Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{13}\right)+\left(\frac{5}{-2}\right)\\= \frac{-4}{13}-\frac{5}{2}\\=\frac{-8}{26}-\frac{65}{26}\\=\frac{-8-65}{26}\\=\frac{-73}{26}\)
2. \(+\left(\frac{12}{-13}\right)-\left(\frac{-5}{-6}\right)\\= \frac{-12}{13}-\frac{5}{6}\\=\frac{-72}{78}-\frac{65}{78}\\=\frac{-72-65}{78}\\=\frac{-137}{78}\)
3. \(+\left(\frac{-14}{-9}\right)-\left(\frac{9}{-7}\right)\\= \frac{14}{9}+\frac{9}{7}\\=\frac{98}{63}+\frac{81}{63}\\=\frac{98+81}{63}\\=\frac{179}{63}\)
4. \(+\left(\frac{-12}{-5}\right)-\left(\frac{-9}{-14}\right)\\= \frac{12}{5}-\frac{9}{14}\\=\frac{168}{70}-\frac{45}{70}\\=\frac{168-45}{70}\\=\frac{123}{70}\)
5. \(+\left(\frac{4}{-3}\right)-\left(\frac{12}{11}\right)\\= \frac{-4}{3}-\frac{12}{11}\\=\frac{-44}{33}-\frac{36}{33}\\=\frac{-44-36}{33}\\=\frac{-80}{33}\)
6. \(-\left(\frac{-8}{5}\right)+\left(\frac{-8}{-3}\right)\\= \frac{8}{5}+\frac{8}{3}\\=\frac{24}{15}+\frac{40}{15}\\=\frac{24+40}{15}\\=\frac{64}{15}\)
7. \(+\left(\frac{-14}{9}\right)-\left(\frac{15}{-11}\right)\\= \frac{-14}{9}+\frac{15}{11}\\=\frac{-154}{99}+\frac{135}{99}\\=\frac{-154+135}{99}\\=\frac{-19}{99}\)
8. \(+\left(\frac{3}{11}\right)-\left(\frac{-9}{-7}\right)\\= \frac{3}{11}-\frac{9}{7}\\=\frac{21}{77}-\frac{99}{77}\\=\frac{21-99}{77}\\=\frac{-78}{77}\)
9. \(+\left(\frac{11}{-10}\right)+\left(\frac{2}{9}\right)\\= \frac{-11}{10}+\frac{2}{9}\\=\frac{-99}{90}+\frac{20}{90}\\=\frac{-99+20}{90}\\=\frac{-79}{90}\)
10. \(+\left(\frac{-11}{-5}\right)+\left(\frac{14}{-9}\right)\\= \frac{11}{5}-\frac{14}{9}\\=\frac{99}{45}-\frac{70}{45}\\=\frac{99-70}{45}\\=\frac{29}{45}\)
11. \(-\left(\frac{-5}{-9}\right)+\left(\frac{10}{13}\right)\\= \frac{-5}{9}+\frac{10}{13}\\=\frac{-65}{117}+\frac{90}{117}\\=\frac{-65+90}{117}\\=\frac{25}{117}\)
12. \(+\left(\frac{-15}{-4}\right)+\left(\frac{-9}{-11}\right)\\= \frac{15}{4}+\frac{9}{11}\\=\frac{165}{44}+\frac{36}{44}\\=\frac{165+36}{44}\\=\frac{201}{44}\)