Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{8}{7}+\frac{2}{7}\\=\frac{8+2}{7}\\=\frac{10}{7}\)
2. \(\frac{10}{7}+\frac{7}{5}\\=\frac{50}{35}+\frac{49}{35}\\=\frac{50+49}{35}\\=\frac{99}{35}\)
3. \(\frac{9}{8}+\frac{4}{7}\\=\frac{63}{56}+\frac{32}{56}\\=\frac{63+32}{56}\\=\frac{95}{56}\)
4. \(\frac{10}{7}+\frac{6}{5}\\=\frac{50}{35}+\frac{42}{35}\\=\frac{50+42}{35}\\=\frac{92}{35}\)
5. \(\frac{10}{7}+\frac{4}{5}\\=\frac{50}{35}+\frac{28}{35}\\=\frac{50+28}{35}\\=\frac{78}{35}\)
6. \(\frac{6}{7}+\frac{5}{7}\\=\frac{6+5}{7}\\=\frac{11}{7}\)
7. \(\frac{6}{5}+\frac{4}{5}\\=\frac{6+4}{5}\\=\frac{10}{5}\\=2\)
8. \(\frac{9}{2}+\frac{2}{3}\\=\frac{27}{6}+\frac{4}{6}\\=\frac{27+4}{6}\\=\frac{31}{6}\)
9. \(\frac{9}{4}+\frac{5}{7}\\=\frac{63}{28}+\frac{20}{28}\\=\frac{63+20}{28}\\=\frac{83}{28}\)
10. \(\frac{3}{2}+\frac{10}{9}\\=\frac{27}{18}+\frac{20}{18}\\=\frac{27+20}{18}\\=\frac{47}{18}\)
11. \(\frac{9}{8}+\frac{4}{11}\\=\frac{99}{88}+\frac{32}{88}\\=\frac{99+32}{88}\\=\frac{131}{88}\)
12. \(\frac{9}{4}+\frac{5}{3}\\=\frac{27}{12}+\frac{20}{12}\\=\frac{27+20}{12}\\=\frac{47}{12}\)