Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{9}{11}\right)+\left(\frac{10}{-11}\right)\\= \frac{9}{11}-\frac{10}{11}\\=\frac{9-10}{11}\\=\frac{-1}{11}\)
2. \(-\left(\frac{-2}{-3}\right)+\left(\frac{10}{-13}\right)\\= \frac{-2}{3}-\frac{10}{13}\\=\frac{-26}{39}-\frac{30}{39}\\=\frac{-26-30}{39}\\=\frac{-56}{39}\)
3. \(+\left(\frac{-13}{4}\right)-\left(\frac{8}{13}\right)\\= \frac{-13}{4}-\frac{8}{13}\\=\frac{-169}{52}-\frac{32}{52}\\=\frac{-169-32}{52}\\=\frac{-201}{52}\)
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. \(+\left(\frac{6}{-7}\right)-\left(\frac{-13}{7}\right)\\= \frac{-6}{7}+\frac{13}{7}\\=\frac{-6+13}{7}\\=\frac{7}{7}\\=\frac{1}{1}\)
6. \(-\left(\frac{6}{7}\right)+\left(\frac{9}{-13}\right)\\= \frac{-6}{7}-\frac{9}{13}\\=\frac{-78}{91}-\frac{63}{91}\\=\frac{-78-63}{91}\\=\frac{-141}{91}\)
7. \(-\left(\frac{-11}{-4}\right)+\left(\frac{-8}{3}\right)\\= \frac{-11}{4}-\frac{8}{3}\\=\frac{-33}{12}-\frac{32}{12}\\=\frac{-33-32}{12}\\=\frac{-65}{12}\)
8. \(-\left(\frac{10}{-7}\right)+\left(\frac{-10}{-3}\right)\\= \frac{10}{7}+\frac{10}{3}\\=\frac{30}{21}+\frac{70}{21}\\=\frac{30+70}{21}\\=\frac{100}{21}\)
9. \(+\left(\frac{-15}{14}\right)+\left(\frac{-7}{-11}\right)\\= \frac{-15}{14}+\frac{7}{11}\\=\frac{-165}{154}+\frac{98}{154}\\=\frac{-165+98}{154}\\=\frac{-67}{154}\)
10. \(+\left(\frac{9}{5}\right)-\left(\frac{-12}{-13}\right)\\= \frac{9}{5}-\frac{12}{13}\\=\frac{117}{65}-\frac{60}{65}\\=\frac{117-60}{65}\\=\frac{57}{65}\)
11. \(+\left(\frac{-12}{5}\right)+\left(\frac{15}{-11}\right)\\= \frac{-12}{5}-\frac{15}{11}\\=\frac{-132}{55}-\frac{75}{55}\\=\frac{-132-75}{55}\\=\frac{-207}{55}\)
12. \(+\left(\frac{8}{-7}\right)+\left(\frac{13}{-12}\right)\\= \frac{-8}{7}-\frac{13}{12}\\=\frac{-96}{84}-\frac{91}{84}\\=\frac{-96-91}{84}\\=\frac{-187}{84}\)