Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{10}{-7}\right) +\left(\frac{-6}{7}\right) -\left(\frac{-9}{-4}\right)\\= \frac{-10}{7}- \frac{6}{7}-\frac{9}{4}\\=\frac{-40}{28}-\frac{24}{28}-\frac{63}{28}\\=\frac{-40-24-63}{28}\\=\frac{-127}{28}\)
2. \(-\left(\frac{-10}{7}\right) +\left(\frac{4}{4}\right) +\left(\frac{11}{-6}\right)\\= \frac{10}{7}+ \frac{4}{4}-\frac{11}{6}\\=\frac{10}{7}+\frac{1}{1}-\frac{11}{6}\\=\frac{60}{42}+\frac{42}{42}-\frac{77}{42}\\=\frac{60+42-77}{42}\\=\frac{25}{42}\)
3. \(+\left(\frac{-4}{5}\right) +\left(\frac{-7}{-2}\right) -\left(\frac{10}{9}\right)\\= \frac{-4}{5}+ \frac{7}{2}-\frac{10}{9}\\=\frac{-72}{90}+\frac{315}{90}-\frac{100}{90}\\=\frac{-72+315-100}{90}\\=\frac{143}{90}\)
4. \(+\left(\frac{3}{-2}\right) -\left(\frac{5}{-4}\right) -\left(\frac{5}{-12}\right)\\= \frac{-3}{2}+ \frac{5}{4}+\frac{5}{12}\\=\frac{-18}{12}+\frac{15}{12}+\frac{5}{12}\\=\frac{-18+15+5}{12}\\=\frac{2}{12}\\=\frac{1}{6}\)
5. \(+\left(\frac{9}{-2}\right) -\left(\frac{10}{-9}\right) +\left(\frac{2}{8}\right)\\= \frac{-9}{2}+ \frac{10}{9}+\frac{2}{8}\\=\frac{-9}{2}+\frac{10}{9}+\frac{1}{4}\\=\frac{-162}{36}+\frac{40}{36}+\frac{9}{36}\\=\frac{-162+40+9}{36}\\=\frac{-113}{36}\)
6. \(+\left(\frac{4}{-3}\right) +\left(\frac{-3}{-2}\right) +\left(\frac{-10}{12}\right)\\= \frac{-4}{3}+ \frac{3}{2}-\frac{10}{12}\\=\frac{-4}{3}+\frac{3}{2}-\frac{5}{6}\\=\frac{-8}{6}+\frac{9}{6}-\frac{5}{6}\\=\frac{-8+9-5}{6}\\=\frac{-4}{6}\\=\frac{-2}{3}\)
7. \(+\left(\frac{9}{4}\right) -\left(\frac{10}{2}\right) +\left(\frac{7}{-6}\right)\\= \frac{9}{4}- \frac{10}{2}-\frac{7}{6}\\=\frac{9}{4}-\frac{5}{1}-\frac{7}{6}\\=\frac{27}{12}-\frac{60}{12}-\frac{14}{12}\\=\frac{27-60-14}{12}\\=\frac{-47}{12}\)
8. \(+\left(\frac{10}{-3}\right) -\left(\frac{9}{6}\right) +\left(\frac{-6}{12}\right)\\= \frac{-10}{3}- \frac{9}{6}-\frac{6}{12}\\=\frac{-10}{3}-\frac{3}{2}-\frac{1}{2}\\=\frac{-20}{6}-\frac{9}{6}-\frac{3}{6}\\=\frac{-20-9-3}{6}\\=\frac{-32}{6}\\=\frac{-16}{3}\)
9. \(-\left(\frac{-6}{-7}\right) +\left(\frac{-5}{-5}\right) -\left(\frac{5}{3}\right)\\= \frac{-6}{7}+ \frac{5}{5}-\frac{5}{3}\\=\frac{-6}{7}+\frac{1}{1}-\frac{5}{3}\\=\frac{-18}{21}+\frac{21}{21}-\frac{35}{21}\\=\frac{-18+21-35}{21}\\=\frac{-32}{21}\)
10. \(+\left(\frac{9}{4}\right) -\left(\frac{6}{6}\right) +\left(\frac{-3}{-3}\right)\\= \frac{9}{4}- \frac{6}{6}+\frac{3}{3}\\=\frac{9}{4}-\frac{1}{1}+\frac{1}{1}\\=\frac{9-1+1}{4}\\=\frac{9}{4}\)
11. \(-\left(\frac{10}{-7}\right) +\left(\frac{-10}{5}\right) -\left(\frac{-4}{3}\right)\\= \frac{10}{7}- \frac{10}{5}+\frac{4}{3}\\=\frac{10}{7}-\frac{2}{1}+\frac{4}{3}\\=\frac{30}{21}-\frac{42}{21}+\frac{28}{21}\\=\frac{30-42+28}{21}\\=\frac{16}{21}\)
12. \(-\left(\frac{9}{-7}\right) -\left(\frac{3}{-6}\right) +\left(\frac{-6}{8}\right)\\= \frac{9}{7}+ \frac{3}{6}-\frac{6}{8}\\=\frac{9}{7}+\frac{1}{2}-\frac{3}{4}\\=\frac{36}{28}+\frac{14}{28}-\frac{21}{28}\\=\frac{36+14-21}{28}\\=\frac{29}{28}\)