Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{-13}\right)+\left(\frac{-6}{-7}\right)\\= \frac{-15}{13}+\frac{6}{7}\\=\frac{-105}{91}+\frac{78}{91}\\=\frac{-105+78}{91}\\=\frac{-27}{91}\)
2. \(+\left(\frac{-2}{-7}\right)-\left(\frac{-3}{-13}\right)\\= \frac{2}{7}-\frac{3}{13}\\=\frac{26}{91}-\frac{21}{91}\\=\frac{26-21}{91}\\=\frac{5}{91}\)
3. \(-\left(\frac{-7}{2}\right)+\left(\frac{6}{-7}\right)\\= \frac{7}{2}-\frac{6}{7}\\=\frac{49}{14}-\frac{12}{14}\\=\frac{49-12}{14}\\=\frac{37}{14}\)
4. \(+\left(\frac{-6}{5}\right)+\left(\frac{3}{-10}\right)\\= \frac{-6}{5}-\frac{3}{10}\\=\frac{-12}{10}-\frac{3}{10}\\=\frac{-12-3}{10}\\=\frac{-15}{10}\\=\frac{-3}{2}\)
5. \(+\left(\frac{6}{5}\right)-\left(\frac{13}{6}\right)\\= \frac{6}{5}-\frac{13}{6}\\=\frac{36}{30}-\frac{65}{30}\\=\frac{36-65}{30}\\=\frac{-29}{30}\)
6. \(+\left(\frac{13}{-3}\right)-\left(\frac{-10}{9}\right)\\= \frac{-13}{3}+\frac{10}{9}\\=\frac{-39}{9}+\frac{10}{9}\\=\frac{-39+10}{9}\\=\frac{-29}{9}\)
7. \(+\left(\frac{-14}{-5}\right)+\left(\frac{11}{-10}\right)\\= \frac{14}{5}-\frac{11}{10}\\=\frac{28}{10}-\frac{11}{10}\\=\frac{28-11}{10}\\=\frac{17}{10}\)
8. \(-\left(\frac{11}{3}\right)-\left(\frac{-14}{-5}\right)\\= \frac{-11}{3}-\frac{14}{5}\\=\frac{-55}{15}-\frac{42}{15}\\=\frac{-55-42}{15}\\=\frac{-97}{15}\)
9. \(-\left(\frac{8}{5}\right)+\left(\frac{-4}{-5}\right)\\= \frac{-8}{5}+\frac{4}{5}\\=\frac{-8+4}{5}\\=\frac{-4}{5}\)
10. \(+\left(\frac{-3}{-4}\right)-\left(\frac{14}{11}\right)\\= \frac{3}{4}-\frac{14}{11}\\=\frac{33}{44}-\frac{56}{44}\\=\frac{33-56}{44}\\=\frac{-23}{44}\)
11. \(+\left(\frac{-13}{-2}\right)-\left(\frac{8}{3}\right)\\= \frac{13}{2}-\frac{8}{3}\\=\frac{39}{6}-\frac{16}{6}\\=\frac{39-16}{6}\\=\frac{23}{6}\)
12. \(+\left(\frac{13}{5}\right)+\left(\frac{15}{-7}\right)\\= \frac{13}{5}-\frac{15}{7}\\=\frac{91}{35}-\frac{75}{35}\\=\frac{91-75}{35}\\=\frac{16}{35}\)