Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{9}{7}+\frac{6}{5}\\=\frac{45}{35}+\frac{42}{35}\\=\frac{45+42}{35}\\=\frac{87}{35}\)
2. \(\frac{7}{8}+\frac{6}{11}\\=\frac{77}{88}+\frac{48}{88}\\=\frac{77+48}{88}\\=\frac{125}{88}\)
3. \(\frac{7}{9}+\frac{2}{11}\\=\frac{77}{99}+\frac{18}{99}\\=\frac{77+18}{99}\\=\frac{95}{99}\)
4. \(\frac{8}{3}+\frac{6}{5}\\=\frac{40}{15}+\frac{18}{15}\\=\frac{40+18}{15}\\=\frac{58}{15}\)
5. \(\frac{6}{11}+\frac{3}{7}\\=\frac{42}{77}+\frac{33}{77}\\=\frac{42+33}{77}\\=\frac{75}{77}\)
6. \(\frac{8}{3}+\frac{2}{3}\\=\frac{8+2}{3}\\=\frac{10}{3}\)
7. \(\frac{10}{3}+\frac{8}{3}\\=\frac{10+8}{3}\\=\frac{18}{3}\\=6\)
8. \(\frac{8}{9}+\frac{4}{7}\\=\frac{56}{63}+\frac{36}{63}\\=\frac{56+36}{63}\\=\frac{92}{63}\)
9. \(\frac{9}{2}+\frac{9}{10}\\=\frac{45}{10}+\frac{9}{10}\\=\frac{45+9}{10}\\=\frac{54}{10}\\=\frac{27}{5}\)
10. \(\frac{10}{7}+\frac{9}{11}\\=\frac{110}{77}+\frac{63}{77}\\=\frac{110+63}{77}\\=\frac{173}{77}\)
11. \(\frac{2}{3}+\frac{3}{8}\\=\frac{16}{24}+\frac{9}{24}\\=\frac{16+9}{24}\\=\frac{25}{24}\)
12. \(\frac{8}{3}+\frac{10}{7}\\=\frac{56}{21}+\frac{30}{21}\\=\frac{56+30}{21}\\=\frac{86}{21}\)