Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{11}+\frac{4}{5}\\=\frac{50}{55}+\frac{44}{55}\\=\frac{50+44}{55}\\=\frac{94}{55}\)
2. \(\frac{6}{5}+\frac{3}{11}\\=\frac{66}{55}+\frac{15}{55}\\=\frac{66+15}{55}\\=\frac{81}{55}\)
3. \(\frac{4}{7}+\frac{2}{11}\\=\frac{44}{77}+\frac{14}{77}\\=\frac{44+14}{77}\\=\frac{58}{77}\)
4. \(\frac{4}{3}+\frac{5}{11}\\=\frac{44}{33}+\frac{15}{33}\\=\frac{44+15}{33}\\=\frac{59}{33}\)
5. \(\frac{8}{7}+\frac{2}{7}\\=\frac{8+2}{7}\\=\frac{10}{7}\)
6. \(\frac{9}{8}+\frac{2}{11}\\=\frac{99}{88}+\frac{16}{88}\\=\frac{99+16}{88}\\=\frac{115}{88}\)
7. \(\frac{6}{11}+\frac{2}{9}\\=\frac{54}{99}+\frac{22}{99}\\=\frac{54+22}{99}\\=\frac{76}{99}\)
8. \(\frac{9}{4}+\frac{4}{7}\\=\frac{63}{28}+\frac{16}{28}\\=\frac{63+16}{28}\\=\frac{79}{28}\)
9. \(\frac{9}{10}+\frac{2}{11}\\=\frac{99}{110}+\frac{20}{110}\\=\frac{99+20}{110}\\=\frac{119}{110}\)
10. \(\frac{10}{3}+\frac{10}{11}\\=\frac{110}{33}+\frac{30}{33}\\=\frac{110+30}{33}\\=\frac{140}{33}\)
11. \(\frac{5}{2}+\frac{3}{7}\\=\frac{35}{14}+\frac{6}{14}\\=\frac{35+6}{14}\\=\frac{41}{14}\)
12. \(\frac{9}{11}+\frac{5}{12}\\=\frac{108}{132}+\frac{55}{132}\\=\frac{108+55}{132}\\=\frac{163}{132}\)