Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-14}{9}\right)+\left(\frac{-10}{3}\right)\\= \frac{14}{9}-\frac{10}{3}\\=\frac{14-10}{9}\\=\frac{4}{9}\)
2. \(+\left(\frac{6}{11}\right)-\left(\frac{9}{10}\right)\\= \frac{6}{11}-\frac{9}{10}\\=\frac{60}{110}-\frac{99}{110}\\=\frac{60-99}{110}\\=\frac{-39}{110}\)
3. \(+\left(\frac{15}{-13}\right)+\left(\frac{7}{8}\right)\\= \frac{-15}{13}+\frac{7}{8}\\=\frac{-120}{104}+\frac{91}{104}\\=\frac{-120+91}{104}\\=\frac{-29}{104}\)
4. \(+\left(\frac{13}{11}\right)-\left(\frac{-13}{8}\right)\\= \frac{13}{11}+\frac{13}{8}\\=\frac{104}{88}+\frac{143}{88}\\=\frac{104+143}{88}\\=\frac{247}{88}\)
5. \(+\left(\frac{-7}{-5}\right)-\left(\frac{2}{-3}\right)\\= \frac{7}{5}+\frac{2}{3}\\=\frac{21}{15}+\frac{10}{15}\\=\frac{21+10}{15}\\=\frac{31}{15}\)
6. \(+\left(\frac{-10}{7}\right)+\left(\frac{3}{-5}\right)\\= \frac{-10}{7}-\frac{3}{5}\\=\frac{-50}{35}-\frac{21}{35}\\=\frac{-50-21}{35}\\=\frac{-71}{35}\)
7. \(+\left(\frac{14}{-11}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-14}{11}-\frac{13}{2}\\=\frac{-28}{22}-\frac{143}{22}\\=\frac{-28-143}{22}\\=\frac{-171}{22}\)
8. \(-\left(\frac{-15}{-4}\right)-\left(\frac{-5}{-3}\right)\\= \frac{-15}{4}-\frac{5}{3}\\=\frac{-45}{12}-\frac{20}{12}\\=\frac{-45-20}{12}\\=\frac{-65}{12}\)
9. \(+\left(\frac{-14}{-5}\right)+\left(\frac{-13}{-6}\right)\\= \frac{14}{5}+\frac{13}{6}\\=\frac{84}{30}+\frac{65}{30}\\=\frac{84+65}{30}\\=\frac{149}{30}\)
10. \(-\left(\frac{-12}{-7}\right)-\left(\frac{-7}{8}\right)\\= \frac{-12}{7}+\frac{7}{8}\\=\frac{-96}{56}+\frac{49}{56}\\=\frac{-96+49}{56}\\=\frac{-47}{56}\)
11. \(-\left(\frac{10}{9}\right)-\left(\frac{7}{2}\right)\\= \frac{-10}{9}-\frac{7}{2}\\=\frac{-20}{18}-\frac{63}{18}\\=\frac{-20-63}{18}\\=\frac{-83}{18}\)
12. \(+\left(\frac{11}{7}\right)-\left(\frac{4}{11}\right)\\= \frac{11}{7}-\frac{4}{11}\\=\frac{121}{77}-\frac{28}{77}\\=\frac{121-28}{77}\\=\frac{93}{77}\)