Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{7}\right) +\left(\frac{6}{8}\right) +\left(\frac{-3}{9}\right)\\= \frac{-5}{7}+ \frac{6}{8}-\frac{3}{9}\\=\frac{-5}{7}+\frac{3}{4}-\frac{1}{3}\\=\frac{-60}{84}+\frac{63}{84}-\frac{28}{84}\\=\frac{-60+63-28}{84}\\=\frac{-25}{84}\)
2. \(-\left(\frac{2}{-7}\right) -\left(\frac{5}{3}\right) +\left(\frac{7}{-9}\right)\\= \frac{2}{7}- \frac{5}{3}-\frac{7}{9}\\=\frac{18}{63}-\frac{105}{63}-\frac{49}{63}\\=\frac{18-105-49}{63}\\=\frac{-136}{63}\)
3. \(-\left(\frac{-7}{-3}\right) +\left(\frac{-5}{-5}\right) +\left(\frac{8}{3}\right)\\= \frac{-7}{3}+ \frac{5}{5}+\frac{8}{3}\\=\frac{-7}{3}+\frac{1}{1}+\frac{8}{3}\\=\frac{-7+1+8}{3}\\=\frac{2}{3}\)
4. \(-\left(\frac{6}{-5}\right) -\left(\frac{6}{-3}\right) -\left(\frac{-9}{2}\right)\\= \frac{6}{5}+ \frac{6}{3}+\frac{9}{2}\\=\frac{6}{5}+\frac{2}{1}+\frac{9}{2}\\=\frac{12}{10}+\frac{20}{10}+\frac{45}{10}\\=\frac{12+20+45}{10}\\=\frac{77}{10}\)
5. \(+\left(\frac{2}{-5}\right) -\left(\frac{-4}{-10}\right) +\left(\frac{8}{2}\right)\\= \frac{-2}{5}- \frac{4}{10}+\frac{8}{2}\\=\frac{-2}{5}-\frac{2}{5}+\frac{4}{1}\\=\frac{-2-2+4}{5}\\=\frac{0}{5}\\=\frac{0}{1}\)
6. \(+\left(\frac{7}{9}\right) -\left(\frac{6}{-2}\right) -\left(\frac{-9}{5}\right)\\= \frac{7}{9}+ \frac{6}{2}+\frac{9}{5}\\=\frac{7}{9}+\frac{3}{1}+\frac{9}{5}\\=\frac{35}{45}+\frac{135}{45}+\frac{81}{45}\\=\frac{35+135+81}{45}\\=\frac{251}{45}\)
7. \(+\left(\frac{-4}{3}\right) -\left(\frac{10}{-9}\right) -\left(\frac{9}{8}\right)\\= \frac{-4}{3}+ \frac{10}{9}-\frac{9}{8}\\=\frac{-96}{72}+\frac{80}{72}-\frac{81}{72}\\=\frac{-96+80-81}{72}\\=\frac{-97}{72}\)
8. \(+\left(\frac{4}{7}\right) -\left(\frac{3}{6}\right) +\left(\frac{11}{-8}\right)\\= \frac{4}{7}- \frac{3}{6}-\frac{11}{8}\\=\frac{4}{7}-\frac{1}{2}-\frac{11}{8}\\=\frac{32}{56}-\frac{28}{56}-\frac{77}{56}\\=\frac{32-28-77}{56}\\=\frac{-73}{56}\)
9. \(-\left(\frac{8}{3}\right) +\left(\frac{-3}{-3}\right) -\left(\frac{3}{-7}\right)\\= \frac{-8}{3}+ \frac{3}{3}+\frac{3}{7}\\=\frac{-8}{3}+\frac{1}{1}+\frac{3}{7}\\=\frac{-56}{21}+\frac{21}{21}+\frac{9}{21}\\=\frac{-56+21+9}{21}\\=\frac{-26}{21}\)
10. \(+\left(\frac{7}{-4}\right) -\left(\frac{-7}{6}\right) +\left(\frac{3}{5}\right)\\= \frac{-7}{4}+ \frac{7}{6}+\frac{3}{5}\\=\frac{-105}{60}+\frac{70}{60}+\frac{36}{60}\\=\frac{-105+70+36}{60}\\=\frac{1}{60}\)
11. \(+\left(\frac{6}{5}\right) -\left(\frac{4}{7}\right) +\left(\frac{-9}{4}\right)\\= \frac{6}{5}- \frac{4}{7}-\frac{9}{4}\\=\frac{168}{140}-\frac{80}{140}-\frac{315}{140}\\=\frac{168-80-315}{140}\\=\frac{-227}{140}\)
12. \(-\left(\frac{-8}{-3}\right) +\left(\frac{-2}{8}\right) -\left(\frac{-3}{7}\right)\\= \frac{-8}{3}- \frac{2}{8}+\frac{3}{7}\\=\frac{-8}{3}-\frac{1}{4}+\frac{3}{7}\\=\frac{-224}{84}-\frac{21}{84}+\frac{36}{84}\\=\frac{-224-21+36}{84}\\=\frac{-209}{84}\)