Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-12}{-13}\right)-\left(\frac{-4}{-7}\right)\\= \frac{12}{13}-\frac{4}{7}\\=\frac{84}{91}-\frac{52}{91}\\=\frac{84-52}{91}\\=\frac{32}{91}\)
2. \(-\left(\frac{-7}{-8}\right)-\left(\frac{-14}{13}\right)\\= \frac{-7}{8}+\frac{14}{13}\\=\frac{-91}{104}+\frac{112}{104}\\=\frac{-91+112}{104}\\=\frac{21}{104}\)
3. \(+\left(\frac{-6}{-13}\right)-\left(\frac{11}{6}\right)\\= \frac{6}{13}-\frac{11}{6}\\=\frac{36}{78}-\frac{143}{78}\\=\frac{36-143}{78}\\=\frac{-107}{78}\)
4. \(-\left(\frac{7}{5}\right)-\left(\frac{-14}{11}\right)\\= \frac{-7}{5}+\frac{14}{11}\\=\frac{-77}{55}+\frac{70}{55}\\=\frac{-77+70}{55}\\=\frac{-7}{55}\)
5. \(-\left(\frac{11}{-4}\right)+\left(\frac{3}{4}\right)\\= \frac{11}{4}+\frac{3}{4}\\=\frac{11+3}{4}\\=\frac{14}{4}\\=\frac{7}{2}\)
6. \(+\left(\frac{2}{11}\right)-\left(\frac{-6}{-5}\right)\\= \frac{2}{11}-\frac{6}{5}\\=\frac{10}{55}-\frac{66}{55}\\=\frac{10-66}{55}\\=\frac{-56}{55}\)
7. \(+\left(\frac{5}{-7}\right)+\left(\frac{12}{5}\right)\\= \frac{-5}{7}+\frac{12}{5}\\=\frac{-25}{35}+\frac{84}{35}\\=\frac{-25+84}{35}\\=\frac{59}{35}\)
8. \(-\left(\frac{-15}{-13}\right)-\left(\frac{15}{7}\right)\\= \frac{-15}{13}-\frac{15}{7}\\=\frac{-105}{91}-\frac{195}{91}\\=\frac{-105-195}{91}\\=\frac{-300}{91}\)
9. \(-\left(\frac{13}{-2}\right)+\left(\frac{-7}{-6}\right)\\= \frac{13}{2}+\frac{7}{6}\\=\frac{39}{6}+\frac{7}{6}\\=\frac{39+7}{6}\\=\frac{46}{6}\\=\frac{23}{3}\)
10. \(+\left(\frac{-9}{-8}\right)-\left(\frac{-9}{14}\right)\\= \frac{9}{8}+\frac{9}{14}\\=\frac{63}{56}+\frac{36}{56}\\=\frac{63+36}{56}\\=\frac{99}{56}\)
11. \(-\left(\frac{-3}{-10}\right)+\left(\frac{-5}{2}\right)\\= \frac{-3}{10}-\frac{5}{2}\\=\frac{-3-5}{10}\\=\frac{-8}{10}\\=\frac{-4}{5}\)
12. \(-\left(\frac{12}{-11}\right)+\left(\frac{-7}{6}\right)\\= \frac{12}{11}-\frac{7}{6}\\=\frac{72}{66}-\frac{77}{66}\\=\frac{72-77}{66}\\=\frac{-5}{66}\)