Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{5}{11}\right)+\left(\frac{13}{-5}\right)\\= \frac{5}{11}-\frac{13}{5}\\=\frac{25}{55}-\frac{143}{55}\\=\frac{25-143}{55}\\=\frac{-118}{55}\)
2. \(-\left(\frac{12}{5}\right)-\left(\frac{3}{8}\right)\\= \frac{-12}{5}-\frac{3}{8}\\=\frac{-96}{40}-\frac{15}{40}\\=\frac{-96-15}{40}\\=\frac{-111}{40}\)
3. \(-\left(\frac{6}{-5}\right)+\left(\frac{13}{12}\right)\\= \frac{6}{5}+\frac{13}{12}\\=\frac{72}{60}+\frac{65}{60}\\=\frac{72+65}{60}\\=\frac{137}{60}\)
4. \(-\left(\frac{12}{-13}\right)-\left(\frac{-4}{3}\right)\\= \frac{12}{13}+\frac{4}{3}\\=\frac{36}{39}+\frac{52}{39}\\=\frac{36+52}{39}\\=\frac{88}{39}\)
5. \(-\left(\frac{13}{-9}\right)-\left(\frac{-4}{3}\right)\\= \frac{13}{9}+\frac{4}{3}\\=\frac{13+4}{9}\\=\frac{17}{9}\)
6. \(+\left(\frac{11}{-3}\right)+\left(\frac{-5}{11}\right)\\= \frac{-11}{3}-\frac{5}{11}\\=\frac{-121}{33}-\frac{15}{33}\\=\frac{-121-15}{33}\\=\frac{-136}{33}\)
7. \(-\left(\frac{14}{-3}\right)+\left(\frac{7}{-4}\right)\\= \frac{14}{3}-\frac{7}{4}\\=\frac{56}{12}-\frac{21}{12}\\=\frac{56-21}{12}\\=\frac{35}{12}\)
8. \(+\left(\frac{-7}{-3}\right)-\left(\frac{7}{-13}\right)\\= \frac{7}{3}+\frac{7}{13}\\=\frac{91}{39}+\frac{21}{39}\\=\frac{91+21}{39}\\=\frac{112}{39}\)
9. \(+\left(\frac{12}{-7}\right)+\left(\frac{6}{7}\right)\\= \frac{-12}{7}+\frac{6}{7}\\=\frac{-12+6}{7}\\=\frac{-6}{7}\)
10. \(+\left(\frac{13}{-7}\right)+\left(\frac{-7}{-2}\right)\\= \frac{-13}{7}+\frac{7}{2}\\=\frac{-26}{14}+\frac{49}{14}\\=\frac{-26+49}{14}\\=\frac{23}{14}\)
11. \(+\left(\frac{-12}{-11}\right)-\left(\frac{13}{-12}\right)\\= \frac{12}{11}+\frac{13}{12}\\=\frac{144}{132}+\frac{143}{132}\\=\frac{144+143}{132}\\=\frac{287}{132}\)
12. \(+\left(\frac{15}{-2}\right)+\left(\frac{-15}{13}\right)\\= \frac{-15}{2}-\frac{15}{13}\\=\frac{-195}{26}-\frac{30}{26}\\=\frac{-195-30}{26}\\=\frac{-225}{26}\)