Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{7}{6}+\frac{8}{11}\\=\frac{77}{66}+\frac{48}{66}\\=\frac{77+48}{66}\\=\frac{125}{66}\)
2. \(\frac{9}{4}+\frac{7}{8}\\=\frac{18}{8}+\frac{7}{8}\\=\frac{18+7}{8}\\=\frac{25}{8}\)
3. \(\frac{6}{5}+\frac{8}{9}\\=\frac{54}{45}+\frac{40}{45}\\=\frac{54+40}{45}\\=\frac{94}{45}\)
4. \(\frac{10}{7}+\frac{4}{11}\\=\frac{110}{77}+\frac{28}{77}\\=\frac{110+28}{77}\\=\frac{138}{77}\)
5. \(\frac{10}{9}+\frac{2}{3}\\=\frac{10+2}{9}\\=\frac{12}{9}\\=\frac{4}{3}\)
6. \(\frac{6}{5}+\frac{5}{9}\\=\frac{54}{45}+\frac{25}{45}\\=\frac{54+25}{45}\\=\frac{79}{45}\)
7. \(\frac{4}{3}+\frac{9}{7}\\=\frac{28}{21}+\frac{27}{21}\\=\frac{28+27}{21}\\=\frac{55}{21}\)
8. \(\frac{4}{3}+\frac{2}{9}\\=\frac{12}{9}+\frac{2}{9}\\=\frac{12+2}{9}\\=\frac{14}{9}\)
9. \(\frac{9}{5}+\frac{6}{5}\\=\frac{9+6}{5}\\=\frac{15}{5}\\=3\)
10. \(\frac{10}{3}+\frac{8}{11}\\=\frac{110}{33}+\frac{24}{33}\\=\frac{110+24}{33}\\=\frac{134}{33}\)
11. \(\frac{4}{3}+\frac{9}{11}\\=\frac{44}{33}+\frac{27}{33}\\=\frac{44+27}{33}\\=\frac{71}{33}\)
12. \(\frac{10}{7}+\frac{6}{11}\\=\frac{110}{77}+\frac{42}{77}\\=\frac{110+42}{77}\\=\frac{152}{77}\)