Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{5}{3}\right) +\left(\frac{9}{-5}\right) +\left(\frac{4}{6}\right)\\= \frac{5}{3}- \frac{9}{5}+\frac{4}{6}\\=\frac{5}{3}-\frac{9}{5}+\frac{2}{3}\\=\frac{25}{15}-\frac{27}{15}+\frac{10}{15}\\=\frac{25-27+10}{15}\\=\frac{8}{15}\)
2. \(+\left(\frac{-7}{2}\right) -\left(\frac{9}{-8}\right) -\left(\frac{-3}{9}\right)\\= \frac{-7}{2}+ \frac{9}{8}+\frac{3}{9}\\=\frac{-7}{2}+\frac{9}{8}+\frac{1}{3}\\=\frac{-84}{24}+\frac{27}{24}+\frac{8}{24}\\=\frac{-84+27+8}{24}\\=\frac{-49}{24}\)
3. \(-\left(\frac{-6}{7}\right) -\left(\frac{5}{2}\right) -\left(\frac{5}{5}\right)\\= \frac{6}{7}- \frac{5}{2}-\frac{5}{5}\\=\frac{6}{7}-\frac{5}{2}-\frac{1}{1}\\=\frac{12}{14}-\frac{35}{14}-\frac{14}{14}\\=\frac{12-35-14}{14}\\=\frac{-37}{14}\)
4. \(-\left(\frac{2}{5}\right) -\left(\frac{-2}{-2}\right) +\left(\frac{-8}{8}\right)\\= \frac{-2}{5}- \frac{2}{2}-\frac{8}{8}\\=\frac{-2}{5}-\frac{1}{1}-\frac{1}{1}\\=\frac{-2-1-1}{5}\\=\frac{-4}{5}\)
5. \(+\left(\frac{7}{-9}\right) -\left(\frac{-2}{3}\right) -\left(\frac{6}{9}\right)\\= \frac{-7}{9}+ \frac{2}{3}-\frac{6}{9}\\=\frac{-7}{9}+\frac{2}{3}-\frac{2}{3}\\=\frac{-7+2-2}{9}\\=\frac{-7}{9}\)
6. \(+\left(\frac{7}{-4}\right) +\left(\frac{-6}{4}\right) -\left(\frac{-7}{-10}\right)\\= \frac{-7}{4}- \frac{6}{4}-\frac{7}{10}\\=\frac{-7}{4}-\frac{3}{2}-\frac{7}{10}\\=\frac{-35}{20}-\frac{30}{20}-\frac{14}{20}\\=\frac{-35-30-14}{20}\\=\frac{-79}{20}\)
7. \(-\left(\frac{2}{7}\right) +\left(\frac{10}{-6}\right) -\left(\frac{10}{11}\right)\\= \frac{-2}{7}- \frac{10}{6}-\frac{10}{11}\\=\frac{-2}{7}-\frac{5}{3}-\frac{10}{11}\\=\frac{-66}{231}-\frac{385}{231}-\frac{210}{231}\\=\frac{-66-385-210}{231}\\=\frac{-661}{231}\)
8. \(-\left(\frac{6}{-5}\right) -\left(\frac{8}{-8}\right) +\left(\frac{-11}{-7}\right)\\= \frac{6}{5}+ \frac{8}{8}+\frac{11}{7}\\=\frac{6}{5}+\frac{1}{1}+\frac{11}{7}\\=\frac{42}{35}+\frac{35}{35}+\frac{55}{35}\\=\frac{42+35+55}{35}\\=\frac{132}{35}\)
9. \(+\left(\frac{-4}{-7}\right) -\left(\frac{10}{3}\right) -\left(\frac{-9}{-9}\right)\\= \frac{4}{7}- \frac{10}{3}-\frac{9}{9}\\=\frac{4}{7}-\frac{10}{3}-\frac{1}{1}\\=\frac{12}{21}-\frac{70}{21}-\frac{21}{21}\\=\frac{12-70-21}{21}\\=\frac{-79}{21}\)
10. \(+\left(\frac{5}{7}\right) -\left(\frac{3}{-8}\right) -\left(\frac{8}{8}\right)\\= \frac{5}{7}+ \frac{3}{8}-\frac{8}{8}\\=\frac{5}{7}+\frac{3}{8}-\frac{1}{1}\\=\frac{40}{56}+\frac{21}{56}-\frac{56}{56}\\=\frac{40+21-56}{56}\\=\frac{5}{56}\)
11. \(-\left(\frac{2}{9}\right) -\left(\frac{-2}{-10}\right) +\left(\frac{-12}{-3}\right)\\= \frac{-2}{9}- \frac{2}{10}+\frac{12}{3}\\=\frac{-2}{9}-\frac{1}{5}+\frac{4}{1}\\=\frac{-10}{45}-\frac{9}{45}+\frac{180}{45}\\=\frac{-10-9+180}{45}\\=\frac{161}{45}\)
12. \(+\left(\frac{3}{-4}\right) -\left(\frac{10}{-5}\right) -\left(\frac{7}{11}\right)\\= \frac{-3}{4}+ \frac{10}{5}-\frac{7}{11}\\=\frac{-3}{4}+\frac{2}{1}-\frac{7}{11}\\=\frac{-33}{44}+\frac{88}{44}-\frac{28}{44}\\=\frac{-33+88-28}{44}\\=\frac{27}{44}\)