Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{8}{3}+\frac{2}{9}\\=\frac{24}{9}+\frac{2}{9}\\=\frac{24+2}{9}\\=\frac{26}{9}\)
2. \(\frac{3}{2}+\frac{3}{4}\\=\frac{6}{4}+\frac{3}{4}\\=\frac{6+3}{4}\\=\frac{9}{4}\)
3. \(\frac{8}{3}+\frac{3}{7}\\=\frac{56}{21}+\frac{9}{21}\\=\frac{56+9}{21}\\=\frac{65}{21}\)
4. \(\frac{9}{4}+\frac{3}{8}\\=\frac{18}{8}+\frac{3}{8}\\=\frac{18+3}{8}\\=\frac{21}{8}\)
5. \(\frac{10}{3}+\frac{5}{3}\\=\frac{10+5}{3}\\=\frac{15}{3}\\=5\)
6. \(\frac{8}{7}+\frac{3}{4}\\=\frac{32}{28}+\frac{21}{28}\\=\frac{32+21}{28}\\=\frac{53}{28}\)
7. \(\frac{2}{3}+\frac{2}{9}\\=\frac{6}{9}+\frac{2}{9}\\=\frac{6+2}{9}\\=\frac{8}{9}\)
8. \(\frac{5}{2}+\frac{5}{6}\\=\frac{15}{6}+\frac{5}{6}\\=\frac{15+5}{6}\\=\frac{20}{6}\\=\frac{10}{3}\)
9. \(\frac{6}{5}+\frac{3}{5}\\=\frac{6+3}{5}\\=\frac{9}{5}\)
10. \(\frac{5}{4}+\frac{7}{9}\\=\frac{45}{36}+\frac{28}{36}\\=\frac{45+28}{36}\\=\frac{73}{36}\)
11. \(\frac{9}{2}+\frac{5}{7}\\=\frac{63}{14}+\frac{10}{14}\\=\frac{63+10}{14}\\=\frac{73}{14}\)
12. \(\frac{9}{8}+\frac{7}{11}\\=\frac{99}{88}+\frac{56}{88}\\=\frac{99+56}{88}\\=\frac{155}{88}\)