Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-11}{2}\right)+\left(\frac{-13}{-14}\right)\\= \frac{-11}{2}+\frac{13}{14}\\=\frac{-77}{14}+\frac{13}{14}\\=\frac{-77+13}{14}\\=\frac{-64}{14}\\=\frac{-32}{7}\)
2. \(+\left(\frac{-2}{13}\right)-\left(\frac{-9}{14}\right)\\= \frac{-2}{13}+\frac{9}{14}\\=\frac{-28}{182}+\frac{117}{182}\\=\frac{-28+117}{182}\\=\frac{89}{182}\)
3. \(-\left(\frac{8}{-7}\right)-\left(\frac{-14}{3}\right)\\= \frac{8}{7}+\frac{14}{3}\\=\frac{24}{21}+\frac{98}{21}\\=\frac{24+98}{21}\\=\frac{122}{21}\)
4. \(-\left(\frac{11}{-4}\right)-\left(\frac{-5}{-11}\right)\\= \frac{11}{4}-\frac{5}{11}\\=\frac{121}{44}-\frac{20}{44}\\=\frac{121-20}{44}\\=\frac{101}{44}\)
5. \(+\left(\frac{-4}{3}\right)-\left(\frac{10}{-3}\right)\\= \frac{-4}{3}+\frac{10}{3}\\=\frac{-4+10}{3}\\=\frac{6}{3}\\=\frac{2}{1}\)
6. \(-\left(\frac{7}{6}\right)+\left(\frac{-9}{-2}\right)\\= \frac{-7}{6}+\frac{9}{2}\\=\frac{-7+9}{6}\\=\frac{2}{6}\\=\frac{1}{3}\)
7. \(+\left(\frac{-2}{3}\right)-\left(\frac{-9}{-4}\right)\\= \frac{-2}{3}-\frac{9}{4}\\=\frac{-8}{12}-\frac{27}{12}\\=\frac{-8-27}{12}\\=\frac{-35}{12}\)
8. \(-\left(\frac{-14}{-3}\right)-\left(\frac{-7}{-4}\right)\\= \frac{-14}{3}-\frac{7}{4}\\=\frac{-56}{12}-\frac{21}{12}\\=\frac{-56-21}{12}\\=\frac{-77}{12}\)
9. \(+\left(\frac{12}{-5}\right)-\left(\frac{3}{2}\right)\\= \frac{-12}{5}-\frac{3}{2}\\=\frac{-24}{10}-\frac{15}{10}\\=\frac{-24-15}{10}\\=\frac{-39}{10}\)
10. \(+\left(\frac{-15}{-8}\right)+\left(\frac{5}{7}\right)\\= \frac{15}{8}+\frac{5}{7}\\=\frac{105}{56}+\frac{40}{56}\\=\frac{105+40}{56}\\=\frac{145}{56}\)
11. \(+\left(\frac{-2}{3}\right)-\left(\frac{10}{13}\right)\\= \frac{-2}{3}-\frac{10}{13}\\=\frac{-26}{39}-\frac{30}{39}\\=\frac{-26-30}{39}\\=\frac{-56}{39}\)
12. \(+\left(\frac{15}{-2}\right)-\left(\frac{-6}{11}\right)\\= \frac{-15}{2}+\frac{6}{11}\\=\frac{-165}{22}+\frac{12}{22}\\=\frac{-165+12}{22}\\=\frac{-153}{22}\)