Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(-\left(\frac{7}{-8}\right)-\left(\frac{-5}{-6}\right)\)
2. \(+\left(\frac{-8}{-9}\right)-\left(\frac{-5}{-9}\right)\)
3. \(+\left(\frac{-6}{-13}\right)+\left(\frac{14}{3}\right)\)
4. \(+\left(\frac{3}{-13}\right)-\left(\frac{5}{-11}\right)\)
5. \(+\left(\frac{9}{-4}\right)+\left(\frac{-12}{-7}\right)\)
6. \(+\left(\frac{-5}{14}\right)-\left(\frac{-5}{-3}\right)\)
7. \(-\left(\frac{7}{2}\right)-\left(\frac{11}{4}\right)\)
8. \(-\left(\frac{10}{-11}\right)+\left(\frac{-10}{-3}\right)\)
9. \(-\left(\frac{6}{-5}\right)-\left(\frac{-9}{-14}\right)\)
10. \(-\left(\frac{-5}{8}\right)+\left(\frac{-4}{11}\right)\)
11. \(-\left(\frac{5}{-7}\right)-\left(\frac{15}{-11}\right)\)
12. \(+\left(\frac{-12}{-5}\right)-\left(\frac{-3}{-10}\right)\)

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Bereken

Verbetersleutel

1. \(-\left(\frac{7}{-8}\right)-\left(\frac{-5}{-6}\right)\\= \frac{7}{8}-\frac{5}{6}\\=\frac{21}{24}-\frac{20}{24}\\=\frac{21-20}{24}\\=\frac{1}{24}\)
2. \(+\left(\frac{-8}{-9}\right)-\left(\frac{-5}{-9}\right)\\= \frac{8}{9}-\frac{5}{9}\\=\frac{8-5}{9}\\=\frac{3}{9}\\=\frac{1}{3}\)
3. \(+\left(\frac{-6}{-13}\right)+\left(\frac{14}{3}\right)\\= \frac{6}{13}+\frac{14}{3}\\=\frac{18}{39}+\frac{182}{39}\\=\frac{18+182}{39}\\=\frac{200}{39}\)
4. \(+\left(\frac{3}{-13}\right)-\left(\frac{5}{-11}\right)\\= \frac{-3}{13}+\frac{5}{11}\\=\frac{-33}{143}+\frac{65}{143}\\=\frac{-33+65}{143}\\=\frac{32}{143}\)
5. \(+\left(\frac{9}{-4}\right)+\left(\frac{-12}{-7}\right)\\= \frac{-9}{4}+\frac{12}{7}\\=\frac{-63}{28}+\frac{48}{28}\\=\frac{-63+48}{28}\\=\frac{-15}{28}\)
6. \(+\left(\frac{-5}{14}\right)-\left(\frac{-5}{-3}\right)\\= \frac{-5}{14}-\frac{5}{3}\\=\frac{-15}{42}-\frac{70}{42}\\=\frac{-15-70}{42}\\=\frac{-85}{42}\)
7. \(-\left(\frac{7}{2}\right)-\left(\frac{11}{4}\right)\\= \frac{-7}{2}-\frac{11}{4}\\=\frac{-14}{4}-\frac{11}{4}\\=\frac{-14-11}{4}\\=\frac{-25}{4}\)
8. \(-\left(\frac{10}{-11}\right)+\left(\frac{-10}{-3}\right)\\= \frac{10}{11}+\frac{10}{3}\\=\frac{30}{33}+\frac{110}{33}\\=\frac{30+110}{33}\\=\frac{140}{33}\)
9. \(-\left(\frac{6}{-5}\right)-\left(\frac{-9}{-14}\right)\\= \frac{6}{5}-\frac{9}{14}\\=\frac{84}{70}-\frac{45}{70}\\=\frac{84-45}{70}\\=\frac{39}{70}\)
10. \(-\left(\frac{-5}{8}\right)+\left(\frac{-4}{11}\right)\\= \frac{5}{8}-\frac{4}{11}\\=\frac{55}{88}-\frac{32}{88}\\=\frac{55-32}{88}\\=\frac{23}{88}\)
11. \(-\left(\frac{5}{-7}\right)-\left(\frac{15}{-11}\right)\\= \frac{5}{7}+\frac{15}{11}\\=\frac{55}{77}+\frac{105}{77}\\=\frac{55+105}{77}\\=\frac{160}{77}\)
12. \(+\left(\frac{-12}{-5}\right)-\left(\frac{-3}{-10}\right)\\= \frac{12}{5}-\frac{3}{10}\\=\frac{24}{10}-\frac{3}{10}\\=\frac{24-3}{10}\\=\frac{21}{10}\)