Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{7}{9} : \frac{8}{5}\\=\frac{7}{9} . \frac{5}{8}\\=\frac{7.5}{9.8}\\=\frac{35}{72}\)
2. \(\frac{4}{7} : \frac{12}{15}\\=\frac{4}{7} : \frac{4}{5}\\=\frac{4}{7} . \frac{5}{4}\\=\frac{4.5}{7.4}\\=\frac{20}{28}\\=\frac{5}{7}\)
3. \(\frac{6}{10} : \frac{8}{13}\\=\frac{3}{5} : \frac{8}{13}\\=\frac{3}{5} . \frac{13}{8}\\=\frac{3.13}{5.8}\\=\frac{39}{40}\)
4. \(\frac{6}{4} : \frac{4}{12}\\=\frac{3}{2} : \frac{1}{3}\\=\frac{3}{2} . \frac{3}{1}\\=\frac{3.3}{2.1}\\=\frac{9}{2}\)
5. \(\frac{11}{2} : \frac{10}{4}\\=\frac{11}{2} : \frac{5}{2}\\=\frac{11}{2} . \frac{2}{5}\\=\frac{11.2}{2.5}\\=\frac{22}{10}\\=\frac{11}{5}\)
6. \(\frac{9}{15} : \frac{8}{15}\\=\frac{3}{5} : \frac{8}{15}\\=\frac{3}{5} . \frac{15}{8}\\=\frac{3.15}{5.8}\\=\frac{45}{40}\\=\frac{9}{8}\)
7. \(\frac{3}{8} : \frac{6}{10}\\=\frac{3}{8} : \frac{3}{5}\\=\frac{3}{8} . \frac{5}{3}\\=\frac{3.5}{8.3}\\=\frac{15}{24}\\=\frac{5}{8}\)
8. \(\frac{10}{15} : \frac{2}{14}\\=\frac{2}{3} : \frac{1}{7}\\=\frac{2}{3} . \frac{7}{1}\\=\frac{2.7}{3.1}\\=\frac{14}{3}\)
9. \(\frac{2}{13} : \frac{3}{8}\\=\frac{2}{13} . \frac{8}{3}\\=\frac{2.8}{13.3}\\=\frac{16}{39}\)
10. \(\frac{8}{2} : \frac{2}{2}\\=\frac{4}{1} : \frac{1}{1}\\=\frac{4}{1} . \frac{1}{1}\\=\frac{4.1}{1.1}\\=\frac{4}{1}= 4\)
11. \(\frac{4}{3} : \frac{11}{12}\\=\frac{4}{3} . \frac{12}{11}\\=\frac{4.12}{3.11}\\=\frac{48}{33}\\=\frac{16}{11}\)
12. \(\frac{7}{3} : \frac{7}{14}\\=\frac{7}{3} : \frac{1}{2}\\=\frac{7}{3} . \frac{2}{1}\\=\frac{7.2}{3.1}\\=\frac{14}{3}\)