Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{5}\right)+\left(\frac{6}{5}\right)\\= \frac{-9}{5}+\frac{6}{5}\\=\frac{-9+6}{5}\\=\frac{-3}{5}\)
2. \(+\left(\frac{3}{-7}\right)+\left(\frac{-6}{5}\right)\\= \frac{-3}{7}-\frac{6}{5}\\=\frac{-15}{35}-\frac{42}{35}\\=\frac{-15-42}{35}\\=\frac{-57}{35}\)
3. \(+\left(\frac{-9}{14}\right)+\left(\frac{-15}{-13}\right)\\= \frac{-9}{14}+\frac{15}{13}\\=\frac{-117}{182}+\frac{210}{182}\\=\frac{-117+210}{182}\\=\frac{93}{182}\)
4. \(+\left(\frac{13}{3}\right)+\left(\frac{4}{-5}\right)\\= \frac{13}{3}-\frac{4}{5}\\=\frac{65}{15}-\frac{12}{15}\\=\frac{65-12}{15}\\=\frac{53}{15}\)
5. \(-\left(\frac{13}{14}\right)-\left(\frac{7}{-3}\right)\\= \frac{-13}{14}+\frac{7}{3}\\=\frac{-39}{42}+\frac{98}{42}\\=\frac{-39+98}{42}\\=\frac{59}{42}\)
6. \(-\left(\frac{-12}{5}\right)+\left(\frac{-11}{-12}\right)\\= \frac{12}{5}+\frac{11}{12}\\=\frac{144}{60}+\frac{55}{60}\\=\frac{144+55}{60}\\=\frac{199}{60}\)
7. \(-\left(\frac{-9}{-10}\right)+\left(\frac{2}{7}\right)\\= \frac{-9}{10}+\frac{2}{7}\\=\frac{-63}{70}+\frac{20}{70}\\=\frac{-63+20}{70}\\=\frac{-43}{70}\)
8. \(-\left(\frac{9}{7}\right)-\left(\frac{13}{-4}\right)\\= \frac{-9}{7}+\frac{13}{4}\\=\frac{-36}{28}+\frac{91}{28}\\=\frac{-36+91}{28}\\=\frac{55}{28}\)
9. \(-\left(\frac{11}{-6}\right)-\left(\frac{-10}{-7}\right)\\= \frac{11}{6}-\frac{10}{7}\\=\frac{77}{42}-\frac{60}{42}\\=\frac{77-60}{42}\\=\frac{17}{42}\)
10. \(+\left(\frac{13}{-6}\right)+\left(\frac{-15}{7}\right)\\= \frac{-13}{6}-\frac{15}{7}\\=\frac{-91}{42}-\frac{90}{42}\\=\frac{-91-90}{42}\\=\frac{-181}{42}\)
11. \(-\left(\frac{-13}{-5}\right)+\left(\frac{-3}{10}\right)\\= \frac{-13}{5}-\frac{3}{10}\\=\frac{-26}{10}-\frac{3}{10}\\=\frac{-26-3}{10}\\=\frac{-29}{10}\)
12. \(-\left(\frac{-10}{13}\right)-\left(\frac{3}{10}\right)\\= \frac{10}{13}-\frac{3}{10}\\=\frac{100}{130}-\frac{39}{130}\\=\frac{100-39}{130}\\=\frac{61}{130}\)