Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{11}\right)+\left(\frac{-5}{-14}\right)\\= \frac{15}{11}+\frac{5}{14}\\=\frac{210}{154}+\frac{55}{154}\\=\frac{210+55}{154}\\=\frac{265}{154}\)
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. \(+\left(\frac{-13}{5}\right)+\left(\frac{9}{13}\right)\\= \frac{-13}{5}+\frac{9}{13}\\=\frac{-169}{65}+\frac{45}{65}\\=\frac{-169+45}{65}\\=\frac{-124}{65}\)
4. \(+\left(\frac{-11}{7}\right)+\left(\frac{6}{-7}\right)\\= \frac{-11}{7}-\frac{6}{7}\\=\frac{-11-6}{7}\\=\frac{-17}{7}\)
5. \(-\left(\frac{-10}{-13}\right)+\left(\frac{-15}{-14}\right)\\= \frac{-10}{13}+\frac{15}{14}\\=\frac{-140}{182}+\frac{195}{182}\\=\frac{-140+195}{182}\\=\frac{55}{182}\)
6. \(-\left(\frac{-3}{4}\right)-\left(\frac{-9}{-11}\right)\\= \frac{3}{4}-\frac{9}{11}\\=\frac{33}{44}-\frac{36}{44}\\=\frac{33-36}{44}\\=\frac{-3}{44}\)
7. \(-\left(\frac{12}{-5}\right)+\left(\frac{8}{-11}\right)\\= \frac{12}{5}-\frac{8}{11}\\=\frac{132}{55}-\frac{40}{55}\\=\frac{132-40}{55}\\=\frac{92}{55}\)
8. \(-\left(\frac{-12}{11}\right)-\left(\frac{9}{-5}\right)\\= \frac{12}{11}+\frac{9}{5}\\=\frac{60}{55}+\frac{99}{55}\\=\frac{60+99}{55}\\=\frac{159}{55}\)
9. \(+\left(\frac{13}{-12}\right)+\left(\frac{-5}{2}\right)\\= \frac{-13}{12}-\frac{5}{2}\\=\frac{-13-5}{12}\\=\frac{-18}{12}\\=\frac{-3}{2}\)
10. \(-\left(\frac{-2}{-9}\right)-\left(\frac{-3}{-10}\right)\\= \frac{-2}{9}-\frac{3}{10}\\=\frac{-20}{90}-\frac{27}{90}\\=\frac{-20-27}{90}\\=\frac{-47}{90}\)
11. \(-\left(\frac{-15}{11}\right)-\left(\frac{-15}{7}\right)\\= \frac{15}{11}+\frac{15}{7}\\=\frac{105}{77}+\frac{165}{77}\\=\frac{105+165}{77}\\=\frac{270}{77}\)
12. \(-\left(\frac{-11}{-6}\right)-\left(\frac{8}{5}\right)\\= \frac{-11}{6}-\frac{8}{5}\\=\frac{-55}{30}-\frac{48}{30}\\=\frac{-55-48}{30}\\=\frac{-103}{30}\)