Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{-8}\right)+\left(\frac{8}{7}\right)\\= \frac{5}{8}+\frac{8}{7}\\=\frac{35}{56}+\frac{64}{56}\\=\frac{35+64}{56}\\=\frac{99}{56}\)
2. \(-\left(\frac{12}{11}\right)-\left(\frac{7}{-2}\right)\\= \frac{-12}{11}+\frac{7}{2}\\=\frac{-24}{22}+\frac{77}{22}\\=\frac{-24+77}{22}\\=\frac{53}{22}\)
3. \(+\left(\frac{4}{-3}\right)-\left(\frac{10}{11}\right)\\= \frac{-4}{3}-\frac{10}{11}\\=\frac{-44}{33}-\frac{30}{33}\\=\frac{-44-30}{33}\\=\frac{-74}{33}\)
4. \(+\left(\frac{14}{-3}\right)+\left(\frac{-2}{13}\right)\\= \frac{-14}{3}-\frac{2}{13}\\=\frac{-182}{39}-\frac{6}{39}\\=\frac{-182-6}{39}\\=\frac{-188}{39}\)
5. \(+\left(\frac{-7}{8}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-7}{8}-\frac{12}{5}\\=\frac{-35}{40}-\frac{96}{40}\\=\frac{-35-96}{40}\\=\frac{-131}{40}\)
6. \(-\left(\frac{4}{7}\right)-\left(\frac{-13}{-7}\right)\\= \frac{-4}{7}-\frac{13}{7}\\=\frac{-4-13}{7}\\=\frac{-17}{7}\)
7. \(+\left(\frac{9}{2}\right)-\left(\frac{-15}{8}\right)\\= \frac{9}{2}+\frac{15}{8}\\=\frac{36}{8}+\frac{15}{8}\\=\frac{36+15}{8}\\=\frac{51}{8}\)
8. \(-\left(\frac{-10}{7}\right)+\left(\frac{4}{9}\right)\\= \frac{10}{7}+\frac{4}{9}\\=\frac{90}{63}+\frac{28}{63}\\=\frac{90+28}{63}\\=\frac{118}{63}\)
9. \(+\left(\frac{-2}{-3}\right)+\left(\frac{9}{-2}\right)\\= \frac{2}{3}-\frac{9}{2}\\=\frac{4}{6}-\frac{27}{6}\\=\frac{4-27}{6}\\=\frac{-23}{6}\)
10. \(+\left(\frac{10}{-7}\right)+\left(\frac{2}{-3}\right)\\= \frac{-10}{7}-\frac{2}{3}\\=\frac{-30}{21}-\frac{14}{21}\\=\frac{-30-14}{21}\\=\frac{-44}{21}\)
11. \(-\left(\frac{9}{-2}\right)+\left(\frac{2}{13}\right)\\= \frac{9}{2}+\frac{2}{13}\\=\frac{117}{26}+\frac{4}{26}\\=\frac{117+4}{26}\\=\frac{121}{26}\)
12. \(+\left(\frac{-5}{-9}\right)-\left(\frac{3}{-5}\right)\\= \frac{5}{9}+\frac{3}{5}\\=\frac{25}{45}+\frac{27}{45}\\=\frac{25+27}{45}\\=\frac{52}{45}\)