Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{7}+\frac{7}{6}\\=\frac{60}{42}+\frac{49}{42}\\=\frac{60+49}{42}\\=\frac{109}{42}\)
2. \(\frac{2}{3}+\frac{2}{9}\\=\frac{6}{9}+\frac{2}{9}\\=\frac{6+2}{9}\\=\frac{8}{9}\)
3. \(\frac{3}{8}+\frac{4}{11}\\=\frac{33}{88}+\frac{32}{88}\\=\frac{33+32}{88}\\=\frac{65}{88}\)
4. \(\frac{9}{7}+\frac{6}{11}\\=\frac{99}{77}+\frac{42}{77}\\=\frac{99+42}{77}\\=\frac{141}{77}\)
5. \(\frac{7}{4}+\frac{5}{3}\\=\frac{21}{12}+\frac{20}{12}\\=\frac{21+20}{12}\\=\frac{41}{12}\)
6. \(\frac{10}{7}+\frac{7}{5}\\=\frac{50}{35}+\frac{49}{35}\\=\frac{50+49}{35}\\=\frac{99}{35}\)
7. \(\frac{5}{4}+\frac{7}{9}\\=\frac{45}{36}+\frac{28}{36}\\=\frac{45+28}{36}\\=\frac{73}{36}\)
8. \(\frac{4}{5}+\frac{7}{9}\\=\frac{36}{45}+\frac{35}{45}\\=\frac{36+35}{45}\\=\frac{71}{45}\)
9. \(\frac{2}{5}+\frac{2}{9}\\=\frac{18}{45}+\frac{10}{45}\\=\frac{18+10}{45}\\=\frac{28}{45}\)
10. \(\frac{9}{5}+\frac{6}{11}\\=\frac{99}{55}+\frac{30}{55}\\=\frac{99+30}{55}\\=\frac{129}{55}\)
11. \(\frac{4}{5}+\frac{6}{11}\\=\frac{44}{55}+\frac{30}{55}\\=\frac{44+30}{55}\\=\frac{74}{55}\)
12. \(\frac{4}{3}+\frac{4}{7}\\=\frac{28}{21}+\frac{12}{21}\\=\frac{28+12}{21}\\=\frac{40}{21}\)