Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{-7}\right)+\left(\frac{-8}{9}\right)\\= \frac{-12}{7}-\frac{8}{9}\\=\frac{-108}{63}-\frac{56}{63}\\=\frac{-108-56}{63}\\=\frac{-164}{63}\)
2. \(-\left(\frac{4}{-13}\right)+\left(\frac{12}{5}\right)\\= \frac{4}{13}+\frac{12}{5}\\=\frac{20}{65}+\frac{156}{65}\\=\frac{20+156}{65}\\=\frac{176}{65}\)
3. \(-\left(\frac{-15}{-11}\right)-\left(\frac{-9}{7}\right)\\= \frac{-15}{11}+\frac{9}{7}\\=\frac{-105}{77}+\frac{99}{77}\\=\frac{-105+99}{77}\\=\frac{-6}{77}\)
4. \(-\left(\frac{10}{3}\right)-\left(\frac{2}{3}\right)\\= \frac{-10}{3}-\frac{2}{3}\\=\frac{-10-2}{3}\\=\frac{-12}{3}\\=\frac{-4}{1}\)
5. \(-\left(\frac{-3}{4}\right)+\left(\frac{-12}{5}\right)\\= \frac{3}{4}-\frac{12}{5}\\=\frac{15}{20}-\frac{48}{20}\\=\frac{15-48}{20}\\=\frac{-33}{20}\)
6. \(+\left(\frac{6}{-13}\right)+\left(\frac{7}{9}\right)\\= \frac{-6}{13}+\frac{7}{9}\\=\frac{-54}{117}+\frac{91}{117}\\=\frac{-54+91}{117}\\=\frac{37}{117}\)
7. \(-\left(\frac{14}{-3}\right)-\left(\frac{-14}{11}\right)\\= \frac{14}{3}+\frac{14}{11}\\=\frac{154}{33}+\frac{42}{33}\\=\frac{154+42}{33}\\=\frac{196}{33}\)
8. \(+\left(\frac{4}{-11}\right)-\left(\frac{3}{-4}\right)\\= \frac{-4}{11}+\frac{3}{4}\\=\frac{-16}{44}+\frac{33}{44}\\=\frac{-16+33}{44}\\=\frac{17}{44}\)
9. \(-\left(\frac{8}{-13}\right)+\left(\frac{3}{-11}\right)\\= \frac{8}{13}-\frac{3}{11}\\=\frac{88}{143}-\frac{39}{143}\\=\frac{88-39}{143}\\=\frac{49}{143}\)
10. \(-\left(\frac{-4}{-3}\right)+\left(\frac{-5}{-11}\right)\\= \frac{-4}{3}+\frac{5}{11}\\=\frac{-44}{33}+\frac{15}{33}\\=\frac{-44+15}{33}\\=\frac{-29}{33}\)
11. \(+\left(\frac{-6}{5}\right)-\left(\frac{14}{13}\right)\\= \frac{-6}{5}-\frac{14}{13}\\=\frac{-78}{65}-\frac{70}{65}\\=\frac{-78-70}{65}\\=\frac{-148}{65}\)
12. \(+\left(\frac{-3}{5}\right)+\left(\frac{15}{-2}\right)\\= \frac{-3}{5}-\frac{15}{2}\\=\frac{-6}{10}-\frac{75}{10}\\=\frac{-6-75}{10}\\=\frac{-81}{10}\)