Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{13}\right)-\left(\frac{15}{-7}\right)\\= \frac{-7}{13}+\frac{15}{7}\\=\frac{-49}{91}+\frac{195}{91}\\=\frac{-49+195}{91}\\=\frac{146}{91}\)
2. \(+\left(\frac{6}{-13}\right)-\left(\frac{14}{9}\right)\\= \frac{-6}{13}-\frac{14}{9}\\=\frac{-54}{117}-\frac{182}{117}\\=\frac{-54-182}{117}\\=\frac{-236}{117}\)
3. \(+\left(\frac{-2}{5}\right)+\left(\frac{10}{-13}\right)\\= \frac{-2}{5}-\frac{10}{13}\\=\frac{-26}{65}-\frac{50}{65}\\=\frac{-26-50}{65}\\=\frac{-76}{65}\)
4. \(+\left(\frac{-2}{3}\right)-\left(\frac{-3}{-2}\right)\\= \frac{-2}{3}-\frac{3}{2}\\=\frac{-4}{6}-\frac{9}{6}\\=\frac{-4-9}{6}\\=\frac{-13}{6}\)
5. \(+\left(\frac{2}{-3}\right)+\left(\frac{8}{-13}\right)\\= \frac{-2}{3}-\frac{8}{13}\\=\frac{-26}{39}-\frac{24}{39}\\=\frac{-26-24}{39}\\=\frac{-50}{39}\)
6. \(-\left(\frac{-9}{-4}\right)-\left(\frac{6}{-5}\right)\\= \frac{-9}{4}+\frac{6}{5}\\=\frac{-45}{20}+\frac{24}{20}\\=\frac{-45+24}{20}\\=\frac{-21}{20}\)
7. \(-\left(\frac{-2}{-3}\right)-\left(\frac{-3}{-11}\right)\\= \frac{-2}{3}-\frac{3}{11}\\=\frac{-22}{33}-\frac{9}{33}\\=\frac{-22-9}{33}\\=\frac{-31}{33}\)
8. \(-\left(\frac{-5}{14}\right)+\left(\frac{14}{5}\right)\\= \frac{5}{14}+\frac{14}{5}\\=\frac{25}{70}+\frac{196}{70}\\=\frac{25+196}{70}\\=\frac{221}{70}\)
9. \(-\left(\frac{10}{-11}\right)-\left(\frac{7}{-8}\right)\\= \frac{10}{11}+\frac{7}{8}\\=\frac{80}{88}+\frac{77}{88}\\=\frac{80+77}{88}\\=\frac{157}{88}\)
10. \(+\left(\frac{10}{13}\right)-\left(\frac{-3}{-2}\right)\\= \frac{10}{13}-\frac{3}{2}\\=\frac{20}{26}-\frac{39}{26}\\=\frac{20-39}{26}\\=\frac{-19}{26}\)
11. \(+\left(\frac{14}{3}\right)-\left(\frac{8}{3}\right)\\= \frac{14}{3}-\frac{8}{3}\\=\frac{14-8}{3}\\=\frac{6}{3}\\=\frac{2}{1}\)
12. \(-\left(\frac{-10}{7}\right)-\left(\frac{7}{-3}\right)\\= \frac{10}{7}+\frac{7}{3}\\=\frac{30}{21}+\frac{49}{21}\\=\frac{30+49}{21}\\=\frac{79}{21}\)