Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{13}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-15}{13}+\frac{6}{11}\\=\frac{-165}{143}+\frac{78}{143}\\=\frac{-165+78}{143}\\=\frac{-87}{143}\)
2. \(-\left(\frac{9}{-2}\right)+\left(\frac{7}{-6}\right)\\= \frac{9}{2}-\frac{7}{6}\\=\frac{27}{6}-\frac{7}{6}\\=\frac{27-7}{6}\\=\frac{20}{6}\\=\frac{10}{3}\)
3. \(-\left(\frac{-9}{11}\right)+\left(\frac{12}{-5}\right)\\= \frac{9}{11}-\frac{12}{5}\\=\frac{45}{55}-\frac{132}{55}\\=\frac{45-132}{55}\\=\frac{-87}{55}\)
4. \(+\left(\frac{8}{-3}\right)-\left(\frac{11}{12}\right)\\= \frac{-8}{3}-\frac{11}{12}\\=\frac{-32}{12}-\frac{11}{12}\\=\frac{-32-11}{12}\\=\frac{-43}{12}\)
5. \(+\left(\frac{-13}{-8}\right)-\left(\frac{-12}{5}\right)\\= \frac{13}{8}+\frac{12}{5}\\=\frac{65}{40}+\frac{96}{40}\\=\frac{65+96}{40}\\=\frac{161}{40}\)
6. \(+\left(\frac{9}{-13}\right)+\left(\frac{13}{2}\right)\\= \frac{-9}{13}+\frac{13}{2}\\=\frac{-18}{26}+\frac{169}{26}\\=\frac{-18+169}{26}\\=\frac{151}{26}\)
7. \(-\left(\frac{-12}{-5}\right)-\left(\frac{11}{-14}\right)\\= \frac{-12}{5}+\frac{11}{14}\\=\frac{-168}{70}+\frac{55}{70}\\=\frac{-168+55}{70}\\=\frac{-113}{70}\)
8. \(+\left(\frac{9}{10}\right)+\left(\frac{12}{-5}\right)\\= \frac{9}{10}-\frac{12}{5}\\=\frac{9-12}{10}\\=\frac{-3}{10}\)
9. \(-\left(\frac{-2}{13}\right)-\left(\frac{-7}{8}\right)\\= \frac{2}{13}+\frac{7}{8}\\=\frac{16}{104}+\frac{91}{104}\\=\frac{16+91}{104}\\=\frac{107}{104}\)
10. \(-\left(\frac{6}{5}\right)+\left(\frac{2}{-7}\right)\\= \frac{-6}{5}-\frac{2}{7}\\=\frac{-42}{35}-\frac{10}{35}\\=\frac{-42-10}{35}\\=\frac{-52}{35}\)
11. \(-\left(\frac{2}{13}\right)-\left(\frac{-8}{5}\right)\\= \frac{-2}{13}+\frac{8}{5}\\=\frac{-10}{65}+\frac{104}{65}\\=\frac{-10+104}{65}\\=\frac{94}{65}\)
12. \(+\left(\frac{11}{-14}\right)-\left(\frac{-10}{-9}\right)\\= \frac{-11}{14}-\frac{10}{9}\\=\frac{-99}{126}-\frac{140}{126}\\=\frac{-99-140}{126}\\=\frac{-239}{126}\)