Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-14}{5}\right)+\left(\frac{-4}{-7}\right)\\= \frac{14}{5}+\frac{4}{7}\\=\frac{98}{35}+\frac{20}{35}\\=\frac{98+20}{35}\\=\frac{118}{35}\)
2. \(+\left(\frac{-3}{-5}\right)-\left(\frac{15}{11}\right)\\= \frac{3}{5}-\frac{15}{11}\\=\frac{33}{55}-\frac{75}{55}\\=\frac{33-75}{55}\\=\frac{-42}{55}\)
3. \(+\left(\frac{-4}{3}\right)-\left(\frac{8}{3}\right)\\= \frac{-4}{3}-\frac{8}{3}\\=\frac{-4-8}{3}\\=\frac{-12}{3}\\=\frac{-4}{1}\)
4. \(+\left(\frac{13}{-11}\right)+\left(\frac{-5}{6}\right)\\= \frac{-13}{11}-\frac{5}{6}\\=\frac{-78}{66}-\frac{55}{66}\\=\frac{-78-55}{66}\\=\frac{-133}{66}\)
5. \(+\left(\frac{-12}{-5}\right)-\left(\frac{-4}{5}\right)\\= \frac{12}{5}+\frac{4}{5}\\=\frac{12+4}{5}\\=\frac{16}{5}\)
6. \(-\left(\frac{-2}{7}\right)-\left(\frac{-13}{-4}\right)\\= \frac{2}{7}-\frac{13}{4}\\=\frac{8}{28}-\frac{91}{28}\\=\frac{8-91}{28}\\=\frac{-83}{28}\)
7. \(+\left(\frac{-3}{2}\right)+\left(\frac{2}{11}\right)\\= \frac{-3}{2}+\frac{2}{11}\\=\frac{-33}{22}+\frac{4}{22}\\=\frac{-33+4}{22}\\=\frac{-29}{22}\)
8. \(+\left(\frac{3}{-4}\right)+\left(\frac{-2}{5}\right)\\= \frac{-3}{4}-\frac{2}{5}\\=\frac{-15}{20}-\frac{8}{20}\\=\frac{-15-8}{20}\\=\frac{-23}{20}\)
9. \(-\left(\frac{10}{3}\right)+\left(\frac{-7}{-2}\right)\\= \frac{-10}{3}+\frac{7}{2}\\=\frac{-20}{6}+\frac{21}{6}\\=\frac{-20+21}{6}\\=\frac{1}{6}\)
10. \(-\left(\frac{-15}{-4}\right)+\left(\frac{13}{7}\right)\\= \frac{-15}{4}+\frac{13}{7}\\=\frac{-105}{28}+\frac{52}{28}\\=\frac{-105+52}{28}\\=\frac{-53}{28}\)
11. \(-\left(\frac{-8}{11}\right)-\left(\frac{3}{-13}\right)\\= \frac{8}{11}+\frac{3}{13}\\=\frac{104}{143}+\frac{33}{143}\\=\frac{104+33}{143}\\=\frac{137}{143}\)
12. \(-\left(\frac{3}{-7}\right)-\left(\frac{14}{13}\right)\\= \frac{3}{7}-\frac{14}{13}\\=\frac{39}{91}-\frac{98}{91}\\=\frac{39-98}{91}\\=\frac{-59}{91}\)