Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{-13}\right)-\left(\frac{11}{-12}\right)\\= \frac{-12}{13}+\frac{11}{12}\\=\frac{-144}{156}+\frac{143}{156}\\=\frac{-144+143}{156}\\=\frac{-1}{156}\)
2. \(-\left(\frac{3}{2}\right)-\left(\frac{5}{11}\right)\\= \frac{-3}{2}-\frac{5}{11}\\=\frac{-33}{22}-\frac{10}{22}\\=\frac{-33-10}{22}\\=\frac{-43}{22}\)
3. \(+\left(\frac{10}{-3}\right)+\left(\frac{-15}{8}\right)\\= \frac{-10}{3}-\frac{15}{8}\\=\frac{-80}{24}-\frac{45}{24}\\=\frac{-80-45}{24}\\=\frac{-125}{24}\)
4. \(-\left(\frac{-14}{-5}\right)-\left(\frac{-13}{7}\right)\\= \frac{-14}{5}+\frac{13}{7}\\=\frac{-98}{35}+\frac{65}{35}\\=\frac{-98+65}{35}\\=\frac{-33}{35}\)
5. \(+\left(\frac{3}{4}\right)+\left(\frac{-7}{-12}\right)\\= \frac{3}{4}+\frac{7}{12}\\=\frac{9}{12}+\frac{7}{12}\\=\frac{9+7}{12}\\=\frac{16}{12}\\=\frac{4}{3}\)
6. \(-\left(\frac{-3}{5}\right)+\left(\frac{4}{3}\right)\\= \frac{3}{5}+\frac{4}{3}\\=\frac{9}{15}+\frac{20}{15}\\=\frac{9+20}{15}\\=\frac{29}{15}\)
7. \(-\left(\frac{4}{-3}\right)-\left(\frac{-13}{-5}\right)\\= \frac{4}{3}-\frac{13}{5}\\=\frac{20}{15}-\frac{39}{15}\\=\frac{20-39}{15}\\=\frac{-19}{15}\)
8. \(+\left(\frac{-5}{11}\right)-\left(\frac{-10}{-7}\right)\\= \frac{-5}{11}-\frac{10}{7}\\=\frac{-35}{77}-\frac{110}{77}\\=\frac{-35-110}{77}\\=\frac{-145}{77}\)
9. \(-\left(\frac{-5}{-2}\right)-\left(\frac{9}{-10}\right)\\= \frac{-5}{2}+\frac{9}{10}\\=\frac{-25}{10}+\frac{9}{10}\\=\frac{-25+9}{10}\\=\frac{-16}{10}\\=\frac{-8}{5}\)
10. \(+\left(\frac{15}{11}\right)-\left(\frac{11}{-12}\right)\\= \frac{15}{11}+\frac{11}{12}\\=\frac{180}{132}+\frac{121}{132}\\=\frac{180+121}{132}\\=\frac{301}{132}\)
11. \(+\left(\frac{-7}{2}\right)+\left(\frac{2}{9}\right)\\= \frac{-7}{2}+\frac{2}{9}\\=\frac{-63}{18}+\frac{4}{18}\\=\frac{-63+4}{18}\\=\frac{-59}{18}\)
12. \(-\left(\frac{9}{-14}\right)+\left(\frac{-13}{-11}\right)\\= \frac{9}{14}+\frac{13}{11}\\=\frac{99}{154}+\frac{182}{154}\\=\frac{99+182}{154}\\=\frac{281}{154}\)