Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-8}{-15} : \left(\frac{-6}{2}\right)\\=-\frac{8}{15} : \frac{3}{1}\\=-\frac{8}{15} . \frac{1}{3}\\=-\frac{8.1}{15.3}\\=-\frac{8}{45}\)
2. \(\frac{7}{13} : \left(\frac{-4}{14}\right)\\=-\frac{7}{13} : \frac{2}{7}\\=-\frac{7}{13} . \frac{7}{2}\\=-\frac{7.7}{13.2}\\=-\frac{49}{26}\)
3. \(\frac{12}{-3} : \frac{5}{3}\\=-\frac{4}{1} : \frac{5}{3}\\=-\frac{4}{1} . \frac{3}{5}\\=-\frac{4.3}{1.5}\\=-\frac{12}{5}\)
4. \(\frac{11}{8} : \frac{8}{8}\\=+\frac{11}{8} : \frac{1}{1}\\=+\frac{11}{8} . \frac{1}{1}\\=\frac{11.1}{8.1}\\=\frac{11}{8}\)
5. \(\frac{6}{-3} : \left(\frac{-7}{-8}\right)\\=-\frac{2}{1} : \frac{7}{8}\\=-\frac{2}{1} . \frac{8}{7}\\=-\frac{2.8}{1.7}\\=-\frac{16}{7}\)
6. \(\frac{2}{-10} : \left(\frac{-2}{-8}\right)\\=-\frac{1}{5} : \frac{1}{4}\\=-\frac{1}{5} . \frac{4}{1}\\=-\frac{1.4}{5.1}\\=-\frac{4}{5}\)
7. \(\frac{3}{-5} : \left(\frac{-8}{-7}\right)\\=-\frac{3}{5} . \frac{7}{8}\\=-\frac{3.7}{5.8}\\=-\frac{21}{40}\)
8. \(\frac{-10}{-13} : \left(\frac{-10}{-11}\right)\\=+\frac{10}{13} . \frac{11}{10}\\=\frac{10.11}{13.10}\\=\frac{110}{130}\\=\frac{11}{13}\)
9. \(\frac{7}{-12} : \left(\frac{-6}{-7}\right)\\=-\frac{7}{12} . \frac{7}{6}\\=-\frac{7.7}{12.6}\\=-\frac{49}{72}\)
10. \(\frac{11}{-9} : \left(\frac{-4}{-8}\right)\\=-\frac{11}{9} : \frac{1}{2}\\=-\frac{11}{9} . \frac{2}{1}\\=-\frac{11.2}{9.1}\\=-\frac{22}{9}\)
11. \(\frac{-9}{12} : \frac{6}{13}\\=-\frac{3}{4} : \frac{6}{13}\\=-\frac{3}{4} . \frac{13}{6}\\=-\frac{3.13}{4.6}\\=-\frac{39}{24}\\=-\frac{13}{8}\)
12. \(\frac{11}{15} : \left(\frac{8}{-7}\right)\\=-\frac{11}{15} . \frac{7}{8}\\=-\frac{11.7}{15.8}\\=-\frac{77}{120}\)