Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{9}{7}+\frac{4}{7}\\=\frac{9+4}{7}\\=\frac{13}{7}\)
2. \(\frac{2}{3}+\frac{4}{9}\\=\frac{6}{9}+\frac{4}{9}\\=\frac{6+4}{9}\\=\frac{10}{9}\)
3. \(\frac{3}{2}+\frac{6}{11}\\=\frac{33}{22}+\frac{12}{22}\\=\frac{33+12}{22}\\=\frac{45}{22}\)
4. \(\frac{5}{8}+\frac{3}{11}\\=\frac{55}{88}+\frac{24}{88}\\=\frac{55+24}{88}\\=\frac{79}{88}\)
5. \(\frac{4}{5}+\frac{4}{9}\\=\frac{36}{45}+\frac{20}{45}\\=\frac{36+20}{45}\\=\frac{56}{45}\)
6. \(\frac{4}{3}+\frac{6}{11}\\=\frac{44}{33}+\frac{18}{33}\\=\frac{44+18}{33}\\=\frac{62}{33}\)
7. \(\frac{4}{3}+\frac{7}{8}\\=\frac{32}{24}+\frac{21}{24}\\=\frac{32+21}{24}\\=\frac{53}{24}\)
8. \(\frac{8}{3}+\frac{10}{7}\\=\frac{56}{21}+\frac{30}{21}\\=\frac{56+30}{21}\\=\frac{86}{21}\)
9. \(\frac{5}{8}+\frac{3}{7}\\=\frac{35}{56}+\frac{24}{56}\\=\frac{35+24}{56}\\=\frac{59}{56}\)
10. \(\frac{10}{9}+\frac{9}{10}\\=\frac{100}{90}+\frac{81}{90}\\=\frac{100+81}{90}\\=\frac{181}{90}\)
11. \(\frac{5}{2}+\frac{8}{11}\\=\frac{55}{22}+\frac{16}{22}\\=\frac{55+16}{22}\\=\frac{71}{22}\)
12. \(\frac{5}{2}+\frac{4}{5}\\=\frac{25}{10}+\frac{8}{10}\\=\frac{25+8}{10}\\=\frac{33}{10}\)