Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{7}\right)-\left(\frac{9}{4}\right)\\= \frac{-11}{7}-\frac{9}{4}\\=\frac{-44}{28}-\frac{63}{28}\\=\frac{-44-63}{28}\\=\frac{-107}{28}\)
2. \(-\left(\frac{-2}{11}\right)-\left(\frac{14}{-3}\right)\\= \frac{2}{11}+\frac{14}{3}\\=\frac{6}{33}+\frac{154}{33}\\=\frac{6+154}{33}\\=\frac{160}{33}\)
3. \(-\left(\frac{-2}{3}\right)+\left(\frac{-6}{5}\right)\\= \frac{2}{3}-\frac{6}{5}\\=\frac{10}{15}-\frac{18}{15}\\=\frac{10-18}{15}\\=\frac{-8}{15}\)
4. \(+\left(\frac{2}{-7}\right)-\left(\frac{-6}{-13}\right)\\= \frac{-2}{7}-\frac{6}{13}\\=\frac{-26}{91}-\frac{42}{91}\\=\frac{-26-42}{91}\\=\frac{-68}{91}\)
5. \(+\left(\frac{5}{12}\right)-\left(\frac{-6}{-13}\right)\\= \frac{5}{12}-\frac{6}{13}\\=\frac{65}{156}-\frac{72}{156}\\=\frac{65-72}{156}\\=\frac{-7}{156}\)
6. \(+\left(\frac{9}{14}\right)+\left(\frac{11}{10}\right)\\= \frac{9}{14}+\frac{11}{10}\\=\frac{45}{70}+\frac{77}{70}\\=\frac{45+77}{70}\\=\frac{122}{70}\\=\frac{61}{35}\)
7. \(+\left(\frac{-6}{-11}\right)+\left(\frac{-5}{-11}\right)\\= \frac{6}{11}+\frac{5}{11}\\=\frac{6+5}{11}\\=\frac{11}{11}\\=\frac{1}{1}\)
8. \(+\left(\frac{-4}{-3}\right)-\left(\frac{4}{-9}\right)\\= \frac{4}{3}+\frac{4}{9}\\=\frac{12}{9}+\frac{4}{9}\\=\frac{12+4}{9}\\=\frac{16}{9}\)
9. \(-\left(\frac{-9}{-13}\right)-\left(\frac{-2}{13}\right)\\= \frac{-9}{13}+\frac{2}{13}\\=\frac{-9+2}{13}\\=\frac{-7}{13}\)
10. \(-\left(\frac{-10}{3}\right)-\left(\frac{-10}{-3}\right)\\= \frac{10}{3}-\frac{10}{3}\\=\frac{10-10}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)
11. \(-\left(\frac{-13}{-11}\right)-\left(\frac{9}{-4}\right)\\= \frac{-13}{11}+\frac{9}{4}\\=\frac{-52}{44}+\frac{99}{44}\\=\frac{-52+99}{44}\\=\frac{47}{44}\)
12. \(+\left(\frac{15}{7}\right)+\left(\frac{-4}{-5}\right)\\= \frac{15}{7}+\frac{4}{5}\\=\frac{75}{35}+\frac{28}{35}\\=\frac{75+28}{35}\\=\frac{103}{35}\)