Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{-3}\right)-\left(\frac{10}{-7}\right)\\= \frac{4}{3}+\frac{10}{7}\\=\frac{28}{21}+\frac{30}{21}\\=\frac{28+30}{21}\\=\frac{58}{21}\)
2. \(-\left(\frac{6}{11}\right)+\left(\frac{11}{4}\right)\\= \frac{-6}{11}+\frac{11}{4}\\=\frac{-24}{44}+\frac{121}{44}\\=\frac{-24+121}{44}\\=\frac{97}{44}\)
3. \(-\left(\frac{-14}{9}\right)+\left(\frac{-6}{5}\right)\\= \frac{14}{9}-\frac{6}{5}\\=\frac{70}{45}-\frac{54}{45}\\=\frac{70-54}{45}\\=\frac{16}{45}\)
4. \(-\left(\frac{15}{-4}\right)+\left(\frac{-12}{13}\right)\\= \frac{15}{4}-\frac{12}{13}\\=\frac{195}{52}-\frac{48}{52}\\=\frac{195-48}{52}\\=\frac{147}{52}\)
5. \(-\left(\frac{8}{-11}\right)+\left(\frac{2}{-3}\right)\\= \frac{8}{11}-\frac{2}{3}\\=\frac{24}{33}-\frac{22}{33}\\=\frac{24-22}{33}\\=\frac{2}{33}\)
6. \(+\left(\frac{15}{-8}\right)+\left(\frac{2}{-7}\right)\\= \frac{-15}{8}-\frac{2}{7}\\=\frac{-105}{56}-\frac{16}{56}\\=\frac{-105-16}{56}\\=\frac{-121}{56}\)
7. \(+\left(\frac{14}{-3}\right)+\left(\frac{-3}{-5}\right)\\= \frac{-14}{3}+\frac{3}{5}\\=\frac{-70}{15}+\frac{9}{15}\\=\frac{-70+9}{15}\\=\frac{-61}{15}\)
8. \(-\left(\frac{9}{7}\right)-\left(\frac{10}{3}\right)\\= \frac{-9}{7}-\frac{10}{3}\\=\frac{-27}{21}-\frac{70}{21}\\=\frac{-27-70}{21}\\=\frac{-97}{21}\)
9. \(-\left(\frac{-3}{-4}\right)+\left(\frac{10}{3}\right)\\= \frac{-3}{4}+\frac{10}{3}\\=\frac{-9}{12}+\frac{40}{12}\\=\frac{-9+40}{12}\\=\frac{31}{12}\)
10. \(+\left(\frac{-14}{9}\right)-\left(\frac{9}{7}\right)\\= \frac{-14}{9}-\frac{9}{7}\\=\frac{-98}{63}-\frac{81}{63}\\=\frac{-98-81}{63}\\=\frac{-179}{63}\)
11. \(+\left(\frac{-7}{-9}\right)+\left(\frac{12}{11}\right)\\= \frac{7}{9}+\frac{12}{11}\\=\frac{77}{99}+\frac{108}{99}\\=\frac{77+108}{99}\\=\frac{185}{99}\)
12. \(-\left(\frac{9}{-7}\right)+\left(\frac{-13}{-8}\right)\\= \frac{9}{7}+\frac{13}{8}\\=\frac{72}{56}+\frac{91}{56}\\=\frac{72+91}{56}\\=\frac{163}{56}\)