Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{7}{4}+\frac{2}{7}\\=\frac{49}{28}+\frac{8}{28}\\=\frac{49+8}{28}\\=\frac{57}{28}\)
2. \(\frac{10}{3}+\frac{3}{2}\\=\frac{20}{6}+\frac{9}{6}\\=\frac{20+9}{6}\\=\frac{29}{6}\)
3. \(\frac{9}{7}+\frac{4}{9}\\=\frac{81}{63}+\frac{28}{63}\\=\frac{81+28}{63}\\=\frac{109}{63}\)
4. \(\frac{7}{4}+\frac{10}{11}\\=\frac{77}{44}+\frac{40}{44}\\=\frac{77+40}{44}\\=\frac{117}{44}\)
5. \(\frac{2}{3}+\frac{2}{11}\\=\frac{22}{33}+\frac{6}{33}\\=\frac{22+6}{33}\\=\frac{28}{33}\)
6. \(\frac{8}{7}+\frac{3}{4}\\=\frac{32}{28}+\frac{21}{28}\\=\frac{32+21}{28}\\=\frac{53}{28}\)
7. \(\frac{7}{8}+\frac{2}{9}\\=\frac{63}{72}+\frac{16}{72}\\=\frac{63+16}{72}\\=\frac{79}{72}\)
8. \(\frac{8}{3}+\frac{8}{7}\\=\frac{56}{21}+\frac{24}{21}\\=\frac{56+24}{21}\\=\frac{80}{21}\)
9. \(\frac{3}{5}+\frac{6}{11}\\=\frac{33}{55}+\frac{30}{55}\\=\frac{33+30}{55}\\=\frac{63}{55}\)
10. \(\frac{3}{7}+\frac{3}{8}\\=\frac{24}{56}+\frac{21}{56}\\=\frac{24+21}{56}\\=\frac{45}{56}\)
11. \(\frac{3}{11}+\frac{2}{9}\\=\frac{27}{99}+\frac{22}{99}\\=\frac{27+22}{99}\\=\frac{49}{99}\)
12. \(\frac{7}{9}+\frac{4}{11}\\=\frac{77}{99}+\frac{36}{99}\\=\frac{77+36}{99}\\=\frac{113}{99}\)