Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer 

Bereken

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

Bereken

Verbetersleutel

  1. \(-\left(\frac{3}{-8}\right)+\left(\frac{10}{3}\right)\\= \frac{3}{8}+\frac{10}{3}\\=\frac{9}{24}+\frac{80}{24}\\=\frac{9+80}{24}\\=\frac{89}{24}\)
  2. \(+\left(\frac{-14}{15}\right)+\left(\frac{13}{5}\right)\\= \frac{-14}{15}+\frac{13}{5}\\=\frac{-14+13}{15}\\=\frac{-1}{15}\)
  3. \(-\left(\frac{5}{-3}\right)+\left(\frac{14}{15}\right)\\= \frac{5}{3}+\frac{14}{15}\\=\frac{25}{15}+\frac{14}{15}\\=\frac{25+14}{15}\\=\frac{39}{15}\\=\frac{13}{5}\)
  4. \(-\left(\frac{-13}{-9}\right)+\left(\frac{12}{-11}\right)\\= \frac{-13}{9}-\frac{12}{11}\\=\frac{-143}{99}-\frac{108}{99}\\=\frac{-143-108}{99}\\=\frac{-251}{99}\)
  5. \(+\left(\frac{13}{-2}\right)+\left(\frac{-5}{-3}\right)\\= \frac{-13}{2}+\frac{5}{3}\\=\frac{-39}{6}+\frac{10}{6}\\=\frac{-39+10}{6}\\=\frac{-29}{6}\)
  6. \(+\left(\frac{-10}{-3}\right)-\left(\frac{-7}{9}\right)\\= \frac{10}{3}+\frac{7}{9}\\=\frac{30}{9}+\frac{7}{9}\\=\frac{30+7}{9}\\=\frac{37}{9}\)
  7. \(+\left(\frac{6}{-11}\right)+\left(\frac{5}{4}\right)\\= \frac{-6}{11}+\frac{5}{4}\\=\frac{-24}{44}+\frac{55}{44}\\=\frac{-24+55}{44}\\=\frac{31}{44}\)
  8. \(-\left(\frac{7}{5}\right)-\left(\frac{-7}{-12}\right)\\= \frac{-7}{5}-\frac{7}{12}\\=\frac{-84}{60}-\frac{35}{60}\\=\frac{-84-35}{60}\\=\frac{-119}{60}\)
  9. \(-\left(\frac{13}{3}\right)+\left(\frac{-14}{-15}\right)\\= \frac{-13}{3}+\frac{14}{15}\\=\frac{-65}{15}+\frac{14}{15}\\=\frac{-65+14}{15}\\=\frac{-51}{15}\\=\frac{-17}{5}\)
  10. \(+\left(\frac{3}{-10}\right)-\left(\frac{15}{14}\right)\\= \frac{-3}{10}-\frac{15}{14}\\=\frac{-21}{70}-\frac{75}{70}\\=\frac{-21-75}{70}\\=\frac{-96}{70}\\=\frac{-48}{35}\)
  11. \(-\left(\frac{-15}{-2}\right)+\left(\frac{-13}{-14}\right)\\= \frac{-15}{2}+\frac{13}{14}\\=\frac{-105}{14}+\frac{13}{14}\\=\frac{-105+13}{14}\\=\frac{-92}{14}\\=\frac{-46}{7}\)
  12. \(+\left(\frac{4}{-3}\right)-\left(\frac{15}{-11}\right)\\= \frac{-4}{3}+\frac{15}{11}\\=\frac{-44}{33}+\frac{45}{33}\\=\frac{-44+45}{33}\\=\frac{1}{33}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 02:26:27