Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{9}{10}+\frac{2}{3}\\=\frac{27}{30}+\frac{20}{30}\\=\frac{27+20}{30}\\=\frac{47}{30}\)
2. \(\frac{5}{2}+\frac{3}{2}\\=\frac{5+3}{2}\\=\frac{8}{2}\\=4\)
3. \(\frac{8}{11}+\frac{5}{8}\\=\frac{64}{88}+\frac{55}{88}\\=\frac{64+55}{88}\\=\frac{119}{88}\)
4. \(\frac{8}{5}+\frac{3}{7}\\=\frac{56}{35}+\frac{15}{35}\\=\frac{56+15}{35}\\=\frac{71}{35}\)
5. \(\frac{9}{2}+\frac{5}{6}\\=\frac{27}{6}+\frac{5}{6}\\=\frac{27+5}{6}\\=\frac{32}{6}\\=\frac{16}{3}\)
6. \(\frac{6}{5}+\frac{7}{9}\\=\frac{54}{45}+\frac{35}{45}\\=\frac{54+35}{45}\\=\frac{89}{45}\)
7. \(\frac{10}{7}+\frac{6}{5}\\=\frac{50}{35}+\frac{42}{35}\\=\frac{50+42}{35}\\=\frac{92}{35}\)
8. \(\frac{7}{2}+\frac{8}{11}\\=\frac{77}{22}+\frac{16}{22}\\=\frac{77+16}{22}\\=\frac{93}{22}\)
9. \(\frac{10}{9}+\frac{6}{7}\\=\frac{70}{63}+\frac{54}{63}\\=\frac{70+54}{63}\\=\frac{124}{63}\)
10. \(\frac{7}{8}+\frac{3}{11}\\=\frac{77}{88}+\frac{24}{88}\\=\frac{77+24}{88}\\=\frac{101}{88}\)
11. \(\frac{10}{7}+\frac{8}{9}\\=\frac{90}{63}+\frac{56}{63}\\=\frac{90+56}{63}\\=\frac{146}{63}\)
12. \(\frac{3}{2}+\frac{10}{7}\\=\frac{21}{14}+\frac{20}{14}\\=\frac{21+20}{14}\\=\frac{41}{14}\)