Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{11}\right)-\left(\frac{-12}{-11}\right)\\= \frac{-14}{11}-\frac{12}{11}\\=\frac{-14-12}{11}\\=\frac{-26}{11}\)
2. \(-\left(\frac{-5}{14}\right)+\left(\frac{-4}{13}\right)\\= \frac{5}{14}-\frac{4}{13}\\=\frac{65}{182}-\frac{56}{182}\\=\frac{65-56}{182}\\=\frac{9}{182}\)
3. \(-\left(\frac{12}{-5}\right)+\left(\frac{-6}{11}\right)\\= \frac{12}{5}-\frac{6}{11}\\=\frac{132}{55}-\frac{30}{55}\\=\frac{132-30}{55}\\=\frac{102}{55}\)
4. \(+\left(\frac{5}{2}\right)+\left(\frac{13}{2}\right)\\= \frac{5}{2}+\frac{13}{2}\\=\frac{5+13}{2}\\=\frac{18}{2}\\=\frac{9}{1}\)
5. \(-\left(\frac{-9}{-5}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-9}{5}-\frac{13}{2}\\=\frac{-18}{10}-\frac{65}{10}\\=\frac{-18-65}{10}\\=\frac{-83}{10}\)
6. \(-\left(\frac{9}{14}\right)-\left(\frac{10}{3}\right)\\= \frac{-9}{14}-\frac{10}{3}\\=\frac{-27}{42}-\frac{140}{42}\\=\frac{-27-140}{42}\\=\frac{-167}{42}\)
7. \(+\left(\frac{-6}{-5}\right)+\left(\frac{9}{-14}\right)\\= \frac{6}{5}-\frac{9}{14}\\=\frac{84}{70}-\frac{45}{70}\\=\frac{84-45}{70}\\=\frac{39}{70}\)
8. \(-\left(\frac{-2}{-3}\right)-\left(\frac{5}{4}\right)\\= \frac{-2}{3}-\frac{5}{4}\\=\frac{-8}{12}-\frac{15}{12}\\=\frac{-8-15}{12}\\=\frac{-23}{12}\)
9. \(+\left(\frac{11}{-7}\right)+\left(\frac{2}{3}\right)\\= \frac{-11}{7}+\frac{2}{3}\\=\frac{-33}{21}+\frac{14}{21}\\=\frac{-33+14}{21}\\=\frac{-19}{21}\)
10. \(+\left(\frac{2}{3}\right)-\left(\frac{-5}{-3}\right)\\= \frac{2}{3}-\frac{5}{3}\\=\frac{2-5}{3}\\=\frac{-3}{3}\\=\frac{-1}{1}\)
11. \(+\left(\frac{2}{-9}\right)+\left(\frac{-15}{11}\right)\\= \frac{-2}{9}-\frac{15}{11}\\=\frac{-22}{99}-\frac{135}{99}\\=\frac{-22-135}{99}\\=\frac{-157}{99}\)
12. \(-\left(\frac{14}{9}\right)+\left(\frac{3}{14}\right)\\= \frac{-14}{9}+\frac{3}{14}\\=\frac{-196}{126}+\frac{27}{126}\\=\frac{-196+27}{126}\\=\frac{-169}{126}\)