Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{11}{-4} : \left(\frac{-2}{-3}\right)\\=-\frac{11}{4} . \frac{3}{2}\\=-\frac{11.3}{4.2}\\=-\frac{33}{8}\)
2. \(\frac{7}{-3} : \left(\frac{-6}{-14}\right)\\=-\frac{7}{3} : \frac{3}{7}\\=-\frac{7}{3} . \frac{7}{3}\\=-\frac{7.7}{3.3}\\=-\frac{49}{9}\)
3. \(\frac{-2}{-8} : \left(\frac{-4}{-9}\right)\\=+\frac{1}{4} : \frac{4}{9}\\=+\frac{1}{4} . \frac{9}{4}\\=\frac{1.9}{4.4}\\=\frac{9}{16}\)
4. \(\frac{-8}{-3} : \frac{5}{4}\\=+\frac{8}{3} . \frac{4}{5}\\=\frac{8.4}{3.5}\\=\frac{32}{15}\)
5. \(\frac{12}{15} : \left(\frac{4}{-7}\right)\\=-\frac{4}{5} : \frac{4}{7}\\=-\frac{4}{5} . \frac{7}{4}\\=-\frac{4.7}{5.4}\\=-\frac{28}{20}\\=-\frac{7}{5}\)
6. \(\frac{-9}{-12} : \left(\frac{-9}{12}\right)\\=-\frac{3}{4} : \frac{3}{4}\\=-\frac{3}{4} . \frac{4}{3}\\=-\frac{3.4}{4.3}\\=-\frac{12}{12}\\=-\frac{1}{1}= 1\)
7. \(\frac{-8}{14} : \left(\frac{-8}{7}\right)\\=+\frac{4}{7} : \frac{8}{7}\\=+\frac{4}{7} . \frac{7}{8}\\=\frac{4.7}{7.8}\\=\frac{28}{56}\\=\frac{1}{2}\)
8. \(\frac{6}{6} : \left(\frac{-10}{-4}\right)\\=+\frac{1}{1} : \frac{5}{2}\\=+\frac{1}{1} . \frac{2}{5}\\=\frac{1.2}{1.5}\\=\frac{2}{5}\)
9. \(\frac{-11}{-8} : \left(\frac{-11}{12}\right)\\=-\frac{11}{8} . \frac{12}{11}\\=-\frac{11.12}{8.11}\\=-\frac{132}{88}\\=-\frac{3}{2}\)
10. \(\frac{-11}{-14} : \frac{7}{9}\\=+\frac{11}{14} . \frac{9}{7}\\=\frac{11.9}{14.7}\\=\frac{99}{98}\)
11. \(\frac{7}{-8} : \frac{9}{9}\\=-\frac{7}{8} : \frac{1}{1}\\=-\frac{7}{8} . \frac{1}{1}\\=-\frac{7.1}{8.1}\\=-\frac{7}{8}\)
12. \(\frac{-11}{-13} : \left(\frac{-11}{7}\right)\\=-\frac{11}{13} . \frac{7}{11}\\=-\frac{11.7}{13.11}\\=-\frac{77}{143}\\=-\frac{7}{13}\)