Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{7}{5} : \left(\frac{2}{-12}\right)\\=-\frac{7}{5} : \frac{1}{6}\\=-\frac{7}{5} . \frac{6}{1}\\=-\frac{7.6}{5.1}\\=-\frac{42}{5}\)
2. \(\frac{10}{7} : \left(\frac{10}{-11}\right)\\=-\frac{10}{7} . \frac{11}{10}\\=-\frac{10.11}{7.10}\\=-\frac{110}{70}\\=-\frac{11}{7}\)
3. \(\frac{-12}{13} : \frac{7}{10}\\=-\frac{12}{13} . \frac{10}{7}\\=-\frac{12.10}{13.7}\\=-\frac{120}{91}\)
4. \(\frac{11}{14} : \left(\frac{-9}{-2}\right)\\=+\frac{11}{14} . \frac{2}{9}\\=\frac{11.2}{14.9}\\=\frac{22}{126}\\=\frac{11}{63}\)
5. \(\frac{10}{-2} : \left(\frac{-8}{12}\right)\\=+\frac{5}{1} : \frac{2}{3}\\=+\frac{5}{1} . \frac{3}{2}\\=\frac{5.3}{1.2}\\=\frac{15}{2}\)
6. \(\frac{3}{15} : \left(\frac{12}{-2}\right)\\=-\frac{1}{5} : \frac{6}{1}\\=-\frac{1}{5} . \frac{1}{6}\\=-\frac{1.1}{5.6}\\=-\frac{1}{30}\)
7. \(\frac{6}{7} : \frac{4}{9}\\=+\frac{6}{7} . \frac{9}{4}\\=\frac{6.9}{7.4}\\=\frac{54}{28}\\=\frac{27}{14}\)
8. \(\frac{8}{12} : \left(\frac{-2}{10}\right)\\=-\frac{2}{3} : \frac{1}{5}\\=-\frac{2}{3} . \frac{5}{1}\\=-\frac{2.5}{3.1}\\=-\frac{10}{3}\)
9. \(\frac{-2}{5} : \left(\frac{10}{-13}\right)\\=+\frac{2}{5} . \frac{13}{10}\\=\frac{2.13}{5.10}\\=\frac{26}{50}\\=\frac{13}{25}\)
10. \(\frac{-11}{2} : \left(\frac{5}{-2}\right)\\=+\frac{11}{2} . \frac{2}{5}\\=\frac{11.2}{2.5}\\=\frac{22}{10}\\=\frac{11}{5}\)
11. \(\frac{6}{-8} : \left(\frac{-12}{11}\right)\\=+\frac{3}{4} : \frac{12}{11}\\=+\frac{3}{4} . \frac{11}{12}\\=\frac{3.11}{4.12}\\=\frac{33}{48}\\=\frac{11}{16}\)
12. \(\frac{12}{-11} : \frac{2}{10}\\=-\frac{12}{11} : \frac{1}{5}\\=-\frac{12}{11} . \frac{5}{1}\\=-\frac{12.5}{11.1}\\=-\frac{60}{11}\)