Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{3}\right)-\left(\frac{2}{5}\right)\\= \frac{4}{3}-\frac{2}{5}\\=\frac{20}{15}-\frac{6}{15}\\=\frac{20-6}{15}\\=\frac{14}{15}\)
2. \(-\left(\frac{-5}{-2}\right)-\left(\frac{6}{5}\right)\\= \frac{-5}{2}-\frac{6}{5}\\=\frac{-25}{10}-\frac{12}{10}\\=\frac{-25-12}{10}\\=\frac{-37}{10}\)
3. \(+\left(\frac{15}{-13}\right)+\left(\frac{-8}{7}\right)\\= \frac{-15}{13}-\frac{8}{7}\\=\frac{-105}{91}-\frac{104}{91}\\=\frac{-105-104}{91}\\=\frac{-209}{91}\)
4. \(-\left(\frac{9}{-10}\right)+\left(\frac{5}{4}\right)\\= \frac{9}{10}+\frac{5}{4}\\=\frac{18}{20}+\frac{25}{20}\\=\frac{18+25}{20}\\=\frac{43}{20}\)
5. \(-\left(\frac{-9}{7}\right)-\left(\frac{-10}{-13}\right)\\= \frac{9}{7}-\frac{10}{13}\\=\frac{117}{91}-\frac{70}{91}\\=\frac{117-70}{91}\\=\frac{47}{91}\)
6. \(-\left(\frac{-15}{4}\right)-\left(\frac{-15}{4}\right)\\= \frac{15}{4}+\frac{15}{4}\\=\frac{15+15}{4}\\=\frac{30}{4}\\=\frac{15}{2}\)
7. \(+\left(\frac{-14}{11}\right)-\left(\frac{-5}{14}\right)\\= \frac{-14}{11}+\frac{5}{14}\\=\frac{-196}{154}+\frac{55}{154}\\=\frac{-196+55}{154}\\=\frac{-141}{154}\)
8. \(-\left(\frac{-3}{-7}\right)+\left(\frac{-11}{-6}\right)\\= \frac{-3}{7}+\frac{11}{6}\\=\frac{-18}{42}+\frac{77}{42}\\=\frac{-18+77}{42}\\=\frac{59}{42}\)
9. \(-\left(\frac{12}{-7}\right)+\left(\frac{11}{-6}\right)\\= \frac{12}{7}-\frac{11}{6}\\=\frac{72}{42}-\frac{77}{42}\\=\frac{72-77}{42}\\=\frac{-5}{42}\)
10. \(+\left(\frac{6}{-5}\right)+\left(\frac{-5}{7}\right)\\= \frac{-6}{5}-\frac{5}{7}\\=\frac{-42}{35}-\frac{25}{35}\\=\frac{-42-25}{35}\\=\frac{-67}{35}\)
11. \(+\left(\frac{-7}{9}\right)+\left(\frac{4}{-7}\right)\\= \frac{-7}{9}-\frac{4}{7}\\=\frac{-49}{63}-\frac{36}{63}\\=\frac{-49-36}{63}\\=\frac{-85}{63}\)
12. \(+\left(\frac{-5}{4}\right)+\left(\frac{-11}{-14}\right)\\= \frac{-5}{4}+\frac{11}{14}\\=\frac{-35}{28}+\frac{22}{28}\\=\frac{-35+22}{28}\\=\frac{-13}{28}\)