Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{11}\right)+\left(\frac{4}{9}\right)\\= \frac{-5}{11}+\frac{4}{9}\\=\frac{-45}{99}+\frac{44}{99}\\=\frac{-45+44}{99}\\=\frac{-1}{99}\)
2. \(-\left(\frac{-15}{-11}\right)+\left(\frac{10}{-7}\right)\\= \frac{-15}{11}-\frac{10}{7}\\=\frac{-105}{77}-\frac{110}{77}\\=\frac{-105-110}{77}\\=\frac{-215}{77}\)
3. \(-\left(\frac{10}{-9}\right)+\left(\frac{-3}{-4}\right)\\= \frac{10}{9}+\frac{3}{4}\\=\frac{40}{36}+\frac{27}{36}\\=\frac{40+27}{36}\\=\frac{67}{36}\)
4. \(-\left(\frac{-7}{-12}\right)+\left(\frac{6}{-5}\right)\\= \frac{-7}{12}-\frac{6}{5}\\=\frac{-35}{60}-\frac{72}{60}\\=\frac{-35-72}{60}\\=\frac{-107}{60}\)
5. \(+\left(\frac{-13}{-5}\right)-\left(\frac{8}{11}\right)\\= \frac{13}{5}-\frac{8}{11}\\=\frac{143}{55}-\frac{40}{55}\\=\frac{143-40}{55}\\=\frac{103}{55}\)
6. \(-\left(\frac{-2}{11}\right)-\left(\frac{4}{13}\right)\\= \frac{2}{11}-\frac{4}{13}\\=\frac{26}{143}-\frac{44}{143}\\=\frac{26-44}{143}\\=\frac{-18}{143}\)
7. \(-\left(\frac{11}{13}\right)+\left(\frac{-3}{-13}\right)\\= \frac{-11}{13}+\frac{3}{13}\\=\frac{-11+3}{13}\\=\frac{-8}{13}\)
8. \(+\left(\frac{-15}{-2}\right)-\left(\frac{13}{2}\right)\\= \frac{15}{2}-\frac{13}{2}\\=\frac{15-13}{2}\\=\frac{2}{2}\\=\frac{1}{1}\)
9. \(-\left(\frac{5}{-2}\right)-\left(\frac{2}{9}\right)\\= \frac{5}{2}-\frac{2}{9}\\=\frac{45}{18}-\frac{4}{18}\\=\frac{45-4}{18}\\=\frac{41}{18}\)
10. \(+\left(\frac{-3}{2}\right)+\left(\frac{-14}{3}\right)\\= \frac{-3}{2}-\frac{14}{3}\\=\frac{-9}{6}-\frac{28}{6}\\=\frac{-9-28}{6}\\=\frac{-37}{6}\)
11. \(-\left(\frac{13}{5}\right)+\left(\frac{11}{-14}\right)\\= \frac{-13}{5}-\frac{11}{14}\\=\frac{-182}{70}-\frac{55}{70}\\=\frac{-182-55}{70}\\=\frac{-237}{70}\)
12. \(-\left(\frac{-2}{3}\right)+\left(\frac{7}{2}\right)\\= \frac{2}{3}+\frac{7}{2}\\=\frac{4}{6}+\frac{21}{6}\\=\frac{4+21}{6}\\=\frac{25}{6}\)