Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{7}\right) -\left(\frac{5}{-3}\right) +\left(\frac{-3}{4}\right)\\= \frac{-4}{7}+ \frac{5}{3}-\frac{3}{4}\\=\frac{-48}{84}+\frac{140}{84}-\frac{63}{84}\\=\frac{-48+140-63}{84}\\=\frac{29}{84}\)
2. \(-\left(\frac{-8}{3}\right) -\left(\frac{-7}{3}\right) +\left(\frac{-8}{12}\right)\\= \frac{8}{3}+ \frac{7}{3}-\frac{8}{12}\\=\frac{8}{3}+\frac{7}{3}-\frac{2}{3}\\=\frac{8+7-2}{3}\\=\frac{13}{3}\)
3. \(+\left(\frac{-7}{4}\right) -\left(\frac{-10}{-9}\right) -\left(\frac{-2}{9}\right)\\= \frac{-7}{4}- \frac{10}{9}+\frac{2}{9}\\=\frac{-63}{36}-\frac{40}{36}+\frac{8}{36}\\=\frac{-63-40+8}{36}\\=\frac{-95}{36}\)
4. \(-\left(\frac{-3}{-5}\right) -\left(\frac{6}{-4}\right) +\left(\frac{10}{-12}\right)\\= \frac{-3}{5}+ \frac{6}{4}-\frac{10}{12}\\=\frac{-3}{5}+\frac{3}{2}-\frac{5}{6}\\=\frac{-18}{30}+\frac{45}{30}-\frac{25}{30}\\=\frac{-18+45-25}{30}\\=\frac{2}{30}\\=\frac{1}{15}\)
5. \(+\left(\frac{6}{5}\right) +\left(\frac{-6}{-4}\right) -\left(\frac{-9}{-6}\right)\\= \frac{6}{5}+ \frac{6}{4}-\frac{9}{6}\\=\frac{6}{5}+\frac{3}{2}-\frac{3}{2}\\=\frac{12}{10}+\frac{15}{10}-\frac{15}{10}\\=\frac{12+15-15}{10}\\=\frac{12}{10}\\=\frac{6}{5}\)
6. \(-\left(\frac{-9}{2}\right) +\left(\frac{3}{-6}\right) -\left(\frac{-2}{5}\right)\\= \frac{9}{2}- \frac{3}{6}+\frac{2}{5}\\=\frac{9}{2}-\frac{1}{2}+\frac{2}{5}\\=\frac{45}{10}-\frac{5}{10}+\frac{4}{10}\\=\frac{45-5+4}{10}\\=\frac{44}{10}\\=\frac{22}{5}\)
7. \(-\left(\frac{2}{9}\right) +\left(\frac{-9}{8}\right) -\left(\frac{11}{4}\right)\\= \frac{-2}{9}- \frac{9}{8}-\frac{11}{4}\\=\frac{-16}{72}-\frac{81}{72}-\frac{198}{72}\\=\frac{-16-81-198}{72}\\=\frac{-295}{72}\)
8. \(+\left(\frac{-6}{5}\right) -\left(\frac{-6}{3}\right) -\left(\frac{3}{-12}\right)\\= \frac{-6}{5}+ \frac{6}{3}+\frac{3}{12}\\=\frac{-6}{5}+\frac{2}{1}+\frac{1}{4}\\=\frac{-24}{20}+\frac{40}{20}+\frac{5}{20}\\=\frac{-24+40+5}{20}\\=\frac{21}{20}\)
9. \(+\left(\frac{-5}{-6}\right) -\left(\frac{-7}{6}\right) -\left(\frac{7}{7}\right)\\= \frac{5}{6}+ \frac{7}{6}-\frac{7}{7}\\=\frac{5}{6}+\frac{7}{6}-\frac{1}{1}\\=\frac{5+7-1}{6}\\=\frac{11}{6}\)
10. \(-\left(\frac{2}{9}\right) +\left(\frac{6}{-8}\right) +\left(\frac{11}{-5}\right)\\= \frac{-2}{9}- \frac{6}{8}-\frac{11}{5}\\=\frac{-2}{9}-\frac{3}{4}-\frac{11}{5}\\=\frac{-40}{180}-\frac{135}{180}-\frac{396}{180}\\=\frac{-40-135-396}{180}\\=\frac{-571}{180}\)
11. \(-\left(\frac{-4}{-3}\right) +\left(\frac{-3}{-5}\right) +\left(\frac{-4}{2}\right)\\= \frac{-4}{3}+ \frac{3}{5}-\frac{4}{2}\\=\frac{-4}{3}+\frac{3}{5}-\frac{2}{1}\\=\frac{-20}{15}+\frac{9}{15}-\frac{30}{15}\\=\frac{-20+9-30}{15}\\=\frac{-41}{15}\)
12. \(+\left(\frac{6}{-5}\right) +\left(\frac{-2}{3}\right) +\left(\frac{12}{-9}\right)\\= \frac{-6}{5}- \frac{2}{3}-\frac{12}{9}\\=\frac{-6}{5}-\frac{2}{3}-\frac{4}{3}\\=\frac{-18}{15}-\frac{10}{15}-\frac{20}{15}\\=\frac{-18-10-20}{15}\\=\frac{-48}{15}\\=\frac{-16}{5}\)