Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{3}\right)+\left(\frac{-6}{-7}\right)\\= \frac{-2}{3}+\frac{6}{7}\\=\frac{-14}{21}+\frac{18}{21}\\=\frac{-14+18}{21}\\=\frac{4}{21}\)
2. \(+\left(\frac{-8}{3}\right)+\left(\frac{2}{5}\right)\\= \frac{-8}{3}+\frac{2}{5}\\=\frac{-40}{15}+\frac{6}{15}\\=\frac{-40+6}{15}\\=\frac{-34}{15}\)
3. \(-\left(\frac{-3}{-7}\right)+\left(\frac{-11}{-5}\right)\\= \frac{-3}{7}+\frac{11}{5}\\=\frac{-15}{35}+\frac{77}{35}\\=\frac{-15+77}{35}\\=\frac{62}{35}\)
4. \(-\left(\frac{14}{9}\right)+\left(\frac{-8}{-3}\right)\\= \frac{-14}{9}+\frac{8}{3}\\=\frac{-14+8}{9}\\=\frac{-6}{9}\\=\frac{-2}{3}\)
5. \(-\left(\frac{-11}{7}\right)+\left(\frac{-4}{7}\right)\\= \frac{11}{7}-\frac{4}{7}\\=\frac{11-4}{7}\\=\frac{7}{7}\\=\frac{1}{1}\)
6. \(-\left(\frac{-8}{-3}\right)-\left(\frac{9}{-4}\right)\\= \frac{-8}{3}+\frac{9}{4}\\=\frac{-32}{12}+\frac{27}{12}\\=\frac{-32+27}{12}\\=\frac{-5}{12}\)
7. \(+\left(\frac{-7}{8}\right)-\left(\frac{8}{7}\right)\\= \frac{-7}{8}-\frac{8}{7}\\=\frac{-49}{56}-\frac{64}{56}\\=\frac{-49-64}{56}\\=\frac{-113}{56}\)
8. \(+\left(\frac{11}{-6}\right)+\left(\frac{2}{9}\right)\\= \frac{-11}{6}+\frac{2}{9}\\=\frac{-33}{18}+\frac{4}{18}\\=\frac{-33+4}{18}\\=\frac{-29}{18}\)
9. \(+\left(\frac{-4}{-7}\right)-\left(\frac{-13}{14}\right)\\= \frac{4}{7}+\frac{13}{14}\\=\frac{8}{14}+\frac{13}{14}\\=\frac{8+13}{14}\\=\frac{21}{14}\\=\frac{3}{2}\)
10. \(+\left(\frac{-12}{-5}\right)-\left(\frac{5}{-2}\right)\\= \frac{12}{5}+\frac{5}{2}\\=\frac{24}{10}+\frac{25}{10}\\=\frac{24+25}{10}\\=\frac{49}{10}\)
11. \(-\left(\frac{7}{-8}\right)-\left(\frac{-14}{11}\right)\\= \frac{7}{8}+\frac{14}{11}\\=\frac{77}{88}+\frac{112}{88}\\=\frac{77+112}{88}\\=\frac{189}{88}\)
12. \(-\left(\frac{-5}{11}\right)+\left(\frac{4}{-9}\right)\\= \frac{5}{11}-\frac{4}{9}\\=\frac{45}{99}-\frac{44}{99}\\=\frac{45-44}{99}\\=\frac{1}{99}\)