Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{8}{3}+\frac{8}{7}\\=\frac{56}{21}+\frac{24}{21}\\=\frac{56+24}{21}\\=\frac{80}{21}\)
2. \(\frac{8}{5}+\frac{5}{4}\\=\frac{32}{20}+\frac{25}{20}\\=\frac{32+25}{20}\\=\frac{57}{20}\)
3. \(\frac{8}{7}+\frac{4}{7}\\=\frac{8+4}{7}\\=\frac{12}{7}\)
4. \(\frac{10}{3}+\frac{10}{7}\\=\frac{70}{21}+\frac{30}{21}\\=\frac{70+30}{21}\\=\frac{100}{21}\)
5. \(\frac{7}{2}+\frac{5}{3}\\=\frac{21}{6}+\frac{10}{6}\\=\frac{21+10}{6}\\=\frac{31}{6}\)
6. \(\frac{10}{9}+\frac{7}{8}\\=\frac{80}{72}+\frac{63}{72}\\=\frac{80+63}{72}\\=\frac{143}{72}\)
7. \(\frac{8}{7}+\frac{5}{9}\\=\frac{72}{63}+\frac{35}{63}\\=\frac{72+35}{63}\\=\frac{107}{63}\)
8. \(\frac{3}{2}+\frac{5}{12}\\=\frac{18}{12}+\frac{5}{12}\\=\frac{18+5}{12}\\=\frac{23}{12}\)
9. \(\frac{9}{7}+\frac{10}{11}\\=\frac{99}{77}+\frac{70}{77}\\=\frac{99+70}{77}\\=\frac{169}{77}\)
10. \(\frac{8}{11}+\frac{2}{3}\\=\frac{24}{33}+\frac{22}{33}\\=\frac{24+22}{33}\\=\frac{46}{33}\)
11. \(\frac{8}{11}+\frac{2}{7}\\=\frac{56}{77}+\frac{22}{77}\\=\frac{56+22}{77}\\=\frac{78}{77}\)
12. \(\frac{6}{11}+\frac{2}{5}\\=\frac{30}{55}+\frac{22}{55}\\=\frac{30+22}{55}\\=\frac{52}{55}\)