Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{8}{15} : \left(\frac{-3}{-14}\right)\\=+\frac{8}{15} . \frac{14}{3}\\=\frac{8.14}{15.3}\\=\frac{112}{45}\)
2. \(\frac{-3}{-5} : \left(\frac{7}{-5}\right)\\=-\frac{3}{5} . \frac{5}{7}\\=-\frac{3.5}{5.7}\\=-\frac{15}{35}\\=-\frac{3}{7}\)
3. \(\frac{2}{12} : \left(\frac{-2}{-9}\right)\\=+\frac{1}{6} : \frac{2}{9}\\=+\frac{1}{6} . \frac{9}{2}\\=\frac{1.9}{6.2}\\=\frac{9}{12}\\=\frac{3}{4}\)
4. \(\frac{-3}{-4} : \frac{9}{4}\\=+\frac{3}{4} . \frac{4}{9}\\=\frac{3.4}{4.9}\\=\frac{12}{36}\\=\frac{1}{3}\)
5. \(\frac{6}{9} : \frac{12}{15}\\=+\frac{2}{3} : \frac{4}{5}\\=+\frac{2}{3} . \frac{5}{4}\\=\frac{2.5}{3.4}\\=\frac{10}{12}\\=\frac{5}{6}\)
6. \(\frac{4}{-15} : \frac{2}{11}\\=-\frac{4}{15} . \frac{11}{2}\\=-\frac{4.11}{15.2}\\=-\frac{44}{30}\\=-\frac{22}{15}\)
7. \(\frac{4}{-9} : \left(\frac{-9}{-4}\right)\\=-\frac{4}{9} . \frac{4}{9}\\=-\frac{4.4}{9.9}\\=-\frac{16}{81}\)
8. \(\frac{12}{7} : \left(\frac{-9}{-10}\right)\\=+\frac{12}{7} . \frac{10}{9}\\=\frac{12.10}{7.9}\\=\frac{120}{63}\\=\frac{40}{21}\)
9. \(\frac{-5}{-7} : \frac{5}{7}\\=+\frac{5}{7} . \frac{7}{5}\\=\frac{5.7}{7.5}\\=\frac{35}{35}\\=\frac{1}{1}= 1\)
10. \(\frac{2}{-5} : \frac{5}{6}\\=-\frac{2}{5} . \frac{6}{5}\\=-\frac{2.6}{5.5}\\=-\frac{12}{25}\)
11. \(\frac{3}{-7} : \left(\frac{8}{-10}\right)\\=+\frac{3}{7} : \frac{4}{5}\\=+\frac{3}{7} . \frac{5}{4}\\=\frac{3.5}{7.4}\\=\frac{15}{28}\)
12. \(\frac{-11}{-7} : \left(\frac{2}{-8}\right)\\=-\frac{11}{7} : \frac{1}{4}\\=-\frac{11}{7} . \frac{4}{1}\\=-\frac{11.4}{7.1}\\=-\frac{44}{7}\)