Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{8}{-5}\right)-\left(\frac{9}{2}\right)\\= \frac{8}{5}-\frac{9}{2}\\=\frac{16}{10}-\frac{45}{10}\\=\frac{16-45}{10}\\=\frac{-29}{10}\)
2. \(-\left(\frac{-4}{7}\right)-\left(\frac{10}{11}\right)\\= \frac{4}{7}-\frac{10}{11}\\=\frac{44}{77}-\frac{70}{77}\\=\frac{44-70}{77}\\=\frac{-26}{77}\)
3. \(+\left(\frac{-13}{-12}\right)-\left(\frac{13}{10}\right)\\= \frac{13}{12}-\frac{13}{10}\\=\frac{65}{60}-\frac{78}{60}\\=\frac{65-78}{60}\\=\frac{-13}{60}\)
4. \(-\left(\frac{-3}{-8}\right)-\left(\frac{-3}{-13}\right)\\= \frac{-3}{8}-\frac{3}{13}\\=\frac{-39}{104}-\frac{24}{104}\\=\frac{-39-24}{104}\\=\frac{-63}{104}\)
5. \(+\left(\frac{8}{3}\right)+\left(\frac{2}{-5}\right)\\= \frac{8}{3}-\frac{2}{5}\\=\frac{40}{15}-\frac{6}{15}\\=\frac{40-6}{15}\\=\frac{34}{15}\)
6. \(-\left(\frac{11}{-2}\right)-\left(\frac{-9}{-4}\right)\\= \frac{11}{2}-\frac{9}{4}\\=\frac{22}{4}-\frac{9}{4}\\=\frac{22-9}{4}\\=\frac{13}{4}\)
7. \(+\left(\frac{-4}{5}\right)-\left(\frac{3}{14}\right)\\= \frac{-4}{5}-\frac{3}{14}\\=\frac{-56}{70}-\frac{15}{70}\\=\frac{-56-15}{70}\\=\frac{-71}{70}\)
8. \(-\left(\frac{-15}{7}\right)+\left(\frac{-3}{11}\right)\\= \frac{15}{7}-\frac{3}{11}\\=\frac{165}{77}-\frac{21}{77}\\=\frac{165-21}{77}\\=\frac{144}{77}\)
9. \(+\left(\frac{-13}{-14}\right)-\left(\frac{-12}{-13}\right)\\= \frac{13}{14}-\frac{12}{13}\\=\frac{169}{182}-\frac{168}{182}\\=\frac{169-168}{182}\\=\frac{1}{182}\)
10. \(-\left(\frac{11}{-6}\right)+\left(\frac{-10}{-3}\right)\\= \frac{11}{6}+\frac{10}{3}\\=\frac{11+10}{6}\\=\frac{21}{6}\\=\frac{7}{2}\)
11. \(-\left(\frac{-11}{-14}\right)-\left(\frac{8}{-7}\right)\\= \frac{-11}{14}+\frac{8}{7}\\=\frac{-11+8}{14}\\=\frac{-3}{14}\)
12. \(-\left(\frac{9}{-11}\right)-\left(\frac{4}{-11}\right)\\= \frac{9}{11}+\frac{4}{11}\\=\frac{9+4}{11}\\=\frac{13}{11}\)