Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-4}{3}\right)+\left(\frac{-2}{-3}\right)\\= \frac{4}{3}+\frac{2}{3}\\=\frac{4+2}{3}\\=\frac{6}{3}\\=\frac{2}{1}\)
2. \(+\left(\frac{15}{-13}\right)+\left(\frac{14}{-3}\right)\\= \frac{-15}{13}-\frac{14}{3}\\=\frac{-45}{39}-\frac{182}{39}\\=\frac{-45-182}{39}\\=\frac{-227}{39}\)
3. \(-\left(\frac{5}{4}\right)+\left(\frac{-9}{4}\right)\\= \frac{-5}{4}-\frac{9}{4}\\=\frac{-5-9}{4}\\=\frac{-14}{4}\\=\frac{-7}{2}\)
4. \(-\left(\frac{13}{-5}\right)+\left(\frac{-8}{-7}\right)\\= \frac{13}{5}+\frac{8}{7}\\=\frac{91}{35}+\frac{40}{35}\\=\frac{91+40}{35}\\=\frac{131}{35}\)
5. \(+\left(\frac{3}{-11}\right)+\left(\frac{3}{13}\right)\\= \frac{-3}{11}+\frac{3}{13}\\=\frac{-39}{143}+\frac{33}{143}\\=\frac{-39+33}{143}\\=\frac{-6}{143}\)
6. \(-\left(\frac{-13}{9}\right)-\left(\frac{-8}{3}\right)\\= \frac{13}{9}+\frac{8}{3}\\=\frac{13+8}{9}\\=\frac{21}{9}\\=\frac{7}{3}\)
7. \(-\left(\frac{-14}{-3}\right)+\left(\frac{-15}{-7}\right)\\= \frac{-14}{3}+\frac{15}{7}\\=\frac{-98}{21}+\frac{45}{21}\\=\frac{-98+45}{21}\\=\frac{-53}{21}\)
8. \(-\left(\frac{-8}{9}\right)+\left(\frac{-4}{-7}\right)\\= \frac{8}{9}+\frac{4}{7}\\=\frac{56}{63}+\frac{36}{63}\\=\frac{56+36}{63}\\=\frac{92}{63}\)
9. \(-\left(\frac{-14}{5}\right)+\left(\frac{8}{3}\right)\\= \frac{14}{5}+\frac{8}{3}\\=\frac{42}{15}+\frac{40}{15}\\=\frac{42+40}{15}\\=\frac{82}{15}\)
10. \(-\left(\frac{-12}{-5}\right)-\left(\frac{9}{8}\right)\\= \frac{-12}{5}-\frac{9}{8}\\=\frac{-96}{40}-\frac{45}{40}\\=\frac{-96-45}{40}\\=\frac{-141}{40}\)
11. \(+\left(\frac{5}{6}\right)+\left(\frac{-13}{-10}\right)\\= \frac{5}{6}+\frac{13}{10}\\=\frac{25}{30}+\frac{39}{30}\\=\frac{25+39}{30}\\=\frac{64}{30}\\=\frac{32}{15}\)
12. \(-\left(\frac{-15}{-2}\right)+\left(\frac{-3}{13}\right)\\= \frac{-15}{2}-\frac{3}{13}\\=\frac{-195}{26}-\frac{6}{26}\\=\frac{-195-6}{26}\\=\frac{-201}{26}\)