Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-3}{-14} : \frac{10}{3}\\=+\frac{3}{14} . \frac{3}{10}\\=\frac{3.3}{14.10}\\=\frac{9}{140}\)
2. \(\frac{7}{-7} : \frac{7}{3}\\=-\frac{1}{1} : \frac{7}{3}\\=-\frac{1}{1} . \frac{3}{7}\\=-\frac{1.3}{1.7}\\=-\frac{3}{7}\)
3. \(\frac{11}{5} : \left(\frac{-10}{4}\right)\\=-\frac{11}{5} : \frac{5}{2}\\=-\frac{11}{5} . \frac{2}{5}\\=-\frac{11.2}{5.5}\\=-\frac{22}{25}\)
4. \(\frac{-11}{-5} : \left(\frac{-4}{9}\right)\\=-\frac{11}{5} . \frac{9}{4}\\=-\frac{11.9}{5.4}\\=-\frac{99}{20}\)
5. \(\frac{10}{-3} : \left(\frac{-2}{-8}\right)\\=-\frac{10}{3} : \frac{1}{4}\\=-\frac{10}{3} . \frac{4}{1}\\=-\frac{10.4}{3.1}\\=-\frac{40}{3}\)
6. \(\frac{2}{-4} : \left(\frac{-10}{-6}\right)\\=-\frac{1}{2} : \frac{5}{3}\\=-\frac{1}{2} . \frac{3}{5}\\=-\frac{1.3}{2.5}\\=-\frac{3}{10}\)
7. \(\frac{6}{-9} : \left(\frac{-3}{10}\right)\\=+\frac{2}{3} : \frac{3}{10}\\=+\frac{2}{3} . \frac{10}{3}\\=\frac{2.10}{3.3}\\=\frac{20}{9}\)
8. \(\frac{12}{-3} : \frac{3}{15}\\=-\frac{4}{1} : \frac{1}{5}\\=-\frac{4}{1} . \frac{5}{1}\\=-\frac{4.5}{1.1}\\=-\frac{20}{1}= 20\)
9. \(\frac{8}{11} : \left(\frac{-2}{-12}\right)\\=+\frac{8}{11} : \frac{1}{6}\\=+\frac{8}{11} . \frac{6}{1}\\=\frac{8.6}{11.1}\\=\frac{48}{11}\)
10. \(\frac{-11}{-2} : \frac{3}{6}\\=+\frac{11}{2} : \frac{1}{2}\\=+\frac{11}{2} . \frac{2}{1}\\=\frac{11.2}{2.1}\\=\frac{22}{2}\\=\frac{11}{1}= 11\)
11. \(\frac{9}{-5} : \left(\frac{-12}{9}\right)\\=+\frac{9}{5} : \frac{4}{3}\\=+\frac{9}{5} . \frac{3}{4}\\=\frac{9.3}{5.4}\\=\frac{27}{20}\)
12. \(\frac{-8}{-2} : \left(\frac{-10}{14}\right)\\=-\frac{4}{1} : \frac{5}{7}\\=-\frac{4}{1} . \frac{7}{5}\\=-\frac{4.7}{1.5}\\=-\frac{28}{5}\)