}{9}-\frac{12}{7}\\=\frac{-98}{63}-\frac{108}{63}\\=\frac{-98-108}{63}\\=\frac{-206}{63}\)
9. \(+\left(\frac{-2}{-3}\right)-\left(\frac{-10}{-13}\right)\\= \frac{2}{3}-\frac{10}{13}\\=\frac{26}{39}-\frac{30}{39}\\=\frac{26-30}{39}\\=\frac{-4}{39}\)
10. \(-\left(\frac{-6}{5}\right)+\left(\frac{9}{2}\right)\\= \frac{6}{5}+\frac{9}{2}\\=\frac{12}{10}+\frac{45}{10}\\=\frac{12+45}{10}\\=\frac{57}{10}\)
11. \(-\left(\frac{2}{11}\right)-\left(\frac{9}{-5}\right)\\= \frac{-2}{11}+\frac{9}{5}\\=\frac{-10}{55}+\frac{99}{55}\\=\frac{-10+99}{55}\\=\frac{89}{55}\)
12. \(+\left(\frac{-5}{-3}\right)+\left(\frac{13}{-14}\right)\\= \frac{5}{3}-\frac{13}{14}\\=\frac{70}{42}-\frac{39}{42}\\=\frac{70-39}{42}\\=\frac{31}{42}\)