Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{13}\right)-\left(\frac{6}{-13}\right)\\= \frac{2}{13}+\frac{6}{13}\\=\frac{2+6}{13}\\=\frac{8}{13}\)
2. \(-\left(\frac{11}{-12}\right)+\left(\frac{10}{-11}\right)\\= \frac{11}{12}-\frac{10}{11}\\=\frac{121}{132}-\frac{120}{132}\\=\frac{121-120}{132}\\=\frac{1}{132}\)
3. \(-\left(\frac{8}{3}\right)-\left(\frac{3}{7}\right)\\= \frac{-8}{3}-\frac{3}{7}\\=\frac{-56}{21}-\frac{9}{21}\\=\frac{-56-9}{21}\\=\frac{-65}{21}\)
4. \(-\left(\frac{-15}{7}\right)-\left(\frac{-7}{-12}\right)\\= \frac{15}{7}-\frac{7}{12}\\=\frac{180}{84}-\frac{49}{84}\\=\frac{180-49}{84}\\=\frac{131}{84}\)
5. \(-\left(\frac{-6}{-7}\right)+\left(\frac{-3}{4}\right)\\= \frac{-6}{7}-\frac{3}{4}\\=\frac{-24}{28}-\frac{21}{28}\\=\frac{-24-21}{28}\\=\frac{-45}{28}\)
6. \(+\left(\frac{-14}{9}\right)+\left(\frac{9}{-4}\right)\\= \frac{-14}{9}-\frac{9}{4}\\=\frac{-56}{36}-\frac{81}{36}\\=\frac{-56-81}{36}\\=\frac{-137}{36}\)
7. \(-\left(\frac{8}{7}\right)+\left(\frac{15}{-14}\right)\\= \frac{-8}{7}-\frac{15}{14}\\=\frac{-16}{14}-\frac{15}{14}\\=\frac{-16-15}{14}\\=\frac{-31}{14}\)
8. \(+\left(\frac{-12}{-5}\right)+\left(\frac{-8}{-3}\right)\\= \frac{12}{5}+\frac{8}{3}\\=\frac{36}{15}+\frac{40}{15}\\=\frac{36+40}{15}\\=\frac{76}{15}\)
9. \(-\left(\frac{-8}{-11}\right)-\left(\frac{-9}{13}\right)\\= \frac{-8}{11}+\frac{9}{13}\\=\frac{-104}{143}+\frac{99}{143}\\=\frac{-104+99}{143}\\=\frac{-5}{143}\)
10. \(-\left(\frac{-10}{-7}\right)-\left(\frac{15}{11}\right)\\= \frac{-10}{7}-\frac{15}{11}\\=\frac{-110}{77}-\frac{105}{77}\\=\frac{-110-105}{77}\\=\frac{-215}{77}\)
11. \(+\left(\frac{-10}{-3}\right)-\left(\frac{12}{5}\right)\\= \frac{10}{3}-\frac{12}{5}\\=\frac{50}{15}-\frac{36}{15}\\=\frac{50-36}{15}\\=\frac{14}{15}\)
12. \(-\left(\frac{-5}{-2}\right)+\left(\frac{-3}{7}\right)\\= \frac{-5}{2}-\frac{3}{7}\\=\frac{-35}{14}-\frac{6}{14}\\=\frac{-35-6}{14}\\=\frac{-41}{14}\)