Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{6}{11}+\frac{5}{11}\\=\frac{6+5}{11}\\=\frac{11}{11}\\=1\)
2. \(\frac{7}{5}+\frac{4}{11}\\=\frac{77}{55}+\frac{20}{55}\\=\frac{77+20}{55}\\=\frac{97}{55}\)
3. \(\frac{9}{7}+\frac{10}{9}\\=\frac{81}{63}+\frac{70}{63}\\=\frac{81+70}{63}\\=\frac{151}{63}\)
4. \(\frac{6}{11}+\frac{4}{9}\\=\frac{54}{99}+\frac{44}{99}\\=\frac{54+44}{99}\\=\frac{98}{99}\)
5. \(\frac{7}{6}+\frac{7}{10}\\=\frac{35}{30}+\frac{21}{30}\\=\frac{35+21}{30}\\=\frac{56}{30}\\=\frac{28}{15}\)
6. \(\frac{6}{5}+\frac{7}{8}\\=\frac{48}{40}+\frac{35}{40}\\=\frac{48+35}{40}\\=\frac{83}{40}\)
7. \(\frac{8}{11}+\frac{3}{7}\\=\frac{56}{77}+\frac{33}{77}\\=\frac{56+33}{77}\\=\frac{89}{77}\)
8. \(\frac{10}{7}+\frac{7}{8}\\=\frac{80}{56}+\frac{49}{56}\\=\frac{80+49}{56}\\=\frac{129}{56}\)
9. \(\frac{7}{5}+\frac{8}{9}\\=\frac{63}{45}+\frac{40}{45}\\=\frac{63+40}{45}\\=\frac{103}{45}\)
10. \(\frac{9}{2}+\frac{3}{8}\\=\frac{36}{8}+\frac{3}{8}\\=\frac{36+3}{8}\\=\frac{39}{8}\)
11. \(\frac{10}{3}+\frac{8}{3}\\=\frac{10+8}{3}\\=\frac{18}{3}\\=6\)
12. \(\frac{9}{2}+\frac{4}{5}\\=\frac{45}{10}+\frac{8}{10}\\=\frac{45+8}{10}\\=\frac{53}{10}\)