Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{5}{4}+\frac{7}{10}\\=\frac{25}{20}+\frac{14}{20}\\=\frac{25+14}{20}\\=\frac{39}{20}\)
2. \(\frac{8}{5}+\frac{5}{8}\\=\frac{64}{40}+\frac{25}{40}\\=\frac{64+25}{40}\\=\frac{89}{40}\)
3. \(\frac{6}{5}+\frac{2}{5}\\=\frac{6+2}{5}\\=\frac{8}{5}\)
4. \(\frac{8}{7}+\frac{4}{9}\\=\frac{72}{63}+\frac{28}{63}\\=\frac{72+28}{63}\\=\frac{100}{63}\)
5. \(\frac{7}{2}+\frac{3}{10}\\=\frac{35}{10}+\frac{3}{10}\\=\frac{35+3}{10}\\=\frac{38}{10}\\=\frac{19}{5}\)
6. \(\frac{6}{11}+\frac{3}{7}\\=\frac{42}{77}+\frac{33}{77}\\=\frac{42+33}{77}\\=\frac{75}{77}\)
7. \(\frac{8}{3}+\frac{7}{5}\\=\frac{40}{15}+\frac{21}{15}\\=\frac{40+21}{15}\\=\frac{61}{15}\)
8. \(\frac{9}{7}+\frac{5}{4}\\=\frac{36}{28}+\frac{35}{28}\\=\frac{36+35}{28}\\=\frac{71}{28}\)
9. \(\frac{6}{7}+\frac{2}{5}\\=\frac{30}{35}+\frac{14}{35}\\=\frac{30+14}{35}\\=\frac{44}{35}\)
10. \(\frac{9}{10}+\frac{6}{7}\\=\frac{63}{70}+\frac{60}{70}\\=\frac{63+60}{70}\\=\frac{123}{70}\)
11. \(\frac{9}{5}+\frac{7}{6}\\=\frac{54}{30}+\frac{35}{30}\\=\frac{54+35}{30}\\=\frac{89}{30}\)
12. \(\frac{3}{4}+\frac{4}{7}\\=\frac{21}{28}+\frac{16}{28}\\=\frac{21+16}{28}\\=\frac{37}{28}\)