Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{3}\right) +\left(\frac{8}{10}\right) -\left(\frac{7}{-8}\right)\\= \frac{-4}{3}+ \frac{8}{10}+\frac{7}{8}\\=\frac{-4}{3}+\frac{4}{5}+\frac{7}{8}\\=\frac{-160}{120}+\frac{96}{120}+\frac{105}{120}\\=\frac{-160+96+105}{120}\\=\frac{41}{120}\)
2. \(-\left(\frac{9}{5}\right) +\left(\frac{-7}{8}\right) +\left(\frac{6}{3}\right)\\= \frac{-9}{5}- \frac{7}{8}+\frac{6}{3}\\=\frac{-9}{5}-\frac{7}{8}+\frac{2}{1}\\=\frac{-72}{40}-\frac{35}{40}+\frac{80}{40}\\=\frac{-72-35+80}{40}\\=\frac{-27}{40}\)
3. \(-\left(\frac{8}{5}\right) +\left(\frac{8}{5}\right) -\left(\frac{12}{-12}\right)\\= \frac{-8}{5}+ \frac{8}{5}+\frac{12}{12}\\=\frac{-8}{5}+\frac{8}{5}+\frac{1}{1}\\=\frac{-8+8+1}{5}\\=\frac{1}{5}\)
4. \(-\left(\frac{-2}{-5}\right) +\left(\frac{-5}{2}\right) +\left(\frac{-6}{-6}\right)\\= \frac{-2}{5}- \frac{5}{2}+\frac{6}{6}\\=\frac{-2}{5}-\frac{5}{2}+\frac{1}{1}\\=\frac{-4}{10}-\frac{25}{10}+\frac{10}{10}\\=\frac{-4-25+10}{10}\\=\frac{-19}{10}\)
5. \(+\left(\frac{-8}{7}\right) +\left(\frac{4}{-9}\right) +\left(\frac{5}{-4}\right)\\= \frac{-8}{7}- \frac{4}{9}-\frac{5}{4}\\=\frac{-288}{252}-\frac{112}{252}-\frac{315}{252}\\=\frac{-288-112-315}{252}\\=\frac{-715}{252}\)
6. \(+\left(\frac{2}{-3}\right) -\left(\frac{10}{10}\right) -\left(\frac{7}{5}\right)\\= \frac{-2}{3}- \frac{10}{10}-\frac{7}{5}\\=\frac{-2}{3}-\frac{1}{1}-\frac{7}{5}\\=\frac{-10}{15}-\frac{15}{15}-\frac{21}{15}\\=\frac{-10-15-21}{15}\\=\frac{-46}{15}\)
7. \(+\left(\frac{-10}{7}\right) +\left(\frac{-4}{6}\right) -\left(\frac{4}{4}\right)\\= \frac{-10}{7}- \frac{4}{6}-\frac{4}{4}\\=\frac{-10}{7}-\frac{2}{3}-\frac{1}{1}\\=\frac{-30}{21}-\frac{14}{21}-\frac{21}{21}\\=\frac{-30-14-21}{21}\\=\frac{-65}{21}\)
8. \(-\left(\frac{-3}{4}\right) +\left(\frac{-5}{-6}\right) -\left(\frac{8}{-5}\right)\\= \frac{3}{4}+ \frac{5}{6}+\frac{8}{5}\\=\frac{45}{60}+\frac{50}{60}+\frac{96}{60}\\=\frac{45+50+96}{60}\\=\frac{191}{60}\)
9. \(+\left(\frac{-10}{-3}\right) +\left(\frac{3}{-3}\right) -\left(\frac{8}{5}\right)\\= \frac{10}{3}- \frac{3}{3}-\frac{8}{5}\\=\frac{10}{3}-\frac{1}{1}-\frac{8}{5}\\=\frac{50}{15}-\frac{15}{15}-\frac{24}{15}\\=\frac{50-15-24}{15}\\=\frac{11}{15}\)
10. \(-\left(\frac{-9}{8}\right) +\left(\frac{-4}{6}\right) +\left(\frac{-8}{2}\right)\\= \frac{9}{8}- \frac{4}{6}-\frac{8}{2}\\=\frac{9}{8}-\frac{2}{3}-\frac{4}{1}\\=\frac{27}{24}-\frac{16}{24}-\frac{96}{24}\\=\frac{27-16-96}{24}\\=\frac{-85}{24}\)
11. \(-\left(\frac{9}{-2}\right) +\left(\frac{6}{10}\right) +\left(\frac{-5}{12}\right)\\= \frac{9}{2}+ \frac{6}{10}-\frac{5}{12}\\=\frac{9}{2}+\frac{3}{5}-\frac{5}{12}\\=\frac{270}{60}+\frac{36}{60}-\frac{25}{60}\\=\frac{270+36-25}{60}\\=\frac{281}{60}\)
12. \(+\left(\frac{-10}{3}\right) -\left(\frac{2}{-2}\right) -\left(\frac{-10}{2}\right)\\= \frac{-10}{3}+ \frac{2}{2}+\frac{10}{2}\\=\frac{-10}{3}+\frac{1}{1}+\frac{5}{1}\\=\frac{-10+1+5}{3}\\=\frac{-4}{3}\)