Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{13}{8}\right)+\left(\frac{8}{-5}\right)\\= \frac{13}{8}-\frac{8}{5}\\=\frac{65}{40}-\frac{64}{40}\\=\frac{65-64}{40}\\=\frac{1}{40}\)
2. \(+\left(\frac{-9}{8}\right)-\left(\frac{-13}{-9}\right)\\= \frac{-9}{8}-\frac{13}{9}\\=\frac{-81}{72}-\frac{104}{72}\\=\frac{-81-104}{72}\\=\frac{-185}{72}\)
3. \(-\left(\frac{-5}{-11}\right)+\left(\frac{-8}{13}\right)\\= \frac{-5}{11}-\frac{8}{13}\\=\frac{-65}{143}-\frac{88}{143}\\=\frac{-65-88}{143}\\=\frac{-153}{143}\)
4. \(-\left(\frac{-5}{11}\right)+\left(\frac{-2}{3}\right)\\= \frac{5}{11}-\frac{2}{3}\\=\frac{15}{33}-\frac{22}{33}\\=\frac{15-22}{33}\\=\frac{-7}{33}\)
5. \(+\left(\frac{6}{5}\right)-\left(\frac{2}{3}\right)\\= \frac{6}{5}-\frac{2}{3}\\=\frac{18}{15}-\frac{10}{15}\\=\frac{18-10}{15}\\=\frac{8}{15}\)
6. \(+\left(\frac{-13}{4}\right)-\left(\frac{-13}{11}\right)\\= \frac{-13}{4}+\frac{13}{11}\\=\frac{-143}{44}+\frac{52}{44}\\=\frac{-143+52}{44}\\=\frac{-91}{44}\)
7. \(-\left(\frac{-14}{9}\right)+\left(\frac{-8}{-3}\right)\\= \frac{14}{9}+\frac{8}{3}\\=\frac{14+8}{9}\\=\frac{22}{9}\)
8. \(+\left(\frac{6}{-11}\right)+\left(\frac{-15}{13}\right)\\= \frac{-6}{11}-\frac{15}{13}\\=\frac{-78}{143}-\frac{165}{143}\\=\frac{-78-165}{143}\\=\frac{-243}{143}\)
9. \(+\left(\frac{15}{-13}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-15}{13}-\frac{4}{3}\\=\frac{-45}{39}-\frac{52}{39}\\=\frac{-45-52}{39}\\=\frac{-97}{39}\)
10. \(+\left(\frac{7}{-4}\right)+\left(\frac{6}{5}\right)\\= \frac{-7}{4}+\frac{6}{5}\\=\frac{-35}{20}+\frac{24}{20}\\=\frac{-35+24}{20}\\=\frac{-11}{20}\)
11. \(-\left(\frac{12}{-13}\right)+\left(\frac{-3}{-8}\right)\\= \frac{12}{13}+\frac{3}{8}\\=\frac{96}{104}+\frac{39}{104}\\=\frac{96+39}{104}\\=\frac{135}{104}\)
12. \(-\left(\frac{-8}{5}\right)-\left(\frac{-12}{-11}\right)\\= \frac{8}{5}-\frac{12}{11}\\=\frac{88}{55}-\frac{60}{55}\\=\frac{88-60}{55}\\=\frac{28}{55}\)