Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{4}{3}+\frac{2}{11}\\=\frac{44}{33}+\frac{6}{33}\\=\frac{44+6}{33}\\=\frac{50}{33}\)
2. \(\frac{8}{3}+\frac{4}{3}\\=\frac{8+4}{3}\\=\frac{12}{3}\\=4\)
3. \(\frac{6}{5}+\frac{3}{10}\\=\frac{12}{10}+\frac{3}{10}\\=\frac{12+3}{10}\\=\frac{15}{10}\\=\frac{3}{2}\)
4. \(\frac{8}{9}+\frac{2}{3}\\=\frac{8+2}{9}\\=\frac{10}{9}\)
5. \(\frac{4}{9}+\frac{3}{11}\\=\frac{44}{99}+\frac{27}{99}\\=\frac{44+27}{99}\\=\frac{71}{99}\)
6. \(\frac{8}{3}+\frac{4}{9}\\=\frac{24}{9}+\frac{4}{9}\\=\frac{24+4}{9}\\=\frac{28}{9}\)
7. \(\frac{3}{7}+\frac{2}{11}\\=\frac{33}{77}+\frac{14}{77}\\=\frac{33+14}{77}\\=\frac{47}{77}\)
8. \(\frac{8}{3}+\frac{9}{7}\\=\frac{56}{21}+\frac{27}{21}\\=\frac{56+27}{21}\\=\frac{83}{21}\)
9. \(\frac{10}{3}+\frac{10}{11}\\=\frac{110}{33}+\frac{30}{33}\\=\frac{110+30}{33}\\=\frac{140}{33}\)
10. \(\frac{9}{8}+\frac{4}{5}\\=\frac{45}{40}+\frac{32}{40}\\=\frac{45+32}{40}\\=\frac{77}{40}\)
11. \(\frac{8}{3}+\frac{7}{12}\\=\frac{32}{12}+\frac{7}{12}\\=\frac{32+7}{12}\\=\frac{39}{12}\\=\frac{13}{4}\)
12. \(\frac{5}{2}+\frac{6}{7}\\=\frac{35}{14}+\frac{12}{14}\\=\frac{35+12}{14}\\=\frac{47}{14}\)