Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{5}{12}+\frac{2}{5}\\=\frac{25}{60}+\frac{24}{60}\\=\frac{25+24}{60}\\=\frac{49}{60}\)
2. \(\frac{9}{7}+\frac{8}{11}\\=\frac{99}{77}+\frac{56}{77}\\=\frac{99+56}{77}\\=\frac{155}{77}\)
3. \(\frac{6}{7}+\frac{3}{10}\\=\frac{60}{70}+\frac{21}{70}\\=\frac{60+21}{70}\\=\frac{81}{70}\)
4. \(\frac{8}{5}+\frac{4}{5}\\=\frac{8+4}{5}\\=\frac{12}{5}\)
5. \(\frac{8}{7}+\frac{3}{4}\\=\frac{32}{28}+\frac{21}{28}\\=\frac{32+21}{28}\\=\frac{53}{28}\)
6. \(\frac{8}{7}+\frac{3}{10}\\=\frac{80}{70}+\frac{21}{70}\\=\frac{80+21}{70}\\=\frac{101}{70}\)
7. \(\frac{4}{3}+\frac{9}{8}\\=\frac{32}{24}+\frac{27}{24}\\=\frac{32+27}{24}\\=\frac{59}{24}\)
8. \(\frac{6}{11}+\frac{6}{11}\\=\frac{6+6}{11}\\=\frac{12}{11}\)
9. \(\frac{3}{2}+\frac{2}{7}\\=\frac{21}{14}+\frac{4}{14}\\=\frac{21+4}{14}\\=\frac{25}{14}\)
10. \(\frac{4}{5}+\frac{4}{11}\\=\frac{44}{55}+\frac{20}{55}\\=\frac{44+20}{55}\\=\frac{64}{55}\)
11. \(\frac{10}{11}+\frac{4}{7}\\=\frac{70}{77}+\frac{44}{77}\\=\frac{70+44}{77}\\=\frac{114}{77}\)
12. \(\frac{7}{4}+\frac{4}{11}\\=\frac{77}{44}+\frac{16}{44}\\=\frac{77+16}{44}\\=\frac{93}{44}\)