Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{6}{5}+\frac{4}{5}\\=\frac{6+4}{5}\\=\frac{10}{5}\\=2\)
2. \(\frac{5}{6}+\frac{2}{5}\\=\frac{25}{30}+\frac{12}{30}\\=\frac{25+12}{30}\\=\frac{37}{30}\)
3. \(\frac{7}{6}+\frac{5}{11}\\=\frac{77}{66}+\frac{30}{66}\\=\frac{77+30}{66}\\=\frac{107}{66}\)
4. \(\frac{7}{8}+\frac{2}{7}\\=\frac{49}{56}+\frac{16}{56}\\=\frac{49+16}{56}\\=\frac{65}{56}\)
5. \(\frac{8}{3}+\frac{8}{5}\\=\frac{40}{15}+\frac{24}{15}\\=\frac{40+24}{15}\\=\frac{64}{15}\)
6. \(\frac{8}{7}+\frac{10}{11}\\=\frac{88}{77}+\frac{70}{77}\\=\frac{88+70}{77}\\=\frac{158}{77}\)
7. \(\frac{6}{11}+\frac{2}{5}\\=\frac{30}{55}+\frac{22}{55}\\=\frac{30+22}{55}\\=\frac{52}{55}\)
8. \(\frac{7}{5}+\frac{4}{9}\\=\frac{63}{45}+\frac{20}{45}\\=\frac{63+20}{45}\\=\frac{83}{45}\)
9. \(\frac{8}{3}+\frac{3}{2}\\=\frac{16}{6}+\frac{9}{6}\\=\frac{16+9}{6}\\=\frac{25}{6}\)
10. \(\frac{6}{5}+\frac{5}{7}\\=\frac{42}{35}+\frac{25}{35}\\=\frac{42+25}{35}\\=\frac{67}{35}\)
11. \(\frac{9}{8}+\frac{3}{10}\\=\frac{45}{40}+\frac{12}{40}\\=\frac{45+12}{40}\\=\frac{57}{40}\)
12. \(\frac{6}{5}+\frac{7}{11}\\=\frac{66}{55}+\frac{35}{55}\\=\frac{66+35}{55}\\=\frac{101}{55}\)