Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{9}{3} : \left(\frac{-7}{-10}\right)\\=+\frac{3}{1} : \frac{7}{10}\\=+\frac{3}{1} . \frac{10}{7}\\=\frac{3.10}{1.7}\\=\frac{30}{7}\)
2. \(\frac{-11}{-3} : \left(\frac{-9}{-13}\right)\\=+\frac{11}{3} . \frac{13}{9}\\=\frac{11.13}{3.9}\\=\frac{143}{27}\)
3. \(\frac{6}{-11} : \frac{6}{12}\\=-\frac{6}{11} : \frac{1}{2}\\=-\frac{6}{11} . \frac{2}{1}\\=-\frac{6.2}{11.1}\\=-\frac{12}{11}\)
4. \(\frac{-6}{14} : \left(\frac{7}{-3}\right)\\=+\frac{3}{7} : \frac{7}{3}\\=+\frac{3}{7} . \frac{3}{7}\\=\frac{3.3}{7.7}\\=\frac{9}{49}\)
5. \(\frac{12}{-12} : \frac{12}{10}\\=-\frac{1}{1} : \frac{6}{5}\\=-\frac{1}{1} . \frac{5}{6}\\=-\frac{1.5}{1.6}\\=-\frac{5}{6}\)
6. \(\frac{7}{2} : \frac{8}{15}\\=+\frac{7}{2} . \frac{15}{8}\\=\frac{7.15}{2.8}\\=\frac{105}{16}\)
7. \(\frac{6}{8} : \left(\frac{-3}{13}\right)\\=-\frac{3}{4} : \frac{3}{13}\\=-\frac{3}{4} . \frac{13}{3}\\=-\frac{3.13}{4.3}\\=-\frac{39}{12}\\=-\frac{13}{4}\)
8. \(\frac{12}{-13} : \left(\frac{-4}{-2}\right)\\=-\frac{12}{13} : \frac{2}{1}\\=-\frac{12}{13} . \frac{1}{2}\\=-\frac{12.1}{13.2}\\=-\frac{12}{26}\\=-\frac{6}{13}\)
9. \(\frac{12}{-10} : \left(\frac{-12}{-14}\right)\\=-\frac{6}{5} : \frac{6}{7}\\=-\frac{6}{5} . \frac{7}{6}\\=-\frac{6.7}{5.6}\\=-\frac{42}{30}\\=-\frac{7}{5}\)
10. \(\frac{-12}{-5} : \left(\frac{-4}{12}\right)\\=-\frac{12}{5} : \frac{1}{3}\\=-\frac{12}{5} . \frac{3}{1}\\=-\frac{12.3}{5.1}\\=-\frac{36}{5}\)
11. \(\frac{7}{8} : \left(\frac{-11}{2}\right)\\=-\frac{7}{8} . \frac{2}{11}\\=-\frac{7.2}{8.11}\\=-\frac{14}{88}\\=-\frac{7}{44}\)
12. \(\frac{-12}{-7} : \left(\frac{-11}{-4}\right)\\=+\frac{12}{7} . \frac{4}{11}\\=\frac{12.4}{7.11}\\=\frac{48}{77}\)