Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{3}\right)-\left(\frac{13}{-5}\right)\\= \frac{-4}{3}+\frac{13}{5}\\=\frac{-20}{15}+\frac{39}{15}\\=\frac{-20+39}{15}\\=\frac{19}{15}\)
2. \(+\left(\frac{4}{-5}\right)+\left(\frac{6}{5}\right)\\= \frac{-4}{5}+\frac{6}{5}\\=\frac{-4+6}{5}\\=\frac{2}{5}\)
3. \(+\left(\frac{5}{-6}\right)-\left(\frac{-5}{2}\right)\\= \frac{-5}{6}+\frac{5}{2}\\=\frac{-5+5}{6}\\=\frac{0}{6}\\=\frac{0}{1}\)
4. \(-\left(\frac{-9}{13}\right)+\left(\frac{-3}{2}\right)\\= \frac{9}{13}-\frac{3}{2}\\=\frac{18}{26}-\frac{39}{26}\\=\frac{18-39}{26}\\=\frac{-21}{26}\)
5. \(-\left(\frac{-10}{-7}\right)+\left(\frac{12}{-11}\right)\\= \frac{-10}{7}-\frac{12}{11}\\=\frac{-110}{77}-\frac{84}{77}\\=\frac{-110-84}{77}\\=\frac{-194}{77}\)
6. \(+\left(\frac{11}{5}\right)+\left(\frac{-9}{-11}\right)\\= \frac{11}{5}+\frac{9}{11}\\=\frac{121}{55}+\frac{45}{55}\\=\frac{121+45}{55}\\=\frac{166}{55}\)
7. \(-\left(\frac{2}{-13}\right)+\left(\frac{8}{3}\right)\\= \frac{2}{13}+\frac{8}{3}\\=\frac{6}{39}+\frac{104}{39}\\=\frac{6+104}{39}\\=\frac{110}{39}\)
8. \(+\left(\frac{-7}{-6}\right)-\left(\frac{-6}{-11}\right)\\= \frac{7}{6}-\frac{6}{11}\\=\frac{77}{66}-\frac{36}{66}\\=\frac{77-36}{66}\\=\frac{41}{66}\)
9. \(+\left(\frac{-5}{-9}\right)+\left(\frac{-6}{-5}\right)\\= \frac{5}{9}+\frac{6}{5}\\=\frac{25}{45}+\frac{54}{45}\\=\frac{25+54}{45}\\=\frac{79}{45}\)
10. \(-\left(\frac{6}{13}\right)+\left(\frac{-10}{-11}\right)\\= \frac{-6}{13}+\frac{10}{11}\\=\frac{-66}{143}+\frac{130}{143}\\=\frac{-66+130}{143}\\=\frac{64}{143}\)
11. \(-\left(\frac{15}{-7}\right)-\left(\frac{-2}{11}\right)\\= \frac{15}{7}+\frac{2}{11}\\=\frac{165}{77}+\frac{14}{77}\\=\frac{165+14}{77}\\=\frac{179}{77}\)
12. \(+\left(\frac{-10}{-3}\right)-\left(\frac{-5}{-3}\right)\\= \frac{10}{3}-\frac{5}{3}\\=\frac{10-5}{3}\\=\frac{5}{3}\)