Breuken optellen (reeks 1)

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Tel de breuken op

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

Tel de breuken op

Verbetersleutel

  1. \(\frac{5}{4}+\frac{5}{8}\\=\frac{10}{8}+\frac{5}{8}\\=\frac{10+5}{8}\\=\frac{15}{8}\)
  2. \(\frac{5}{3}+\frac{4}{9}\\=\frac{15}{9}+\frac{4}{9}\\=\frac{15+4}{9}\\=\frac{19}{9}\)
  3. \(\frac{10}{7}+\frac{9}{10}\\=\frac{100}{70}+\frac{63}{70}\\=\frac{100+63}{70}\\=\frac{163}{70}\)
  4. \(\frac{7}{8}+\frac{9}{11}\\=\frac{77}{88}+\frac{72}{88}\\=\frac{77+72}{88}\\=\frac{149}{88}\)
  5. \(\frac{6}{7}+\frac{6}{11}\\=\frac{66}{77}+\frac{42}{77}\\=\frac{66+42}{77}\\=\frac{108}{77}\)
  6. \(\frac{9}{2}+\frac{5}{9}\\=\frac{81}{18}+\frac{10}{18}\\=\frac{81+10}{18}\\=\frac{91}{18}\)
  7. \(\frac{10}{3}+\frac{2}{5}\\=\frac{50}{15}+\frac{6}{15}\\=\frac{50+6}{15}\\=\frac{56}{15}\)
  8. \(\frac{9}{2}+\frac{10}{9}\\=\frac{81}{18}+\frac{20}{18}\\=\frac{81+20}{18}\\=\frac{101}{18}\)
  9. \(\frac{9}{7}+\frac{4}{9}\\=\frac{81}{63}+\frac{28}{63}\\=\frac{81+28}{63}\\=\frac{109}{63}\)
  10. \(\frac{10}{11}+\frac{2}{7}\\=\frac{70}{77}+\frac{22}{77}\\=\frac{70+22}{77}\\=\frac{92}{77}\)
  11. \(\frac{4}{9}+\frac{2}{7}\\=\frac{28}{63}+\frac{18}{63}\\=\frac{28+18}{63}\\=\frac{46}{63}\)
  12. \(\frac{8}{5}+\frac{8}{9}\\=\frac{72}{45}+\frac{40}{45}\\=\frac{72+40}{45}\\=\frac{112}{45}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 08:13:10