Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{4}{15} : \frac{7}{13}\\=\frac{4}{15} . \frac{13}{7}\\=\frac{4.13}{15.7}\\=\frac{52}{105}\)
2. \(\frac{6}{2} : \frac{3}{12}\\=\frac{3}{1} : \frac{1}{4}\\=\frac{3}{1} . \frac{4}{1}\\=\frac{3.4}{1.1}\\=\frac{12}{1}= 12\)
3. \(\frac{11}{2} : \frac{7}{4}\\=\frac{11}{2} . \frac{4}{7}\\=\frac{11.4}{2.7}\\=\frac{44}{14}\\=\frac{22}{7}\)
4. \(\frac{8}{7} : \frac{4}{14}\\=\frac{8}{7} : \frac{2}{7}\\=\frac{8}{7} . \frac{7}{2}\\=\frac{8.7}{7.2}\\=\frac{56}{14}\\=\frac{4}{1}= 4\)
5. \(\frac{7}{12} : \frac{3}{7}\\=\frac{7}{12} . \frac{7}{3}\\=\frac{7.7}{12.3}\\=\frac{49}{36}\)
6. \(\frac{9}{2} : \frac{2}{4}\\=\frac{9}{2} : \frac{1}{2}\\=\frac{9}{2} . \frac{2}{1}\\=\frac{9.2}{2.1}\\=\frac{18}{2}\\=\frac{9}{1}= 9\)
7. \(\frac{9}{7} : \frac{8}{4}\\=\frac{9}{7} : \frac{2}{1}\\=\frac{9}{7} . \frac{1}{2}\\=\frac{9.1}{7.2}\\=\frac{9}{14}\)
8. \(\frac{7}{3} : \frac{12}{3}\\=\frac{7}{3} : \frac{4}{1}\\=\frac{7}{3} . \frac{1}{4}\\=\frac{7.1}{3.4}\\=\frac{7}{12}\)
9. \(\frac{11}{5} : \frac{5}{9}\\=\frac{11}{5} . \frac{9}{5}\\=\frac{11.9}{5.5}\\=\frac{99}{25}\)
10. \(\frac{11}{6} : \frac{6}{4}\\=\frac{11}{6} : \frac{3}{2}\\=\frac{11}{6} . \frac{2}{3}\\=\frac{11.2}{6.3}\\=\frac{22}{18}\\=\frac{11}{9}\)
11. \(\frac{5}{12} : \frac{10}{14}\\=\frac{5}{12} : \frac{5}{7}\\=\frac{5}{12} . \frac{7}{5}\\=\frac{5.7}{12.5}\\=\frac{35}{60}\\=\frac{7}{12}\)
12. \(\frac{7}{8} : \frac{7}{15}\\=\frac{7}{8} . \frac{15}{7}\\=\frac{7.15}{8.7}\\=\frac{105}{56}\\=\frac{15}{8}\)