Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-4}{-7}\right)+\left(\frac{14}{-9}\right)\\= \frac{-4}{7}-\frac{14}{9}\\=\frac{-36}{63}-\frac{98}{63}\\=\frac{-36-98}{63}\\=\frac{-134}{63}\)
2. \(+\left(\frac{-11}{-14}\right)-\left(\frac{-14}{-5}\right)\\= \frac{11}{14}-\frac{14}{5}\\=\frac{55}{70}-\frac{196}{70}\\=\frac{55-196}{70}\\=\frac{-141}{70}\)
3. \(+\left(\frac{12}{5}\right)+\left(\frac{9}{7}\right)\\= \frac{12}{5}+\frac{9}{7}\\=\frac{84}{35}+\frac{45}{35}\\=\frac{84+45}{35}\\=\frac{129}{35}\)
4. \(-\left(\frac{-11}{7}\right)-\left(\frac{2}{-5}\right)\\= \frac{11}{7}+\frac{2}{5}\\=\frac{55}{35}+\frac{14}{35}\\=\frac{55+14}{35}\\=\frac{69}{35}\)
5. \(-\left(\frac{-12}{13}\right)-\left(\frac{4}{9}\right)\\= \frac{12}{13}-\frac{4}{9}\\=\frac{108}{117}-\frac{52}{117}\\=\frac{108-52}{117}\\=\frac{56}{117}\)
6. \(-\left(\frac{-10}{-7}\right)-\left(\frac{14}{-11}\right)\\= \frac{-10}{7}+\frac{14}{11}\\=\frac{-110}{77}+\frac{98}{77}\\=\frac{-110+98}{77}\\=\frac{-12}{77}\)
7. \(-\left(\frac{14}{9}\right)+\left(\frac{-6}{5}\right)\\= \frac{-14}{9}-\frac{6}{5}\\=\frac{-70}{45}-\frac{54}{45}\\=\frac{-70-54}{45}\\=\frac{-124}{45}\)
8. \(+\left(\frac{-5}{8}\right)+\left(\frac{13}{11}\right)\\= \frac{-5}{8}+\frac{13}{11}\\=\frac{-55}{88}+\frac{104}{88}\\=\frac{-55+104}{88}\\=\frac{49}{88}\)
9. \(-\left(\frac{-8}{5}\right)-\left(\frac{-6}{-7}\right)\\= \frac{8}{5}-\frac{6}{7}\\=\frac{56}{35}-\frac{30}{35}\\=\frac{56-30}{35}\\=\frac{26}{35}\)
10. \(-\left(\frac{-5}{2}\right)+\left(\frac{-12}{5}\right)\\= \frac{5}{2}-\frac{12}{5}\\=\frac{25}{10}-\frac{24}{10}\\=\frac{25-24}{10}\\=\frac{1}{10}\)
11. \(+\left(\frac{-8}{11}\right)-\left(\frac{8}{-9}\right)\\= \frac{-8}{11}+\frac{8}{9}\\=\frac{-72}{99}+\frac{88}{99}\\=\frac{-72+88}{99}\\=\frac{16}{99}\)
12. \(-\left(\frac{2}{9}\right)+\left(\frac{-9}{-10}\right)\\= \frac{-2}{9}+\frac{9}{10}\\=\frac{-20}{90}+\frac{81}{90}\\=\frac{-20+81}{90}\\=\frac{61}{90}\)