Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-13}{-12}\right)+\left(\frac{-10}{7}\right)\\= \frac{13}{12}-\frac{10}{7}\\=\frac{91}{84}-\frac{120}{84}\\=\frac{91-120}{84}\\=\frac{-29}{84}\)
2. \(-\left(\frac{2}{-5}\right)-\left(\frac{-9}{2}\right)\\= \frac{2}{5}+\frac{9}{2}\\=\frac{4}{10}+\frac{45}{10}\\=\frac{4+45}{10}\\=\frac{49}{10}\)
3. \(+\left(\frac{-14}{-3}\right)+\left(\frac{-8}{3}\right)\\= \frac{14}{3}-\frac{8}{3}\\=\frac{14-8}{3}\\=\frac{6}{3}\\=\frac{2}{1}\)
4. \(-\left(\frac{6}{11}\right)+\left(\frac{-9}{-8}\right)\\= \frac{-6}{11}+\frac{9}{8}\\=\frac{-48}{88}+\frac{99}{88}\\=\frac{-48+99}{88}\\=\frac{51}{88}\)
5. \(-\left(\frac{-14}{-9}\right)-\left(\frac{2}{-7}\right)\\= \frac{-14}{9}+\frac{2}{7}\\=\frac{-98}{63}+\frac{18}{63}\\=\frac{-98+18}{63}\\=\frac{-80}{63}\)
6. \(+\left(\frac{-13}{12}\right)+\left(\frac{-12}{-5}\right)\\= \frac{-13}{12}+\frac{12}{5}\\=\frac{-65}{60}+\frac{144}{60}\\=\frac{-65+144}{60}\\=\frac{79}{60}\)
7. \(+\left(\frac{12}{5}\right)-\left(\frac{-8}{5}\right)\\= \frac{12}{5}+\frac{8}{5}\\=\frac{12+8}{5}\\=\frac{20}{5}\\=\frac{4}{1}\)
8. \(+\left(\frac{14}{-9}\right)-\left(\frac{-12}{11}\right)\\= \frac{-14}{9}+\frac{12}{11}\\=\frac{-154}{99}+\frac{108}{99}\\=\frac{-154+108}{99}\\=\frac{-46}{99}\)
9. \(+\left(\frac{3}{4}\right)-\left(\frac{-14}{5}\right)\\= \frac{3}{4}+\frac{14}{5}\\=\frac{15}{20}+\frac{56}{20}\\=\frac{15+56}{20}\\=\frac{71}{20}\)
10. \(+\left(\frac{-8}{-9}\right)+\left(\frac{-3}{13}\right)\\= \frac{8}{9}-\frac{3}{13}\\=\frac{104}{117}-\frac{27}{117}\\=\frac{104-27}{117}\\=\frac{77}{117}\)
11. \(+\left(\frac{-14}{9}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-14}{9}-\frac{2}{3}\\=\frac{-14-2}{9}\\=\frac{-16}{9}\)
12. \(+\left(\frac{-7}{-11}\right)+\left(\frac{2}{-5}\right)\\= \frac{7}{11}-\frac{2}{5}\\=\frac{35}{55}-\frac{22}{55}\\=\frac{35-22}{55}\\=\frac{13}{55}\)