Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{-9}\right)-\left(\frac{-9}{4}\right)\\= \frac{-11}{9}+\frac{9}{4}\\=\frac{-44}{36}+\frac{81}{36}\\=\frac{-44+81}{36}\\=\frac{37}{36}\)
2. \(+\left(\frac{8}{11}\right)-\left(\frac{8}{13}\right)\\= \frac{8}{11}-\frac{8}{13}\\=\frac{104}{143}-\frac{88}{143}\\=\frac{104-88}{143}\\=\frac{16}{143}\)
3. \(-\left(\frac{3}{-7}\right)-\left(\frac{-8}{-3}\right)\\= \frac{3}{7}-\frac{8}{3}\\=\frac{9}{21}-\frac{56}{21}\\=\frac{9-56}{21}\\=\frac{-47}{21}\)
4. \(-\left(\frac{7}{-13}\right)+\left(\frac{-11}{-10}\right)\\= \frac{7}{13}+\frac{11}{10}\\=\frac{70}{130}+\frac{143}{130}\\=\frac{70+143}{130}\\=\frac{213}{130}\)
5. \(+\left(\frac{-3}{-14}\right)+\left(\frac{-4}{3}\right)\\= \frac{3}{14}-\frac{4}{3}\\=\frac{9}{42}-\frac{56}{42}\\=\frac{9-56}{42}\\=\frac{-47}{42}\)
6. \(-\left(\frac{-9}{-7}\right)+\left(\frac{-3}{-14}\right)\\= \frac{-9}{7}+\frac{3}{14}\\=\frac{-18}{14}+\frac{3}{14}\\=\frac{-18+3}{14}\\=\frac{-15}{14}\)
7. \(-\left(\frac{6}{5}\right)+\left(\frac{14}{3}\right)\\= \frac{-6}{5}+\frac{14}{3}\\=\frac{-18}{15}+\frac{70}{15}\\=\frac{-18+70}{15}\\=\frac{52}{15}\)
8. \(+\left(\frac{-12}{11}\right)+\left(\frac{-4}{3}\right)\\= \frac{-12}{11}-\frac{4}{3}\\=\frac{-36}{33}-\frac{44}{33}\\=\frac{-36-44}{33}\\=\frac{-80}{33}\)
9. \(+\left(\frac{-8}{-9}\right)-\left(\frac{-11}{-12}\right)\\= \frac{8}{9}-\frac{11}{12}\\=\frac{32}{36}-\frac{33}{36}\\=\frac{32-33}{36}\\=\frac{-1}{36}\)
10. \(-\left(\frac{2}{5}\right)+\left(\frac{11}{14}\right)\\= \frac{-2}{5}+\frac{11}{14}\\=\frac{-28}{70}+\frac{55}{70}\\=\frac{-28+55}{70}\\=\frac{27}{70}\)
11. \(+\left(\frac{3}{4}\right)+\left(\frac{-15}{8}\right)\\= \frac{3}{4}-\frac{15}{8}\\=\frac{6}{8}-\frac{15}{8}\\=\frac{6-15}{8}\\=\frac{-9}{8}\)
12. \(+\left(\frac{8}{5}\right)+\left(\frac{7}{11}\right)\\= \frac{8}{5}+\frac{7}{11}\\=\frac{88}{55}+\frac{35}{55}\\=\frac{88+35}{55}\\=\frac{123}{55}\)