Breuken delen (reeks 1)

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Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{12}{11} : \frac{2}{15}\\=\frac{12}{11} . \frac{15}{2}\\=\frac{12.15}{11.2}\\=\frac{180}{22}\\=\frac{90}{11}\)
2. \(\frac{7}{7} : \frac{12}{4}\\=\frac{1}{1} : \frac{3}{1}\\=\frac{1}{1} . \frac{1}{3}\\=\frac{1.1}{1.3}\\=\frac{1}{3}\)
3. \(\frac{3}{8} : \frac{3}{5}\\=\frac{3}{8} . \frac{5}{3}\\=\frac{3.5}{8.3}\\=\frac{15}{24}\\=\frac{5}{8}\)
4. \(\frac{9}{15} : \frac{6}{8}\\=\frac{3}{5} : \frac{3}{4}\\=\frac{3}{5} . \frac{4}{3}\\=\frac{3.4}{5.3}\\=\frac{12}{15}\\=\frac{4}{5}\)
5. \(\frac{6}{3} : \frac{12}{12}\\=\frac{2}{1} : \frac{1}{1}\\=\frac{2}{1} . \frac{1}{1}\\=\frac{2.1}{1.1}\\=\frac{2}{1}= 2\)
6. \(\frac{5}{3} : \frac{3}{3}\\=\frac{5}{3} : \frac{1}{1}\\=\frac{5}{3} . \frac{1}{1}\\=\frac{5.1}{3.1}\\=\frac{5}{3}\)
7. \(\frac{11}{5} : \frac{4}{8}\\=\frac{11}{5} : \frac{1}{2}\\=\frac{11}{5} . \frac{2}{1}\\=\frac{11.2}{5.1}\\=\frac{22}{5}\)
8. \(\frac{6}{12} : \frac{10}{10}\\=\frac{1}{2} : \frac{1}{1}\\=\frac{1}{2} . \frac{1}{1}\\=\frac{1.1}{2.1}\\=\frac{1}{2}\)
9. \(\frac{6}{14} : \frac{3}{14}\\=\frac{3}{7} : \frac{3}{14}\\=\frac{3}{7} . \frac{14}{3}\\=\frac{3.14}{7.3}\\=\frac{42}{21}\\=\frac{2}{1}= 2\)
10. \(\frac{10}{6} : \frac{10}{7}\\=\frac{5}{3} : \frac{10}{7}\\=\frac{5}{3} . \frac{7}{10}\\=\frac{5.7}{3.10}\\=\frac{35}{30}\\=\frac{7}{6}\)
11. \(\frac{6}{13} : \frac{5}{10}\\=\frac{6}{13} : \frac{1}{2}\\=\frac{6}{13} . \frac{2}{1}\\=\frac{6.2}{13.1}\\=\frac{12}{13}\)
12. \(\frac{12}{5} : \frac{4}{5}\\=\frac{12}{5} . \frac{5}{4}\\=\frac{12.5}{5.4}\\=\frac{60}{20}\\=\frac{3}{1}= 3\)