Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{7}{10} : \frac{11}{10}\\=\frac{7}{10} . \frac{10}{11}\\=\frac{7.10}{10.11}\\=\frac{70}{110}\\=\frac{7}{11}\)
2. \(\frac{9}{15} : \frac{5}{14}\\=\frac{3}{5} : \frac{5}{14}\\=\frac{3}{5} . \frac{14}{5}\\=\frac{3.14}{5.5}\\=\frac{42}{25}\)
3. \(\frac{6}{15} : \frac{11}{11}\\=\frac{2}{5} : \frac{1}{1}\\=\frac{2}{5} . \frac{1}{1}\\=\frac{2.1}{5.1}\\=\frac{2}{5}\)
4. \(\frac{10}{10} : \frac{4}{4}\\=\frac{1}{1} : \frac{1}{1}\\=\frac{1}{1} . \frac{1}{1}\\=\frac{1.1}{1.1}\\=\frac{1}{1}= 1\)
5. \(\frac{8}{15} : \frac{12}{10}\\=\frac{8}{15} : \frac{6}{5}\\=\frac{8}{15} . \frac{5}{6}\\=\frac{8.5}{15.6}\\=\frac{40}{90}\\=\frac{4}{9}\)
6. \(\frac{3}{13} : \frac{11}{9}\\=\frac{3}{13} . \frac{9}{11}\\=\frac{3.9}{13.11}\\=\frac{27}{143}\)
7. \(\frac{10}{6} : \frac{8}{9}\\=\frac{5}{3} : \frac{8}{9}\\=\frac{5}{3} . \frac{9}{8}\\=\frac{5.9}{3.8}\\=\frac{45}{24}\\=\frac{15}{8}\)
8. \(\frac{11}{15} : \frac{2}{14}\\=\frac{11}{15} : \frac{1}{7}\\=\frac{11}{15} . \frac{7}{1}\\=\frac{11.7}{15.1}\\=\frac{77}{15}\)
9. \(\frac{6}{11} : \frac{10}{2}\\=\frac{6}{11} : \frac{5}{1}\\=\frac{6}{11} . \frac{1}{5}\\=\frac{6.1}{11.5}\\=\frac{6}{55}\)
10. \(\frac{12}{5} : \frac{5}{5}\\=\frac{12}{5} : \frac{1}{1}\\=\frac{12}{5} . \frac{1}{1}\\=\frac{12.1}{5.1}\\=\frac{12}{5}\)
11. \(\frac{3}{15} : \frac{9}{5}\\=\frac{1}{5} : \frac{9}{5}\\=\frac{1}{5} . \frac{5}{9}\\=\frac{1.5}{5.9}\\=\frac{5}{45}\\=\frac{1}{9}\)
12. \(\frac{12}{2} : \frac{2}{13}\\=\frac{6}{1} : \frac{2}{13}\\=\frac{6}{1} . \frac{13}{2}\\=\frac{6.13}{1.2}\\=\frac{78}{2}\\=\frac{39}{1}= 39\)