Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{-2}\right)-\left(\frac{-3}{-8}\right)\\= \frac{3}{2}-\frac{3}{8}\\=\frac{12}{8}-\frac{3}{8}\\=\frac{12-3}{8}\\=\frac{9}{8}\)
2. \(+\left(\frac{-8}{3}\right)-\left(\frac{-4}{11}\right)\\= \frac{-8}{3}+\frac{4}{11}\\=\frac{-88}{33}+\frac{12}{33}\\=\frac{-88+12}{33}\\=\frac{-76}{33}\)
3. \(+\left(\frac{-7}{-13}\right)+\left(\frac{-10}{-7}\right)\\= \frac{7}{13}+\frac{10}{7}\\=\frac{49}{91}+\frac{130}{91}\\=\frac{49+130}{91}\\=\frac{179}{91}\)
4. \(-\left(\frac{-12}{-5}\right)+\left(\frac{-9}{7}\right)\\= \frac{-12}{5}-\frac{9}{7}\\=\frac{-84}{35}-\frac{45}{35}\\=\frac{-84-45}{35}\\=\frac{-129}{35}\)
5. \(-\left(\frac{6}{-13}\right)-\left(\frac{-4}{13}\right)\\= \frac{6}{13}+\frac{4}{13}\\=\frac{6+4}{13}\\=\frac{10}{13}\)
6. \(-\left(\frac{7}{13}\right)+\left(\frac{-8}{3}\right)\\= \frac{-7}{13}-\frac{8}{3}\\=\frac{-21}{39}-\frac{104}{39}\\=\frac{-21-104}{39}\\=\frac{-125}{39}\)
7. \(-\left(\frac{-5}{-13}\right)+\left(\frac{-5}{-6}\right)\\= \frac{-5}{13}+\frac{5}{6}\\=\frac{-30}{78}+\frac{65}{78}\\=\frac{-30+65}{78}\\=\frac{35}{78}\)
8. \(-\left(\frac{15}{11}\right)-\left(\frac{4}{-7}\right)\\= \frac{-15}{11}+\frac{4}{7}\\=\frac{-105}{77}+\frac{44}{77}\\=\frac{-105+44}{77}\\=\frac{-61}{77}\)
9. \(-\left(\frac{9}{-8}\right)+\left(\frac{-4}{9}\right)\\= \frac{9}{8}-\frac{4}{9}\\=\frac{81}{72}-\frac{32}{72}\\=\frac{81-32}{72}\\=\frac{49}{72}\)
10. \(-\left(\frac{12}{5}\right)-\left(\frac{9}{-5}\right)\\= \frac{-12}{5}+\frac{9}{5}\\=\frac{-12+9}{5}\\=\frac{-3}{5}\)
11. \(-\left(\frac{4}{-13}\right)-\left(\frac{-14}{11}\right)\\= \frac{4}{13}+\frac{14}{11}\\=\frac{44}{143}+\frac{182}{143}\\=\frac{44+182}{143}\\=\frac{226}{143}\)
12. \(-\left(\frac{-7}{6}\right)+\left(\frac{10}{9}\right)\\= \frac{7}{6}+\frac{10}{9}\\=\frac{21}{18}+\frac{20}{18}\\=\frac{21+20}{18}\\=\frac{41}{18}\)