Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{6}{5}+\frac{4}{5}\\=\frac{6+4}{5}\\=\frac{10}{5}\\=2\)
2. \(\frac{5}{4}+\frac{3}{8}\\=\frac{10}{8}+\frac{3}{8}\\=\frac{10+3}{8}\\=\frac{13}{8}\)
3. \(\frac{7}{9}+\frac{5}{7}\\=\frac{49}{63}+\frac{45}{63}\\=\frac{49+45}{63}\\=\frac{94}{63}\)
4. \(\frac{7}{10}+\frac{3}{11}\\=\frac{77}{110}+\frac{30}{110}\\=\frac{77+30}{110}\\=\frac{107}{110}\)
5. \(\frac{7}{2}+\frac{2}{3}\\=\frac{21}{6}+\frac{4}{6}\\=\frac{21+4}{6}\\=\frac{25}{6}\)
6. \(\frac{10}{9}+\frac{9}{10}\\=\frac{100}{90}+\frac{81}{90}\\=\frac{100+81}{90}\\=\frac{181}{90}\)
7. \(\frac{10}{11}+\frac{7}{8}\\=\frac{80}{88}+\frac{77}{88}\\=\frac{80+77}{88}\\=\frac{157}{88}\)
8. \(\frac{7}{3}+\frac{10}{9}\\=\frac{21}{9}+\frac{10}{9}\\=\frac{21+10}{9}\\=\frac{31}{9}\)
9. \(\frac{4}{5}+\frac{2}{5}\\=\frac{4+2}{5}\\=\frac{6}{5}\)
10. \(\frac{9}{2}+\frac{6}{7}\\=\frac{63}{14}+\frac{12}{14}\\=\frac{63+12}{14}\\=\frac{75}{14}\)
11. \(\frac{6}{5}+\frac{6}{11}\\=\frac{66}{55}+\frac{30}{55}\\=\frac{66+30}{55}\\=\frac{96}{55}\)
12. \(\frac{4}{3}+\frac{7}{11}\\=\frac{44}{33}+\frac{21}{33}\\=\frac{44+21}{33}\\=\frac{65}{33}\)