Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{5}{12}+\frac{4}{11}\\=\frac{55}{132}+\frac{48}{132}\\=\frac{55+48}{132}\\=\frac{103}{132}\)
2. \(\frac{5}{7}+\frac{2}{7}\\=\frac{5+2}{7}\\=\frac{7}{7}\\=1\)
3. \(\frac{7}{11}+\frac{6}{11}\\=\frac{7+6}{11}\\=\frac{13}{11}\)
4. \(\frac{9}{5}+\frac{4}{5}\\=\frac{9+4}{5}\\=\frac{13}{5}\)
5. \(\frac{6}{5}+\frac{7}{11}\\=\frac{66}{55}+\frac{35}{55}\\=\frac{66+35}{55}\\=\frac{101}{55}\)
6. \(\frac{10}{9}+\frac{2}{9}\\=\frac{10+2}{9}\\=\frac{12}{9}\\=\frac{4}{3}\)
7. \(\frac{5}{6}+\frac{2}{9}\\=\frac{15}{18}+\frac{4}{18}\\=\frac{15+4}{18}\\=\frac{19}{18}\)
8. \(\frac{7}{2}+\frac{9}{11}\\=\frac{77}{22}+\frac{18}{22}\\=\frac{77+18}{22}\\=\frac{95}{22}\)
9. \(\frac{8}{3}+\frac{8}{5}\\=\frac{40}{15}+\frac{24}{15}\\=\frac{40+24}{15}\\=\frac{64}{15}\)
10. \(\frac{9}{2}+\frac{8}{9}\\=\frac{81}{18}+\frac{16}{18}\\=\frac{81+16}{18}\\=\frac{97}{18}\)
11. \(\frac{4}{3}+\frac{10}{11}\\=\frac{44}{33}+\frac{30}{33}\\=\frac{44+30}{33}\\=\frac{74}{33}\)
12. \(\frac{7}{2}+\frac{10}{7}\\=\frac{49}{14}+\frac{20}{14}\\=\frac{49+20}{14}\\=\frac{69}{14}\)