Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-6}{5}\right) +\left(\frac{-9}{-9}\right) +\left(\frac{12}{10}\right)\\= \frac{-6}{5}+ \frac{9}{9}+\frac{12}{10}\\=\frac{-6}{5}+\frac{1}{1}+\frac{6}{5}\\=\frac{-6+1+6}{5}\\=\frac{1}{5}\)
2. \(+\left(\frac{4}{-3}\right) +\left(\frac{2}{-9}\right) -\left(\frac{12}{-9}\right)\\= \frac{-4}{3}- \frac{2}{9}+\frac{12}{9}\\=\frac{-4}{3}-\frac{2}{9}+\frac{4}{3}\\=\frac{-12}{9}-\frac{2}{9}+\frac{12}{9}\\=\frac{-12-2+12}{9}\\=\frac{-2}{9}\)
3. \(-\left(\frac{8}{3}\right) +\left(\frac{-7}{9}\right) -\left(\frac{-10}{3}\right)\\= \frac{-8}{3}- \frac{7}{9}+\frac{10}{3}\\=\frac{-24}{9}-\frac{7}{9}+\frac{30}{9}\\=\frac{-24-7+30}{9}\\=\frac{-1}{9}\)
4. \(+\left(\frac{-6}{-5}\right) +\left(\frac{9}{-4}\right) +\left(\frac{12}{4}\right)\\= \frac{6}{5}- \frac{9}{4}+\frac{12}{4}\\=\frac{6}{5}-\frac{9}{4}+\frac{3}{1}\\=\frac{24}{20}-\frac{45}{20}+\frac{60}{20}\\=\frac{24-45+60}{20}\\=\frac{39}{20}\)
5. \(+\left(\frac{-5}{9}\right) +\left(\frac{4}{6}\right) +\left(\frac{-6}{6}\right)\\= \frac{-5}{9}+ \frac{4}{6}-\frac{6}{6}\\=\frac{-5}{9}+\frac{2}{3}-\frac{1}{1}\\=\frac{-5+2-1}{9}\\=\frac{-4}{9}\)
6. \(-\left(\frac{-3}{7}\right) -\left(\frac{-4}{-8}\right) +\left(\frac{-9}{8}\right)\\= \frac{3}{7}- \frac{4}{8}-\frac{9}{8}\\=\frac{3}{7}-\frac{1}{2}-\frac{9}{8}\\=\frac{24}{56}-\frac{28}{56}-\frac{63}{56}\\=\frac{24-28-63}{56}\\=\frac{-67}{56}\)
7. \(+\left(\frac{-9}{4}\right) -\left(\frac{-9}{2}\right) +\left(\frac{10}{-12}\right)\\= \frac{-9}{4}+ \frac{9}{2}-\frac{10}{12}\\=\frac{-9}{4}+\frac{9}{2}-\frac{5}{6}\\=\frac{-27}{12}+\frac{54}{12}-\frac{10}{12}\\=\frac{-27+54-10}{12}\\=\frac{17}{12}\)
8. \(-\left(\frac{7}{8}\right) +\left(\frac{-5}{-9}\right) -\left(\frac{-11}{10}\right)\\= \frac{-7}{8}+ \frac{5}{9}+\frac{11}{10}\\=\frac{-315}{360}+\frac{200}{360}+\frac{396}{360}\\=\frac{-315+200+396}{360}\\=\frac{281}{360}\)
9. \(+\left(\frac{-7}{3}\right) -\left(\frac{-7}{-8}\right) +\left(\frac{5}{-4}\right)\\= \frac{-7}{3}- \frac{7}{8}-\frac{5}{4}\\=\frac{-56}{24}-\frac{21}{24}-\frac{30}{24}\\=\frac{-56-21-30}{24}\\=\frac{-107}{24}\)
10. \(+\left(\frac{-10}{-3}\right) -\left(\frac{6}{-3}\right) +\left(\frac{3}{-2}\right)\\= \frac{10}{3}+ \frac{6}{3}-\frac{3}{2}\\=\frac{10}{3}+\frac{2}{1}-\frac{3}{2}\\=\frac{20}{6}+\frac{12}{6}-\frac{9}{6}\\=\frac{20+12-9}{6}\\=\frac{23}{6}\)
11. \(+\left(\frac{-9}{2}\right) -\left(\frac{-4}{10}\right) -\left(\frac{5}{-2}\right)\\= \frac{-9}{2}+ \frac{4}{10}+\frac{5}{2}\\=\frac{-9}{2}+\frac{2}{5}+\frac{5}{2}\\=\frac{-45}{10}+\frac{4}{10}+\frac{25}{10}\\=\frac{-45+4+25}{10}\\=\frac{-16}{10}\\=\frac{-8}{5}\)
12. \(+\left(\frac{-10}{-7}\right) +\left(\frac{8}{8}\right) +\left(\frac{8}{-12}\right)\\= \frac{10}{7}+ \frac{8}{8}-\frac{8}{12}\\=\frac{10}{7}+\frac{1}{1}-\frac{2}{3}\\=\frac{30}{21}+\frac{21}{21}-\frac{14}{21}\\=\frac{30+21-14}{21}\\=\frac{37}{21}\)