Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-11}{7}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-11}{7}+\frac{12}{5}\\=\frac{-55}{35}+\frac{84}{35}\\=\frac{-55+84}{35}\\=\frac{29}{35}\)
2. \(+\left(\frac{6}{-5}\right)+\left(\frac{-5}{-7}\right)\\= \frac{-6}{5}+\frac{5}{7}\\=\frac{-42}{35}+\frac{25}{35}\\=\frac{-42+25}{35}\\=\frac{-17}{35}\)
3. \(+\left(\frac{-15}{-2}\right)+\left(\frac{2}{3}\right)\\= \frac{15}{2}+\frac{2}{3}\\=\frac{45}{6}+\frac{4}{6}\\=\frac{45+4}{6}\\=\frac{49}{6}\)
4. \(+\left(\frac{-4}{-11}\right)-\left(\frac{-15}{-2}\right)\\= \frac{4}{11}-\frac{15}{2}\\=\frac{8}{22}-\frac{165}{22}\\=\frac{8-165}{22}\\=\frac{-157}{22}\)
5. \(-\left(\frac{-8}{7}\right)+\left(\frac{-2}{-13}\right)\\= \frac{8}{7}+\frac{2}{13}\\=\frac{104}{91}+\frac{14}{91}\\=\frac{104+14}{91}\\=\frac{118}{91}\)
6. \(+\left(\frac{-5}{6}\right)-\left(\frac{-14}{9}\right)\\= \frac{-5}{6}+\frac{14}{9}\\=\frac{-15}{18}+\frac{28}{18}\\=\frac{-15+28}{18}\\=\frac{13}{18}\)
7. \(-\left(\frac{8}{13}\right)-\left(\frac{-11}{8}\right)\\= \frac{-8}{13}+\frac{11}{8}\\=\frac{-64}{104}+\frac{143}{104}\\=\frac{-64+143}{104}\\=\frac{79}{104}\)
8. \(+\left(\frac{7}{3}\right)-\left(\frac{8}{7}\right)\\= \frac{7}{3}-\frac{8}{7}\\=\frac{49}{21}-\frac{24}{21}\\=\frac{49-24}{21}\\=\frac{25}{21}\)
9. \(+\left(\frac{9}{4}\right)+\left(\frac{5}{-2}\right)\\= \frac{9}{4}-\frac{5}{2}\\=\frac{9-5}{4}\\=\frac{4}{4}\\=\frac{1}{1}\)
10. \(+\left(\frac{9}{10}\right)-\left(\frac{-7}{-2}\right)\\= \frac{9}{10}-\frac{7}{2}\\=\frac{9-7}{10}\\=\frac{2}{10}\\=\frac{1}{5}\)
11. \(-\left(\frac{3}{-8}\right)+\left(\frac{-9}{-8}\right)\\= \frac{3}{8}+\frac{9}{8}\\=\frac{3+9}{8}\\=\frac{12}{8}\\=\frac{3}{2}\)
12. \(+\left(\frac{3}{7}\right)-\left(\frac{2}{5}\right)\\= \frac{3}{7}-\frac{2}{5}\\=\frac{15}{35}-\frac{14}{35}\\=\frac{15-14}{35}\\=\frac{1}{35}\)