Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{7}{5} : \frac{12}{14}\\=+\frac{7}{5} : \frac{6}{7}\\=+\frac{7}{5} . \frac{7}{6}\\=\frac{7.7}{5.6}\\=\frac{49}{30}\)
2. \(\frac{-4}{12} : \left(\frac{6}{-2}\right)\\=+\frac{1}{3} : \frac{3}{1}\\=+\frac{1}{3} . \frac{1}{3}\\=\frac{1.1}{3.3}\\=\frac{1}{9}\)
3. \(\frac{-2}{9} : \left(\frac{10}{-6}\right)\\=+\frac{2}{9} : \frac{5}{3}\\=+\frac{2}{9} . \frac{3}{5}\\=\frac{2.3}{9.5}\\=\frac{6}{45}\\=\frac{2}{15}\)
4. \(\frac{-9}{8} : \frac{5}{4}\\=-\frac{9}{8} . \frac{4}{5}\\=-\frac{9.4}{8.5}\\=-\frac{36}{40}\\=-\frac{9}{10}\)
5. \(\frac{-7}{10} : \frac{6}{11}\\=-\frac{7}{10} . \frac{11}{6}\\=-\frac{7.11}{10.6}\\=-\frac{77}{60}\)
6. \(\frac{-5}{-9} : \frac{9}{5}\\=+\frac{5}{9} . \frac{5}{9}\\=\frac{5.5}{9.9}\\=\frac{25}{81}\)
7. \(\frac{8}{6} : \left(\frac{5}{-10}\right)\\=-\frac{4}{3} : \frac{1}{2}\\=-\frac{4}{3} . \frac{2}{1}\\=-\frac{4.2}{3.1}\\=-\frac{8}{3}\)
8. \(\frac{-10}{-2} : \frac{4}{15}\\=+\frac{5}{1} : \frac{4}{15}\\=+\frac{5}{1} . \frac{15}{4}\\=\frac{5.15}{1.4}\\=\frac{75}{4}\)
9. \(\frac{6}{3} : \frac{9}{5}\\=+\frac{2}{1} : \frac{9}{5}\\=+\frac{2}{1} . \frac{5}{9}\\=\frac{2.5}{1.9}\\=\frac{10}{9}\)
10. \(\frac{-10}{5} : \left(\frac{-2}{11}\right)\\=+\frac{2}{1} : \frac{2}{11}\\=+\frac{2}{1} . \frac{11}{2}\\=\frac{2.11}{1.2}\\=\frac{22}{2}\\=\frac{11}{1}= 11\)
11. \(\frac{-10}{2} : \left(\frac{-4}{7}\right)\\=+\frac{5}{1} : \frac{4}{7}\\=+\frac{5}{1} . \frac{7}{4}\\=\frac{5.7}{1.4}\\=\frac{35}{4}\)
12. \(\frac{-2}{-10} : \left(\frac{5}{-15}\right)\\=-\frac{1}{5} : \frac{1}{3}\\=-\frac{1}{5} . \frac{3}{1}\\=-\frac{1.3}{5.1}\\=-\frac{3}{5}\)