Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{5}\right)+\left(\frac{6}{-11}\right)\\= \frac{12}{5}-\frac{6}{11}\\=\frac{132}{55}-\frac{30}{55}\\=\frac{132-30}{55}\\=\frac{102}{55}\)
2. \(+\left(\frac{-7}{-2}\right)+\left(\frac{13}{9}\right)\\= \frac{7}{2}+\frac{13}{9}\\=\frac{63}{18}+\frac{26}{18}\\=\frac{63+26}{18}\\=\frac{89}{18}\)
3. \(-\left(\frac{10}{11}\right)-\left(\frac{14}{9}\right)\\= \frac{-10}{11}-\frac{14}{9}\\=\frac{-90}{99}-\frac{154}{99}\\=\frac{-90-154}{99}\\=\frac{-244}{99}\)
4. \(-\left(\frac{-4}{-5}\right)+\left(\frac{-10}{-13}\right)\\= \frac{-4}{5}+\frac{10}{13}\\=\frac{-52}{65}+\frac{50}{65}\\=\frac{-52+50}{65}\\=\frac{-2}{65}\)
5. \(+\left(\frac{3}{11}\right)+\left(\frac{-12}{5}\right)\\= \frac{3}{11}-\frac{12}{5}\\=\frac{15}{55}-\frac{132}{55}\\=\frac{15-132}{55}\\=\frac{-117}{55}\)
6. \(-\left(\frac{10}{-3}\right)-\left(\frac{-15}{11}\right)\\= \frac{10}{3}+\frac{15}{11}\\=\frac{110}{33}+\frac{45}{33}\\=\frac{110+45}{33}\\=\frac{155}{33}\)
7. \(-\left(\frac{10}{-7}\right)+\left(\frac{-4}{3}\right)\\= \frac{10}{7}-\frac{4}{3}\\=\frac{30}{21}-\frac{28}{21}\\=\frac{30-28}{21}\\=\frac{2}{21}\)
8. \(-\left(\frac{14}{-3}\right)-\left(\frac{-15}{-13}\right)\\= \frac{14}{3}-\frac{15}{13}\\=\frac{182}{39}-\frac{45}{39}\\=\frac{182-45}{39}\\=\frac{137}{39}\)
9. \(+\left(\frac{12}{-5}\right)-\left(\frac{-6}{5}\right)\\= \frac{-12}{5}+\frac{6}{5}\\=\frac{-12+6}{5}\\=\frac{-6}{5}\)
10. \(-\left(\frac{2}{-5}\right)-\left(\frac{-4}{-3}\right)\\= \frac{2}{5}-\frac{4}{3}\\=\frac{6}{15}-\frac{20}{15}\\=\frac{6-20}{15}\\=\frac{-14}{15}\)
11. \(+\left(\frac{9}{2}\right)-\left(\frac{4}{3}\right)\\= \frac{9}{2}-\frac{4}{3}\\=\frac{27}{6}-\frac{8}{6}\\=\frac{27-8}{6}\\=\frac{19}{6}\)
12. \(+\left(\frac{5}{2}\right)+\left(\frac{11}{-2}\right)\\= \frac{5}{2}-\frac{11}{2}\\=\frac{5-11}{2}\\=\frac{-6}{2}\\=\frac{-3}{1}\)