Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{4}\right)-\left(\frac{4}{5}\right)\\= \frac{-7}{4}-\frac{4}{5}\\=\frac{-35}{20}-\frac{16}{20}\\=\frac{-35-16}{20}\\=\frac{-51}{20}\)
2. \(+\left(\frac{-9}{10}\right)+\left(\frac{-12}{5}\right)\\= \frac{-9}{10}-\frac{12}{5}\\=\frac{-9-12}{10}\\=\frac{-21}{10}\)
3. \(+\left(\frac{-11}{3}\right)+\left(\frac{-3}{14}\right)\\= \frac{-11}{3}-\frac{3}{14}\\=\frac{-154}{42}-\frac{9}{42}\\=\frac{-154-9}{42}\\=\frac{-163}{42}\)
4. \(+\left(\frac{6}{5}\right)+\left(\frac{-9}{2}\right)\\= \frac{6}{5}-\frac{9}{2}\\=\frac{12}{10}-\frac{45}{10}\\=\frac{12-45}{10}\\=\frac{-33}{10}\)
5. \(+\left(\frac{15}{-8}\right)-\left(\frac{-8}{11}\right)\\= \frac{-15}{8}+\frac{8}{11}\\=\frac{-165}{88}+\frac{64}{88}\\=\frac{-165+64}{88}\\=\frac{-101}{88}\)
6. \(-\left(\frac{-7}{-4}\right)+\left(\frac{15}{14}\right)\\= \frac{-7}{4}+\frac{15}{14}\\=\frac{-49}{28}+\frac{30}{28}\\=\frac{-49+30}{28}\\=\frac{-19}{28}\)
7. \(-\left(\frac{5}{7}\right)+\left(\frac{-15}{-14}\right)\\= \frac{-5}{7}+\frac{15}{14}\\=\frac{-10}{14}+\frac{15}{14}\\=\frac{-10+15}{14}\\=\frac{5}{14}\)
8. \(-\left(\frac{-9}{11}\right)+\left(\frac{15}{11}\right)\\= \frac{9}{11}+\frac{15}{11}\\=\frac{9+15}{11}\\=\frac{24}{11}\)
9. \(-\left(\frac{-6}{-7}\right)-\left(\frac{-15}{-4}\right)\\= \frac{-6}{7}-\frac{15}{4}\\=\frac{-24}{28}-\frac{105}{28}\\=\frac{-24-105}{28}\\=\frac{-129}{28}\)
10. \(-\left(\frac{11}{10}\right)+\left(\frac{12}{13}\right)\\= \frac{-11}{10}+\frac{12}{13}\\=\frac{-143}{130}+\frac{120}{130}\\=\frac{-143+120}{130}\\=\frac{-23}{130}\)
11. \(-\left(\frac{-14}{-11}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-14}{11}-\frac{13}{2}\\=\frac{-28}{22}-\frac{143}{22}\\=\frac{-28-143}{22}\\=\frac{-171}{22}\)
12. \(-\left(\frac{5}{-7}\right)+\left(\frac{10}{9}\right)\\= \frac{5}{7}+\frac{10}{9}\\=\frac{45}{63}+\frac{70}{63}\\=\frac{45+70}{63}\\=\frac{115}{63}\)