Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{7}\right)-\left(\frac{-12}{5}\right)\\= \frac{2}{7}+\frac{12}{5}\\=\frac{10}{35}+\frac{84}{35}\\=\frac{10+84}{35}\\=\frac{94}{35}\)
2. \(+\left(\frac{7}{-4}\right)-\left(\frac{-7}{11}\right)\\= \frac{-7}{4}+\frac{7}{11}\\=\frac{-77}{44}+\frac{28}{44}\\=\frac{-77+28}{44}\\=\frac{-49}{44}\)
3. \(-\left(\frac{-15}{-13}\right)-\left(\frac{-12}{11}\right)\\= \frac{-15}{13}+\frac{12}{11}\\=\frac{-165}{143}+\frac{156}{143}\\=\frac{-165+156}{143}\\=\frac{-9}{143}\)
4. \(+\left(\frac{13}{11}\right)-\left(\frac{-7}{-4}\right)\\= \frac{13}{11}-\frac{7}{4}\\=\frac{52}{44}-\frac{77}{44}\\=\frac{52-77}{44}\\=\frac{-25}{44}\)
5. \(+\left(\frac{11}{7}\right)-\left(\frac{3}{4}\right)\\= \frac{11}{7}-\frac{3}{4}\\=\frac{44}{28}-\frac{21}{28}\\=\frac{44-21}{28}\\=\frac{23}{28}\)
6. \(+\left(\frac{4}{7}\right)-\left(\frac{-12}{5}\right)\\= \frac{4}{7}+\frac{12}{5}\\=\frac{20}{35}+\frac{84}{35}\\=\frac{20+84}{35}\\=\frac{104}{35}\)
7. \(+\left(\frac{-10}{7}\right)+\left(\frac{-10}{-13}\right)\\= \frac{-10}{7}+\frac{10}{13}\\=\frac{-130}{91}+\frac{70}{91}\\=\frac{-130+70}{91}\\=\frac{-60}{91}\)
8. \(+\left(\frac{5}{-8}\right)-\left(\frac{8}{11}\right)\\= \frac{-5}{8}-\frac{8}{11}\\=\frac{-55}{88}-\frac{64}{88}\\=\frac{-55-64}{88}\\=\frac{-119}{88}\)
9. \(-\left(\frac{11}{10}\right)+\left(\frac{13}{5}\right)\\= \frac{-11}{10}+\frac{13}{5}\\=\frac{-11+13}{10}\\=\frac{2}{10}\\=\frac{1}{5}\)
10. \(-\left(\frac{15}{-11}\right)-\left(\frac{-14}{9}\right)\\= \frac{15}{11}+\frac{14}{9}\\=\frac{135}{99}+\frac{154}{99}\\=\frac{135+154}{99}\\=\frac{289}{99}\)
11. \(+\left(\frac{13}{3}\right)-\left(\frac{14}{-13}\right)\\= \frac{13}{3}+\frac{14}{13}\\=\frac{169}{39}+\frac{42}{39}\\=\frac{169+42}{39}\\=\frac{211}{39}\)
12. \(+\left(\frac{-15}{-11}\right)+\left(\frac{9}{5}\right)\\= \frac{15}{11}+\frac{9}{5}\\=\frac{75}{55}+\frac{99}{55}\\=\frac{75+99}{55}\\=\frac{174}{55}\)