Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{4}{3}+\frac{6}{11}\\=\frac{44}{33}+\frac{18}{33}\\=\frac{44+18}{33}\\=\frac{62}{33}\)
2. \(\frac{5}{3}+\frac{3}{7}\\=\frac{35}{21}+\frac{9}{21}\\=\frac{35+9}{21}\\=\frac{44}{21}\)
3. \(\frac{8}{3}+\frac{7}{11}\\=\frac{88}{33}+\frac{21}{33}\\=\frac{88+21}{33}\\=\frac{109}{33}\)
4. \(\frac{5}{6}+\frac{6}{11}\\=\frac{55}{66}+\frac{36}{66}\\=\frac{55+36}{66}\\=\frac{91}{66}\)
5. \(\frac{3}{8}+\frac{3}{8}\\=\frac{3+3}{8}\\=\frac{6}{8}\\=\frac{3}{4}\)
6. \(\frac{10}{7}+\frac{3}{8}\\=\frac{80}{56}+\frac{21}{56}\\=\frac{80+21}{56}\\=\frac{101}{56}\)
7. \(\frac{8}{9}+\frac{5}{12}\\=\frac{32}{36}+\frac{15}{36}\\=\frac{32+15}{36}\\=\frac{47}{36}\)
8. \(\frac{3}{2}+\frac{3}{4}\\=\frac{6}{4}+\frac{3}{4}\\=\frac{6+3}{4}\\=\frac{9}{4}\)
9. \(\frac{6}{7}+\frac{2}{7}\\=\frac{6+2}{7}\\=\frac{8}{7}\)
10. \(\frac{8}{9}+\frac{4}{5}\\=\frac{40}{45}+\frac{36}{45}\\=\frac{40+36}{45}\\=\frac{76}{45}\)
11. \(\frac{10}{3}+\frac{8}{11}\\=\frac{110}{33}+\frac{24}{33}\\=\frac{110+24}{33}\\=\frac{134}{33}\)
12. \(\frac{9}{2}+\frac{3}{2}\\=\frac{9+3}{2}\\=\frac{12}{2}\\=6\)