Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{-5}\right) -\left(\frac{4}{-4}\right) +\left(\frac{-8}{4}\right)\\= \frac{-3}{5}+ \frac{4}{4}-\frac{8}{4}\\=\frac{-3}{5}+\frac{1}{1}-\frac{2}{1}\\=\frac{-3+1-2}{5}\\=\frac{-4}{5}\)
2. \(-\left(\frac{-3}{-4}\right) -\left(\frac{-5}{-7}\right) +\left(\frac{-3}{5}\right)\\= \frac{-3}{4}- \frac{5}{7}-\frac{3}{5}\\=\frac{-105}{140}-\frac{100}{140}-\frac{84}{140}\\=\frac{-105-100-84}{140}\\=\frac{-289}{140}\)
3. \(+\left(\frac{-5}{6}\right) +\left(\frac{-10}{4}\right) +\left(\frac{-5}{6}\right)\\= \frac{-5}{6}- \frac{10}{4}-\frac{5}{6}\\=\frac{-5}{6}-\frac{5}{2}-\frac{5}{6}\\=\frac{-5-5-5}{6}\\=\frac{-15}{6}\\=\frac{-5}{2}\)
4. \(-\left(\frac{-8}{-3}\right) -\left(\frac{10}{10}\right) +\left(\frac{-4}{-9}\right)\\= \frac{-8}{3}- \frac{10}{10}+\frac{4}{9}\\=\frac{-8}{3}-\frac{1}{1}+\frac{4}{9}\\=\frac{-24}{9}-\frac{9}{9}+\frac{4}{9}\\=\frac{-24-9+4}{9}\\=\frac{-29}{9}\)
5. \(-\left(\frac{-8}{3}\right) -\left(\frac{-9}{-6}\right) +\left(\frac{7}{-12}\right)\\= \frac{8}{3}- \frac{9}{6}-\frac{7}{12}\\=\frac{8}{3}-\frac{3}{2}-\frac{7}{12}\\=\frac{32}{12}-\frac{18}{12}-\frac{7}{12}\\=\frac{32-18-7}{12}\\=\frac{7}{12}\)
6. \(-\left(\frac{5}{-2}\right) -\left(\frac{-10}{3}\right) -\left(\frac{-8}{9}\right)\\= \frac{5}{2}+ \frac{10}{3}+\frac{8}{9}\\=\frac{45}{18}+\frac{60}{18}+\frac{16}{18}\\=\frac{45+60+16}{18}\\=\frac{121}{18}\)
7. \(+\left(\frac{4}{3}\right) -\left(\frac{-5}{-8}\right) +\left(\frac{-5}{2}\right)\\= \frac{4}{3}- \frac{5}{8}-\frac{5}{2}\\=\frac{32}{24}-\frac{15}{24}-\frac{60}{24}\\=\frac{32-15-60}{24}\\=\frac{-43}{24}\)
8. \(+\left(\frac{-10}{7}\right) +\left(\frac{-2}{7}\right) +\left(\frac{12}{-4}\right)\\= \frac{-10}{7}- \frac{2}{7}-\frac{12}{4}\\=\frac{-10}{7}-\frac{2}{7}-\frac{3}{1}\\=\frac{-10-2-3}{7}\\=\frac{-15}{7}\)
9. \(-\left(\frac{5}{7}\right) -\left(\frac{8}{6}\right) +\left(\frac{5}{-12}\right)\\= \frac{-5}{7}- \frac{8}{6}-\frac{5}{12}\\=\frac{-5}{7}-\frac{4}{3}-\frac{5}{12}\\=\frac{-60}{84}-\frac{112}{84}-\frac{35}{84}\\=\frac{-60-112-35}{84}\\=\frac{-207}{84}\\=\frac{-69}{28}\)
10. \(-\left(\frac{6}{-5}\right) -\left(\frac{6}{10}\right) +\left(\frac{-2}{2}\right)\\= \frac{6}{5}- \frac{6}{10}-\frac{2}{2}\\=\frac{6}{5}-\frac{3}{5}-\frac{1}{1}\\=\frac{6-3-1}{5}\\=\frac{2}{5}\)
11. \(-\left(\frac{9}{2}\right) -\left(\frac{5}{-8}\right) +\left(\frac{-4}{-7}\right)\\= \frac{-9}{2}+ \frac{5}{8}+\frac{4}{7}\\=\frac{-252}{56}+\frac{35}{56}+\frac{32}{56}\\=\frac{-252+35+32}{56}\\=\frac{-185}{56}\)
12. \(+\left(\frac{-5}{7}\right) -\left(\frac{-6}{7}\right) -\left(\frac{-10}{2}\right)\\= \frac{-5}{7}+ \frac{6}{7}+\frac{10}{2}\\=\frac{-5}{7}+\frac{6}{7}+\frac{5}{1}\\=\frac{-5+6+5}{7}\\=\frac{6}{7}\)