Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{9}\right) +\left(\frac{-4}{4}\right) -\left(\frac{11}{10}\right)\\= \frac{-4}{9}- \frac{4}{4}-\frac{11}{10}\\=\frac{-4}{9}-\frac{1}{1}-\frac{11}{10}\\=\frac{-40}{90}-\frac{90}{90}-\frac{99}{90}\\=\frac{-40-90-99}{90}\\=\frac{-229}{90}\)
2. \(+\left(\frac{3}{-5}\right) +\left(\frac{-4}{2}\right) -\left(\frac{12}{2}\right)\\= \frac{-3}{5}- \frac{4}{2}-\frac{12}{2}\\=\frac{-3}{5}-\frac{2}{1}-\frac{6}{1}\\=\frac{-3-2-6}{5}\\=\frac{-11}{5}\)
3. \(+\left(\frac{7}{8}\right) -\left(\frac{7}{2}\right) +\left(\frac{6}{-5}\right)\\= \frac{7}{8}- \frac{7}{2}-\frac{6}{5}\\=\frac{35}{40}-\frac{140}{40}-\frac{48}{40}\\=\frac{35-140-48}{40}\\=\frac{-153}{40}\)
4. \(+\left(\frac{2}{7}\right) +\left(\frac{2}{-2}\right) +\left(\frac{6}{-12}\right)\\= \frac{2}{7}- \frac{2}{2}-\frac{6}{12}\\=\frac{2}{7}-\frac{1}{1}-\frac{1}{2}\\=\frac{4}{14}-\frac{14}{14}-\frac{7}{14}\\=\frac{4-14-7}{14}\\=\frac{-17}{14}\)
5. \(+\left(\frac{-9}{-7}\right) +\left(\frac{-5}{8}\right) -\left(\frac{-10}{-2}\right)\\= \frac{9}{7}- \frac{5}{8}-\frac{10}{2}\\=\frac{9}{7}-\frac{5}{8}-\frac{5}{1}\\=\frac{72}{56}-\frac{35}{56}-\frac{280}{56}\\=\frac{72-35-280}{56}\\=\frac{-243}{56}\)
6. \(-\left(\frac{-6}{7}\right) -\left(\frac{8}{-8}\right) -\left(\frac{-8}{-12}\right)\\= \frac{6}{7}+ \frac{8}{8}-\frac{8}{12}\\=\frac{6}{7}+\frac{1}{1}-\frac{2}{3}\\=\frac{18}{21}+\frac{21}{21}-\frac{14}{21}\\=\frac{18+21-14}{21}\\=\frac{25}{21}\)
7. \(+\left(\frac{-5}{-2}\right) +\left(\frac{2}{-9}\right) -\left(\frac{10}{10}\right)\\= \frac{5}{2}- \frac{2}{9}-\frac{10}{10}\\=\frac{5}{2}-\frac{2}{9}-\frac{1}{1}\\=\frac{45}{18}-\frac{4}{18}-\frac{18}{18}\\=\frac{45-4-18}{18}\\=\frac{23}{18}\)
8. \(-\left(\frac{9}{-2}\right) -\left(\frac{-2}{7}\right) +\left(\frac{-7}{11}\right)\\= \frac{9}{2}+ \frac{2}{7}-\frac{7}{11}\\=\frac{693}{154}+\frac{44}{154}-\frac{98}{154}\\=\frac{693+44-98}{154}\\=\frac{639}{154}\)
9. \(+\left(\frac{-10}{-3}\right) +\left(\frac{9}{-8}\right) +\left(\frac{-5}{-9}\right)\\= \frac{10}{3}- \frac{9}{8}+\frac{5}{9}\\=\frac{240}{72}-\frac{81}{72}+\frac{40}{72}\\=\frac{240-81+40}{72}\\=\frac{199}{72}\)
10. \(-\left(\frac{-6}{5}\right) -\left(\frac{-3}{-7}\right) -\left(\frac{-10}{12}\right)\\= \frac{6}{5}- \frac{3}{7}+\frac{10}{12}\\=\frac{6}{5}-\frac{3}{7}+\frac{5}{6}\\=\frac{252}{210}-\frac{90}{210}+\frac{175}{210}\\=\frac{252-90+175}{210}\\=\frac{337}{210}\)
11. \(-\left(\frac{2}{-3}\right) -\left(\frac{-8}{-2}\right) +\left(\frac{5}{-7}\right)\\= \frac{2}{3}- \frac{8}{2}-\frac{5}{7}\\=\frac{2}{3}-\frac{4}{1}-\frac{5}{7}\\=\frac{14}{21}-\frac{84}{21}-\frac{15}{21}\\=\frac{14-84-15}{21}\\=\frac{-85}{21}\)
12. \(+\left(\frac{7}{4}\right) -\left(\frac{-5}{2}\right) +\left(\frac{-10}{-5}\right)\\= \frac{7}{4}+ \frac{5}{2}+\frac{10}{5}\\=\frac{7}{4}+\frac{5}{2}+\frac{2}{1}\\=\frac{7+5+2}{4}\\=\frac{14}{4}\\=\frac{7}{2}\)