Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{12}{9} : \frac{10}{3}\\=\frac{4}{3} : \frac{10}{3}\\=\frac{4}{3} . \frac{3}{10}\\=\frac{4.3}{3.10}\\=\frac{12}{30}\\=\frac{2}{5}\)
2. \(\frac{3}{10} : \frac{8}{5}\\=\frac{3}{10} . \frac{5}{8}\\=\frac{3.5}{10.8}\\=\frac{15}{80}\\=\frac{3}{16}\)
3. \(\frac{5}{7} : \frac{7}{5}\\=\frac{5}{7} . \frac{5}{7}\\=\frac{5.5}{7.7}\\=\frac{25}{49}\)
4. \(\frac{10}{6} : \frac{2}{6}\\=\frac{5}{3} : \frac{1}{3}\\=\frac{5}{3} . \frac{3}{1}\\=\frac{5.3}{3.1}\\=\frac{15}{3}\\=\frac{5}{1}= 5\)
5. \(\frac{9}{7} : \frac{10}{5}\\=\frac{9}{7} : \frac{2}{1}\\=\frac{9}{7} . \frac{1}{2}\\=\frac{9.1}{7.2}\\=\frac{9}{14}\)
6. \(\frac{11}{4} : \frac{10}{7}\\=\frac{11}{4} . \frac{7}{10}\\=\frac{11.7}{4.10}\\=\frac{77}{40}\)
7. \(\frac{4}{14} : \frac{6}{6}\\=\frac{2}{7} : \frac{1}{1}\\=\frac{2}{7} . \frac{1}{1}\\=\frac{2.1}{7.1}\\=\frac{2}{7}\)
8. \(\frac{3}{4} : \frac{12}{14}\\=\frac{3}{4} : \frac{6}{7}\\=\frac{3}{4} . \frac{7}{6}\\=\frac{3.7}{4.6}\\=\frac{21}{24}\\=\frac{7}{8}\)
9. \(\frac{4}{5} : \frac{5}{3}\\=\frac{4}{5} . \frac{3}{5}\\=\frac{4.3}{5.5}\\=\frac{12}{25}\)
10. \(\frac{3}{15} : \frac{9}{2}\\=\frac{1}{5} : \frac{9}{2}\\=\frac{1}{5} . \frac{2}{9}\\=\frac{1.2}{5.9}\\=\frac{2}{45}\)
11. \(\frac{3}{12} : \frac{10}{4}\\=\frac{1}{4} : \frac{5}{2}\\=\frac{1}{4} . \frac{2}{5}\\=\frac{1.2}{4.5}\\=\frac{2}{20}\\=\frac{1}{10}\)
12. \(\frac{10}{7} : \frac{5}{6}\\=\frac{10}{7} . \frac{6}{5}\\=\frac{10.6}{7.5}\\=\frac{60}{35}\\=\frac{12}{7}\)