Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{-11}\right)+\left(\frac{-15}{-4}\right)\\= \frac{3}{11}+\frac{15}{4}\\=\frac{12}{44}+\frac{165}{44}\\=\frac{12+165}{44}\\=\frac{177}{44}\)
2. \(-\left(\frac{14}{13}\right)+\left(\frac{8}{7}\right)\\= \frac{-14}{13}+\frac{8}{7}\\=\frac{-98}{91}+\frac{104}{91}\\=\frac{-98+104}{91}\\=\frac{6}{91}\)
3. \(+\left(\frac{-8}{7}\right)-\left(\frac{-9}{-2}\right)\\= \frac{-8}{7}-\frac{9}{2}\\=\frac{-16}{14}-\frac{63}{14}\\=\frac{-16-63}{14}\\=\frac{-79}{14}\)
4. \(-\left(\frac{11}{-10}\right)-\left(\frac{4}{3}\right)\\= \frac{11}{10}-\frac{4}{3}\\=\frac{33}{30}-\frac{40}{30}\\=\frac{33-40}{30}\\=\frac{-7}{30}\)
5. \(+\left(\frac{-12}{-5}\right)+\left(\frac{12}{-11}\right)\\= \frac{12}{5}-\frac{12}{11}\\=\frac{132}{55}-\frac{60}{55}\\=\frac{132-60}{55}\\=\frac{72}{55}\)
6. \(+\left(\frac{3}{13}\right)-\left(\frac{-13}{-5}\right)\\= \frac{3}{13}-\frac{13}{5}\\=\frac{15}{65}-\frac{169}{65}\\=\frac{15-169}{65}\\=\frac{-154}{65}\)
7. \(-\left(\frac{9}{-4}\right)+\left(\frac{14}{-11}\right)\\= \frac{9}{4}-\frac{14}{11}\\=\frac{99}{44}-\frac{56}{44}\\=\frac{99-56}{44}\\=\frac{43}{44}\)
8. \(+\left(\frac{12}{11}\right)-\left(\frac{8}{5}\right)\\= \frac{12}{11}-\frac{8}{5}\\=\frac{60}{55}-\frac{88}{55}\\=\frac{60-88}{55}\\=\frac{-28}{55}\)
9. \(+\left(\frac{8}{-7}\right)-\left(\frac{-10}{3}\right)\\= \frac{-8}{7}+\frac{10}{3}\\=\frac{-24}{21}+\frac{70}{21}\\=\frac{-24+70}{21}\\=\frac{46}{21}\)
10. \(-\left(\frac{14}{-13}\right)+\left(\frac{-12}{-5}\right)\\= \frac{14}{13}+\frac{12}{5}\\=\frac{70}{65}+\frac{156}{65}\\=\frac{70+156}{65}\\=\frac{226}{65}\)
11. \(+\left(\frac{15}{-11}\right)+\left(\frac{-4}{13}\right)\\= \frac{-15}{11}-\frac{4}{13}\\=\frac{-195}{143}-\frac{44}{143}\\=\frac{-195-44}{143}\\=\frac{-239}{143}\)
12. \(+\left(\frac{11}{-14}\right)+\left(\frac{-15}{-11}\right)\\= \frac{-11}{14}+\frac{15}{11}\\=\frac{-121}{154}+\frac{210}{154}\\=\frac{-121+210}{154}\\=\frac{89}{154}\)