Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-2}{-7} : \left(\frac{-8}{-8}\right)\\=+\frac{2}{7} : \frac{1}{1}\\=+\frac{2}{7} . \frac{1}{1}\\=\frac{2.1}{7.1}\\=\frac{2}{7}\)
2. \(\frac{-3}{-14} : \frac{12}{5}\\=+\frac{3}{14} . \frac{5}{12}\\=\frac{3.5}{14.12}\\=\frac{15}{168}\\=\frac{5}{56}\)
3. \(\frac{-7}{6} : \left(\frac{-12}{-15}\right)\\=-\frac{7}{6} : \frac{4}{5}\\=-\frac{7}{6} . \frac{5}{4}\\=-\frac{7.5}{6.4}\\=-\frac{35}{24}\)
4. \(\frac{12}{13} : \left(\frac{-8}{5}\right)\\=-\frac{12}{13} . \frac{5}{8}\\=-\frac{12.5}{13.8}\\=-\frac{60}{104}\\=-\frac{15}{26}\)
5. \(\frac{-3}{3} : \left(\frac{9}{-4}\right)\\=+\frac{1}{1} : \frac{9}{4}\\=+\frac{1}{1} . \frac{4}{9}\\=\frac{1.4}{1.9}\\=\frac{4}{9}\)
6. \(\frac{9}{3} : \left(\frac{-6}{10}\right)\\=-\frac{3}{1} : \frac{3}{5}\\=-\frac{3}{1} . \frac{5}{3}\\=-\frac{3.5}{1.3}\\=-\frac{15}{3}\\=-\frac{5}{1}= 5\)
7. \(\frac{-11}{15} : \frac{10}{4}\\=-\frac{11}{15} : \frac{5}{2}\\=-\frac{11}{15} . \frac{2}{5}\\=-\frac{11.2}{15.5}\\=-\frac{22}{75}\)
8. \(\frac{-4}{-3} : \left(\frac{-2}{-12}\right)\\=+\frac{4}{3} : \frac{1}{6}\\=+\frac{4}{3} . \frac{6}{1}\\=\frac{4.6}{3.1}\\=\frac{24}{3}\\=\frac{8}{1}= 8\)
9. \(\frac{-2}{14} : \left(\frac{-12}{-15}\right)\\=-\frac{1}{7} : \frac{4}{5}\\=-\frac{1}{7} . \frac{5}{4}\\=-\frac{1.5}{7.4}\\=-\frac{5}{28}\)
10. \(\frac{-11}{7} : \left(\frac{4}{-14}\right)\\=+\frac{11}{7} : \frac{2}{7}\\=+\frac{11}{7} . \frac{7}{2}\\=\frac{11.7}{7.2}\\=\frac{77}{14}\\=\frac{11}{2}\)
11. \(\frac{9}{15} : \left(\frac{-11}{-4}\right)\\=+\frac{3}{5} : \frac{11}{4}\\=+\frac{3}{5} . \frac{4}{11}\\=\frac{3.4}{5.11}\\=\frac{12}{55}\)
12. \(\frac{11}{8} : \frac{7}{2}\\=+\frac{11}{8} . \frac{2}{7}\\=\frac{11.2}{8.7}\\=\frac{22}{56}\\=\frac{11}{28}\)