Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{-13}\right)-\left(\frac{-2}{11}\right)\\= \frac{-15}{13}+\frac{2}{11}\\=\frac{-165}{143}+\frac{26}{143}\\=\frac{-165+26}{143}\\=\frac{-139}{143}\)
2. \(-\left(\frac{9}{7}\right)+\left(\frac{-8}{3}\right)\\= \frac{-9}{7}-\frac{8}{3}\\=\frac{-27}{21}-\frac{56}{21}\\=\frac{-27-56}{21}\\=\frac{-83}{21}\)
3. \(-\left(\frac{11}{9}\right)-\left(\frac{-11}{2}\right)\\= \frac{-11}{9}+\frac{11}{2}\\=\frac{-22}{18}+\frac{99}{18}\\=\frac{-22+99}{18}\\=\frac{77}{18}\)
4. \(-\left(\frac{-3}{10}\right)+\left(\frac{-7}{-2}\right)\\= \frac{3}{10}+\frac{7}{2}\\=\frac{3+7}{10}\\=\frac{10}{10}\\=\frac{1}{1}\)
5. \(+\left(\frac{-12}{-11}\right)-\left(\frac{12}{-5}\right)\\= \frac{12}{11}+\frac{12}{5}\\=\frac{60}{55}+\frac{132}{55}\\=\frac{60+132}{55}\\=\frac{192}{55}\)
6. \(-\left(\frac{-5}{-11}\right)-\left(\frac{-2}{7}\right)\\= \frac{-5}{11}+\frac{2}{7}\\=\frac{-35}{77}+\frac{22}{77}\\=\frac{-35+22}{77}\\=\frac{-13}{77}\)
7. \(-\left(\frac{9}{10}\right)-\left(\frac{-8}{-7}\right)\\= \frac{-9}{10}-\frac{8}{7}\\=\frac{-63}{70}-\frac{80}{70}\\=\frac{-63-80}{70}\\=\frac{-143}{70}\)
8. \(+\left(\frac{2}{13}\right)-\left(\frac{9}{5}\right)\\= \frac{2}{13}-\frac{9}{5}\\=\frac{10}{65}-\frac{117}{65}\\=\frac{10-117}{65}\\=\frac{-107}{65}\)
9. \(-\left(\frac{-2}{11}\right)+\left(\frac{12}{13}\right)\\= \frac{2}{11}+\frac{12}{13}\\=\frac{26}{143}+\frac{132}{143}\\=\frac{26+132}{143}\\=\frac{158}{143}\)
10. \(+\left(\frac{-5}{12}\right)+\left(\frac{8}{5}\right)\\= \frac{-5}{12}+\frac{8}{5}\\=\frac{-25}{60}+\frac{96}{60}\\=\frac{-25+96}{60}\\=\frac{71}{60}\)
11. \(-\left(\frac{-8}{3}\right)+\left(\frac{4}{-3}\right)\\= \frac{8}{3}-\frac{4}{3}\\=\frac{8-4}{3}\\=\frac{4}{3}\)
12. \(+\left(\frac{-3}{-4}\right)-\left(\frac{-2}{7}\right)\\= \frac{3}{4}+\frac{2}{7}\\=\frac{21}{28}+\frac{8}{28}\\=\frac{21+8}{28}\\=\frac{29}{28}\)