Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{-7}\right)+\left(\frac{-5}{4}\right)\\= \frac{-4}{7}-\frac{5}{4}\\=\frac{-16}{28}-\frac{35}{28}\\=\frac{-16-35}{28}\\=\frac{-51}{28}\)
2. \(-\left(\frac{-14}{-3}\right)-\left(\frac{8}{3}\right)\\= \frac{-14}{3}-\frac{8}{3}\\=\frac{-14-8}{3}\\=\frac{-22}{3}\)
3. \(-\left(\frac{-11}{4}\right)+\left(\frac{10}{-9}\right)\\= \frac{11}{4}-\frac{10}{9}\\=\frac{99}{36}-\frac{40}{36}\\=\frac{99-40}{36}\\=\frac{59}{36}\)
4. \(-\left(\frac{-11}{14}\right)-\left(\frac{15}{2}\right)\\= \frac{11}{14}-\frac{15}{2}\\=\frac{11-15}{14}\\=\frac{-4}{14}\\=\frac{-2}{7}\)
5. \(-\left(\frac{-10}{3}\right)-\left(\frac{3}{5}\right)\\= \frac{10}{3}-\frac{3}{5}\\=\frac{50}{15}-\frac{9}{15}\\=\frac{50-9}{15}\\=\frac{41}{15}\)
6. \(-\left(\frac{-11}{13}\right)+\left(\frac{-4}{-3}\right)\\= \frac{11}{13}+\frac{4}{3}\\=\frac{33}{39}+\frac{52}{39}\\=\frac{33+52}{39}\\=\frac{85}{39}\)
7. \(+\left(\frac{-4}{-5}\right)+\left(\frac{-8}{3}\right)\\= \frac{4}{5}-\frac{8}{3}\\=\frac{12}{15}-\frac{40}{15}\\=\frac{12-40}{15}\\=\frac{-28}{15}\)
8. \(-\left(\frac{10}{-3}\right)+\left(\frac{14}{3}\right)\\= \frac{10}{3}+\frac{14}{3}\\=\frac{10+14}{3}\\=\frac{24}{3}\\=\frac{8}{1}\)
9. \(-\left(\frac{-15}{7}\right)+\left(\frac{-5}{-11}\right)\\= \frac{15}{7}+\frac{5}{11}\\=\frac{165}{77}+\frac{35}{77}\\=\frac{165+35}{77}\\=\frac{200}{77}\)
10. \(-\left(\frac{-6}{5}\right)+\left(\frac{5}{-12}\right)\\= \frac{6}{5}-\frac{5}{12}\\=\frac{72}{60}-\frac{25}{60}\\=\frac{72-25}{60}\\=\frac{47}{60}\)
11. \(+\left(\frac{4}{-9}\right)+\left(\frac{14}{-9}\right)\\= \frac{-4}{9}-\frac{14}{9}\\=\frac{-4-14}{9}\\=\frac{-18}{9}\\=\frac{-2}{1}\)
12. \(-\left(\frac{14}{-3}\right)-\left(\frac{-4}{11}\right)\\= \frac{14}{3}+\frac{4}{11}\\=\frac{154}{33}+\frac{12}{33}\\=\frac{154+12}{33}\\=\frac{166}{33}\)