Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{-7}\right)+\left(\frac{-14}{-13}\right)\\= \frac{15}{7}+\frac{14}{13}\\=\frac{195}{91}+\frac{98}{91}\\=\frac{195+98}{91}\\=\frac{293}{91}\)
2. \(+\left(\frac{12}{7}\right)-\left(\frac{14}{-5}\right)\\= \frac{12}{7}+\frac{14}{5}\\=\frac{60}{35}+\frac{98}{35}\\=\frac{60+98}{35}\\=\frac{158}{35}\)
3. \(-\left(\frac{-4}{3}\right)-\left(\frac{-4}{-11}\right)\\= \frac{4}{3}-\frac{4}{11}\\=\frac{44}{33}-\frac{12}{33}\\=\frac{44-12}{33}\\=\frac{32}{33}\)
4. \(+\left(\frac{-4}{-11}\right)-\left(\frac{5}{-2}\right)\\= \frac{4}{11}+\frac{5}{2}\\=\frac{8}{22}+\frac{55}{22}\\=\frac{8+55}{22}\\=\frac{63}{22}\)
5. \(+\left(\frac{-7}{3}\right)-\left(\frac{-4}{3}\right)\\= \frac{-7}{3}+\frac{4}{3}\\=\frac{-7+4}{3}\\=\frac{-3}{3}\\=\frac{-1}{1}\)
6. \(+\left(\frac{3}{-2}\right)-\left(\frac{4}{-9}\right)\\= \frac{-3}{2}+\frac{4}{9}\\=\frac{-27}{18}+\frac{8}{18}\\=\frac{-27+8}{18}\\=\frac{-19}{18}\)
7. \(-\left(\frac{-14}{-11}\right)+\left(\frac{9}{-2}\right)\\= \frac{-14}{11}-\frac{9}{2}\\=\frac{-28}{22}-\frac{99}{22}\\=\frac{-28-99}{22}\\=\frac{-127}{22}\)
8. \(+\left(\frac{-4}{-11}\right)+\left(\frac{5}{-11}\right)\\= \frac{4}{11}-\frac{5}{11}\\=\frac{4-5}{11}\\=\frac{-1}{11}\)
9. \(-\left(\frac{-2}{3}\right)-\left(\frac{-6}{7}\right)\\= \frac{2}{3}+\frac{6}{7}\\=\frac{14}{21}+\frac{18}{21}\\=\frac{14+18}{21}\\=\frac{32}{21}\)
10. \(-\left(\frac{6}{-5}\right)+\left(\frac{7}{-4}\right)\\= \frac{6}{5}-\frac{7}{4}\\=\frac{24}{20}-\frac{35}{20}\\=\frac{24-35}{20}\\=\frac{-11}{20}\)
11. \(+\left(\frac{13}{3}\right)-\left(\frac{-13}{-12}\right)\\= \frac{13}{3}-\frac{13}{12}\\=\frac{52}{12}-\frac{13}{12}\\=\frac{52-13}{12}\\=\frac{39}{12}\\=\frac{13}{4}\)
12. \(+\left(\frac{-10}{7}\right)-\left(\frac{-3}{-13}\right)\\= \frac{-10}{7}-\frac{3}{13}\\=\frac{-130}{91}-\frac{21}{91}\\=\frac{-130-21}{91}\\=\frac{-151}{91}\)