Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-11}{-3} : \frac{5}{14}\\=+\frac{11}{3} . \frac{14}{5}\\=\frac{11.14}{3.5}\\=\frac{154}{15}\)
2. \(\frac{-3}{-5} : \left(\frac{-3}{7}\right)\\=-\frac{3}{5} . \frac{7}{3}\\=-\frac{3.7}{5.3}\\=-\frac{21}{15}\\=-\frac{7}{5}\)
3. \(\frac{-7}{8} : \left(\frac{10}{-14}\right)\\=+\frac{7}{8} : \frac{5}{7}\\=+\frac{7}{8} . \frac{7}{5}\\=\frac{7.7}{8.5}\\=\frac{49}{40}\)
4. \(\frac{2}{10} : \frac{8}{2}\\=+\frac{1}{5} : \frac{4}{1}\\=+\frac{1}{5} . \frac{1}{4}\\=\frac{1.1}{5.4}\\=\frac{1}{20}\)
5. \(\frac{-11}{-10} : \left(\frac{-9}{6}\right)\\=-\frac{11}{10} : \frac{3}{2}\\=-\frac{11}{10} . \frac{2}{3}\\=-\frac{11.2}{10.3}\\=-\frac{22}{30}\\=-\frac{11}{15}\)
6. \(\frac{2}{12} : \frac{5}{8}\\=+\frac{1}{6} : \frac{5}{8}\\=+\frac{1}{6} . \frac{8}{5}\\=\frac{1.8}{6.5}\\=\frac{8}{30}\\=\frac{4}{15}\)
7. \(\frac{9}{3} : \frac{2}{5}\\=+\frac{3}{1} : \frac{2}{5}\\=+\frac{3}{1} . \frac{5}{2}\\=\frac{3.5}{1.2}\\=\frac{15}{2}\)
8. \(\frac{-8}{-15} : \left(\frac{-9}{15}\right)\\=-\frac{8}{15} : \frac{3}{5}\\=-\frac{8}{15} . \frac{5}{3}\\=-\frac{8.5}{15.3}\\=-\frac{40}{45}\\=-\frac{8}{9}\)
9. \(\frac{-9}{14} : \left(\frac{4}{-13}\right)\\=+\frac{9}{14} . \frac{13}{4}\\=\frac{9.13}{14.4}\\=\frac{117}{56}\)
10. \(\frac{8}{-14} : \left(\frac{8}{-3}\right)\\=+\frac{4}{7} : \frac{8}{3}\\=+\frac{4}{7} . \frac{3}{8}\\=\frac{4.3}{7.8}\\=\frac{12}{56}\\=\frac{3}{14}\)
11. \(\frac{-2}{14} : \left(\frac{-2}{7}\right)\\=+\frac{1}{7} : \frac{2}{7}\\=+\frac{1}{7} . \frac{7}{2}\\=\frac{1.7}{7.2}\\=\frac{7}{14}\\=\frac{1}{2}\)
12. \(\frac{-10}{-12} : \left(\frac{-12}{-6}\right)\\=+\frac{5}{6} : \frac{2}{1}\\=+\frac{5}{6} . \frac{1}{2}\\=\frac{5.1}{6.2}\\=\frac{5}{12}\)