Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{3}{2}+\frac{4}{11}\\=\frac{33}{22}+\frac{8}{22}\\=\frac{33+8}{22}\\=\frac{41}{22}\)
2. \(\frac{8}{5}+\frac{6}{11}\\=\frac{88}{55}+\frac{30}{55}\\=\frac{88+30}{55}\\=\frac{118}{55}\)
3. \(\frac{9}{4}+\frac{3}{4}\\=\frac{9+3}{4}\\=\frac{12}{4}\\=3\)
4. \(\frac{7}{3}+\frac{10}{9}\\=\frac{21}{9}+\frac{10}{9}\\=\frac{21+10}{9}\\=\frac{31}{9}\)
5. \(\frac{10}{9}+\frac{8}{9}\\=\frac{10+8}{9}\\=\frac{18}{9}\\=2\)
6. \(\frac{3}{2}+\frac{8}{11}\\=\frac{33}{22}+\frac{16}{22}\\=\frac{33+16}{22}\\=\frac{49}{22}\)
7. \(\frac{3}{2}+\frac{4}{7}\\=\frac{21}{14}+\frac{8}{14}\\=\frac{21+8}{14}\\=\frac{29}{14}\)
8. \(\frac{8}{5}+\frac{3}{8}\\=\frac{64}{40}+\frac{15}{40}\\=\frac{64+15}{40}\\=\frac{79}{40}\)
9. \(\frac{9}{4}+\frac{9}{5}\\=\frac{45}{20}+\frac{36}{20}\\=\frac{45+36}{20}\\=\frac{81}{20}\)
10. \(\frac{10}{3}+\frac{6}{11}\\=\frac{110}{33}+\frac{18}{33}\\=\frac{110+18}{33}\\=\frac{128}{33}\)
11. \(\frac{8}{3}+\frac{10}{11}\\=\frac{88}{33}+\frac{30}{33}\\=\frac{88+30}{33}\\=\frac{118}{33}\)
12. \(\frac{8}{11}+\frac{2}{5}\\=\frac{40}{55}+\frac{22}{55}\\=\frac{40+22}{55}\\=\frac{62}{55}\)