Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{11}\right)+\left(\frac{-14}{5}\right)\\= \frac{2}{11}-\frac{14}{5}\\=\frac{10}{55}-\frac{154}{55}\\=\frac{10-154}{55}\\=\frac{-144}{55}\)
2. \(-\left(\frac{11}{2}\right)+\left(\frac{-9}{-4}\right)\\= \frac{-11}{2}+\frac{9}{4}\\=\frac{-22}{4}+\frac{9}{4}\\=\frac{-22+9}{4}\\=\frac{-13}{4}\)
3. \(-\left(\frac{13}{-11}\right)-\left(\frac{2}{-7}\right)\\= \frac{13}{11}+\frac{2}{7}\\=\frac{91}{77}+\frac{22}{77}\\=\frac{91+22}{77}\\=\frac{113}{77}\)
4. \(-\left(\frac{-12}{-5}\right)-\left(\frac{-2}{9}\right)\\= \frac{-12}{5}+\frac{2}{9}\\=\frac{-108}{45}+\frac{10}{45}\\=\frac{-108+10}{45}\\=\frac{-98}{45}\)
5. \(+\left(\frac{4}{9}\right)+\left(\frac{2}{3}\right)\\= \frac{4}{9}+\frac{2}{3}\\=\frac{4+2}{9}\\=\frac{6}{9}\\=\frac{2}{3}\)
6. \(-\left(\frac{2}{-9}\right)-\left(\frac{-8}{9}\right)\\= \frac{2}{9}+\frac{8}{9}\\=\frac{2+8}{9}\\=\frac{10}{9}\)
7. \(+\left(\frac{9}{-2}\right)+\left(\frac{14}{9}\right)\\= \frac{-9}{2}+\frac{14}{9}\\=\frac{-81}{18}+\frac{28}{18}\\=\frac{-81+28}{18}\\=\frac{-53}{18}\)
8. \(-\left(\frac{-9}{13}\right)+\left(\frac{-14}{9}\right)\\= \frac{9}{13}-\frac{14}{9}\\=\frac{81}{117}-\frac{182}{117}\\=\frac{81-182}{117}\\=\frac{-101}{117}\)
9. \(+\left(\frac{2}{9}\right)-\left(\frac{15}{-7}\right)\\= \frac{2}{9}+\frac{15}{7}\\=\frac{14}{63}+\frac{135}{63}\\=\frac{14+135}{63}\\=\frac{149}{63}\)
10. \(+\left(\frac{15}{11}\right)+\left(\frac{9}{-8}\right)\\= \frac{15}{11}-\frac{9}{8}\\=\frac{120}{88}-\frac{99}{88}\\=\frac{120-99}{88}\\=\frac{21}{88}\)
11. \(+\left(\frac{14}{-9}\right)-\left(\frac{8}{11}\right)\\= \frac{-14}{9}-\frac{8}{11}\\=\frac{-154}{99}-\frac{72}{99}\\=\frac{-154-72}{99}\\=\frac{-226}{99}\)
12. \(+\left(\frac{-4}{7}\right)+\left(\frac{-5}{12}\right)\\= \frac{-4}{7}-\frac{5}{12}\\=\frac{-48}{84}-\frac{35}{84}\\=\frac{-48-35}{84}\\=\frac{-83}{84}\)