Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-10}{-11}\right)-\left(\frac{14}{3}\right)\\= \frac{10}{11}-\frac{14}{3}\\=\frac{30}{33}-\frac{154}{33}\\=\frac{30-154}{33}\\=\frac{-124}{33}\)
2. \(-\left(\frac{3}{7}\right)-\left(\frac{-9}{10}\right)\\= \frac{-3}{7}+\frac{9}{10}\\=\frac{-30}{70}+\frac{63}{70}\\=\frac{-30+63}{70}\\=\frac{33}{70}\)
3. \(-\left(\frac{-6}{-11}\right)+\left(\frac{13}{2}\right)\\= \frac{-6}{11}+\frac{13}{2}\\=\frac{-12}{22}+\frac{143}{22}\\=\frac{-12+143}{22}\\=\frac{131}{22}\)
4. \(+\left(\frac{4}{-11}\right)+\left(\frac{-9}{-13}\right)\\= \frac{-4}{11}+\frac{9}{13}\\=\frac{-52}{143}+\frac{99}{143}\\=\frac{-52+99}{143}\\=\frac{47}{143}\)
5. \(-\left(\frac{-10}{9}\right)-\left(\frac{-2}{13}\right)\\= \frac{10}{9}+\frac{2}{13}\\=\frac{130}{117}+\frac{18}{117}\\=\frac{130+18}{117}\\=\frac{148}{117}\)
6. \(+\left(\frac{6}{-5}\right)+\left(\frac{-11}{2}\right)\\= \frac{-6}{5}-\frac{11}{2}\\=\frac{-12}{10}-\frac{55}{10}\\=\frac{-12-55}{10}\\=\frac{-67}{10}\)
7. \(+\left(\frac{-5}{-8}\right)+\left(\frac{-10}{-7}\right)\\= \frac{5}{8}+\frac{10}{7}\\=\frac{35}{56}+\frac{80}{56}\\=\frac{35+80}{56}\\=\frac{115}{56}\)
8. \(-\left(\frac{3}{-10}\right)+\left(\frac{-3}{13}\right)\\= \frac{3}{10}-\frac{3}{13}\\=\frac{39}{130}-\frac{30}{130}\\=\frac{39-30}{130}\\=\frac{9}{130}\)
9. \(+\left(\frac{-4}{7}\right)+\left(\frac{4}{3}\right)\\= \frac{-4}{7}+\frac{4}{3}\\=\frac{-12}{21}+\frac{28}{21}\\=\frac{-12+28}{21}\\=\frac{16}{21}\)
10. \(+\left(\frac{15}{-11}\right)-\left(\frac{5}{11}\right)\\= \frac{-15}{11}-\frac{5}{11}\\=\frac{-15-5}{11}\\=\frac{-20}{11}\)
11. \(+\left(\frac{15}{-7}\right)+\left(\frac{-14}{11}\right)\\= \frac{-15}{7}-\frac{14}{11}\\=\frac{-165}{77}-\frac{98}{77}\\=\frac{-165-98}{77}\\=\frac{-263}{77}\)
12. \(+\left(\frac{-10}{-9}\right)-\left(\frac{14}{-11}\right)\\= \frac{10}{9}+\frac{14}{11}\\=\frac{110}{99}+\frac{126}{99}\\=\frac{110+126}{99}\\=\frac{236}{99}\)